Radar signal simulation and performance test method and system

Abstract

The invention discloses a radar signal simulation and performance testing method and system, and relates to the technical field of radar signal performance testing, and the method comprises the following steps: carrying out the refining reconstruction of a simulation time axis according to the continuous motion state of a high-speed target, and adjusting a unified time step length into a time resolution sequence which changes along with the speed change of the target in a linkage manner; and under the constraint of the time resolution sequence, adding a direction consistency mark to the frequency shift component generated at each moment. According to the method, Doppler frequency shift calculation is carried out under a unified time reference through a time axis refinement reconstruction and time resolution sequence linkage mechanism, and reverse drift of a frequency shift symbol is prevented and stable speed judgment is ensured in combination with direction consistency marking and frequency spectrum trajectory constraint. Feedback adjustment is carried out on Doppler calculation based on a speed smoothing mechanism of spectrum center continuous tracking, adaptive evolution is achieved, direction reversal caused by local disturbance is restrained, and simulation stability and evaluation result consistency are improved.

Description

Technical Field

[0001] This invention relates to the field of radar signal performance testing technology, specifically to radar signal simulation and performance testing methods and systems. Background Technology

[0002] Radar signal simulation and performance testing is a virtual evaluation method proposed to address the difficulty of physical verification of radar systems during the design phase. By constructing a complete radar signal generation, propagation, reflection, and reception processing chain in a computer environment, it achieves accurate reproduction of the radar's operation and quantitative performance evaluation. This method leverages MATLAB's numerical computation and signal processing capabilities to build a high-fidelity simulation framework including scene management, transmitted signal generation, propagation channel modeling, target response simulation, and received signal processing. It can realistically reproduce complex electromagnetic effects such as target motion, Doppler shift, atmospheric attenuation, and noise interference in virtual space. A performance evaluation model is established based on radar equations, enabling quantitative analysis of core system indicators such as range resolution, velocity accuracy, and detection range. The supporting system adopts a modular architecture design, supporting customized simulation scenarios and flexible parameter configuration. It can automatically complete signal generation, performance calculation, and result report output without the need for expensive physical testing equipment. This simulation and testing technology significantly reduces the cost and time required for early verification of radar systems, providing an efficient and reproducible virtual testing platform for algorithm verification, architecture optimization, and multi-mode radar performance evaluation.

[0003] The existing technology has the following shortcomings: In high-speed target dynamic simulation, due to the complex motion state of the target and the superposition of multiple frequency shift components, the simulation system is prone to reverse drift in the frequency shift direction when numerically solving for the Doppler frequency due to the gradual accumulation of floating-point approximation errors. When this drift accumulates to a critical threshold within a continuous calculation period, it can cause the system to misjudge the velocity direction during the spectrum analysis stage, incorrectly identifying a target that is actually approaching as one that is moving away. This type of error is particularly insidious in dynamic multi-target scenarios, often amplified when Doppler components are transiently superimposed, ultimately causing an overall reversal of the velocity measurement results. This leads to errors in velocity feature recognition during radar system performance evaluation, affecting algorithm reliability and model verification accuracy, and may even mislead subsequent adjustments to radar signal processing strategies.

[0004] The information disclosed in the background section is only intended to enhance the understanding of the background of this disclosure, and therefore may include information that does not constitute prior art known to those skilled in the art. Summary of the Invention

[0005] The purpose of this invention is to provide a method and system for radar signal simulation and performance testing to solve the problems mentioned in the background art.

[0006] To achieve the above objectives, the present invention provides the following technical solution: a radar signal simulation and performance testing method, comprising the following steps: Step 1: For the continuous motion state of the high-speed target, the simulation time axis is refined and reconstructed. The unified time step is adjusted to a time-resolved sequence that changes in conjunction with the target velocity. At the beginning of the frequency shift calculation, the phase change span between adjacent samples is compressed to establish a common time reference for the subsequent superposition of frequency shift components. Step 2: Under the constraint of the time-resolved sequence, add a direction consistency mark to the frequency shift component generated at each time step, and limit the range of frequency shift sign change according to the direction consistency mark during the superposition of frequency shift components. The time-resolved sequence and the direction consistency mark are used together for the spectrum evolution calculation. Step 3: Based on the frequency shift superposition results constrained by the direction consistency mark, the center evolution trajectory of the instantaneous spectrum is continuously tracked, and the range of spectrum center position change between adjacent time moments is limited according to the time-resolved sequence to prevent the spectrum center from generating zero-frequency crossing under the influence of numerical fluctuations, thus maintaining the unidirectional evolution characteristics of velocity judgment. Step 4: Based on the continuous constraint of the evolution trajectory of the spectrum center, establish a velocity evolution smoothing mechanism to synchronously correlate the velocity determination result of the previous moment with the current spectrum center change result, allowing continuous changes only within the evolution range and suppressing the overall direction reversal caused by local numerical disturbances. Step 5: Based on the smoothed velocity evolution results, feedback adjustments are made to the subsequent Doppler calculation process, updating the time-resolved sequence settings and the calculation method for the superposition of frequency shift components. This ensures that the entire high-speed target dynamic simulation process continues under the constraints of a unified time reference, direction consistency markers, and spectral evolution trajectory, suppressing the generation of velocity direction reversal from the source and ensuring the stability and accuracy of radar performance evaluation results.

[0007] Preferably, the steps for refining and reconstructing the simulation time axis for the continuous motion state of a high-speed target include: Based on the continuous motion state of the high-speed target, the original simulation time axis is decomposed point by point, and the time nodes with equal intervals are re-divided into a set of time points with non-uniform intervals. The time interval is determined according to the velocity change trend of the target at each moment, forming a time-resolved sequence that can reflect the rhythm of the target's motion. After generating the time-resolved sequence, the phase change is calculated for each pair of adjacent time nodes. The phase change is proportionally adjusted according to the velocity difference between adjacent time nodes. A compression operation is performed on the phase increment that exceeds a set threshold to obtain phase change data with a smooth transition. The time-resolved sequence is jointly correlated with the compressed phase change data to form a time-phase mapping table corresponding to each node, establishing a unified time reference. When generating the mapping table, the interval error between time nodes is cumulatively corrected to maintain the stability of the time reference. Based on the establishment of the time base, the time-resolved sequence is refined and adjusted according to the rate of change of velocity between the preceding and following nodes. The continuity of the time distribution is maintained by inserting transitional time nodes, and the adjusted time-resolved sequence is re-matched with the time base to ensure a strict correspondence between the time nodes and the phase data.

[0008] Preferably, the steps of adding a direction consistency mark to the frequency shift components generated at each time step under the constraint of the time-resolved sequence and limiting the range of frequency shift sign change based on the direction consistency mark during the superposition of frequency shift components include: Based on the established time-resolved sequence, a corresponding frequency shift component is generated at each time node. Each frequency shift component is determined according to the velocity direction, velocity change trend and relative motion direction with the radar line of sight at that time node, and is assigned a unique time index identifier to achieve a one-to-one correspondence with the time node. After the frequency shift components are generated, a direction consistency mark is added to each frequency shift component. The mark state is determined according to the velocity direction change between adjacent time nodes. The frequency shift sign remains unchanged in the continuous state and the frequency shift sign change range is limited in the transition state. The frequency shift components are sequentially superimposed in the time-resolved sequence, and the change amplitude of the frequency shift symbol is limited according to the direction consistency mark, so that the frequency shift symbol maintains the unidirectional evolution characteristic in continuous calculation and prevents the frequency shift direction reversal. The local state of the spectrum is updated based on the superposition of frequency shift components, and the smooth extension of the spectrum evolution direction is controlled according to the directional consistency mark, so that the time-resolved sequence and the directional consistency mark maintain synchronous operation in the spectral dimension and form a continuous and stable frequency shift evolution trajectory.

[0009] Preferably, the steps of continuously tracking the center evolution trajectory of the instantaneous spectrum based on the frequency shift superposition result constrained by the direction consistency mark and limiting the range of spectral center position changes at adjacent time points according to the time-resolved sequence include: Based on the frequency shift superposition results constrained by the direction consistency mark, the instantaneous spectrum distribution information at each moment is extracted and the initial position of the spectrum center is determined. The energy centroid is obtained by weighted calculation of the amplitude change within the frequency range, and the spectrum center of each time node is recorded as center point data with time label. Based on the initial position of the spectrum center, the center point is continuously tracked according to the node order of the time-resolved sequence, adjacent time nodes are connected to form an evolution trajectory, and the change in the position of the spectrum center is restricted to maintain the continuity of the trajectory. During continuous tracking of the spectrum center, the allowable movement range of the spectrum center is established based on the time-resolved sequence, and the range of change of the spectrum center is limited by the direction consistency mark to prevent the spectrum center from crossing zero frequency. Based on the limitation of the range of change of the spectrum center, the evolution trajectory of the spectrum center is continuously smoothed. The position of the spectrum center at the previous moment is used as a reference point to constrain the current position of the spectrum center, so as to keep the spectrum center continuously advancing in a single direction and avoid directional reversal.

[0010] Preferably, during the continuous smoothing process of the evolution trajectory of the spectrum center, the direction consistency mark is used as the basis for directional constraints to correct the reverse trend of the spectrum center towards the zero frequency direction, and the spectrum center is kept to extend along the original direction according to the advancement order of the time-resolved sequence, so as to ensure that the spectrum center does not reverse direction or cross the zero frequency position throughout the entire simulation time.

[0011] Preferably, the steps of establishing a velocity evolution smoothing mechanism based on the continuous constraint of the spectrum center evolution trajectory and synchronously associating the velocity determination result of the previous moment with the current spectrum center change result, allowing only continuous changes within the evolution range, include: Based on the results of continuous constraints on the evolution trajectory of the spectrum center, the rate of change of the spectrum center at each time node is extracted. The frequency shift trend is determined according to the difference in the center position between adjacent nodes, and the time interval is recorded to establish a velocity change dataset corresponding to the time reference. Based on the obtained rate of change of the center of the spectrum, it is synchronously associated with the velocity determination result of the previous moment. The velocity direction of the previous moment is used as the initial direction and the direction is finely adjusted according to the current rate of change of the center of the spectrum. The range of velocity direction change is limited under the constraint of direction consistency. The velocity variation amplitude is limited based on the evolution range of the time-resolved sequence, narrowing the variation range in short time intervals and expanding the variation range in long time intervals, while maintaining a continuous transition of velocity variation by combining the smoothness of the evolution trajectory at the center of the spectrum. The velocity evolution process is continuously smoothed under time-resolved sequence and amplitude constraint. The current velocity determination result is dynamically correlated with the result of the previous moment. The velocity change is kept to advance continuously in a single direction and prevented from reversing direction by using the direction of the spectrum center as a constraint.

[0012] Preferably, during the velocity evolution smoothing process, the velocity direction at the previous moment is used as the extension reference and the current rate of change of the spectrum center is combined to perform directional constraints. When the velocity direction is detected to deviate from the evolution direction of the spectrum center, the velocity change direction is corrected according to the directional consistency constraint, so that the velocity evolution process maintains unidirectional continuous advancement throughout the entire time-resolved sequence and prevents the overall direction from reversing.

[0013] Preferably, the steps of performing feedback adjustments and updating the time-resolved sequence settings and frequency shift component superposition calculation method based on the smoothed velocity evolution results in subsequent Doppler calculations include: Based on the smoothed velocity evolution results, the time-resolved sequence on the simulation time axis is dynamically updated. The time interval between adjacent time nodes is recalculated according to the velocity change characteristics. The node spacing is increased when the velocity change slows down and shortened when the velocity change accelerates, so that the time-resolved sequence and velocity state are updated synchronously. Based on the completion of time-resolved sequence update, the calculation method of frequency shift component superposition is adjusted according to the smooth velocity evolution results, the frequency shift superposition ratio is corrected according to the velocity change amplitude, and the consistency of frequency shift symbol in the time progression is maintained under the constraint of direction consistency mark. By jointly feeding back the time-resolved sequence and the frequency-shift superposition result, a dynamic correction mechanism for Doppler calculation is formed. When the velocity state changes, the distribution of time nodes and the frequency-shift superposition method are adjusted synchronously to maintain the coordinated change of time and frequency dimensions. Based on the completion of joint feedback, the time reference, direction consistency marker and spectral evolution trajectory are constrained and integrated throughout the process to form a closed dynamic control loop. Under a unified framework, the time-resolved sequence, frequency shift superposition and velocity evolution process are updated synchronously and the velocity direction reversal is prevented.

[0014] Preferably, during the dynamic feedback adjustment process, the update of the time-resolved sequence and the correction of the frequency shift component superposition are performed simultaneously. The node interval of the time-resolved sequence is adjusted in real time according to the velocity evolution results, the superposition ratio of the frequency shift component is dynamically corrected according to the velocity change amplitude, and the frequency shift sign is always constrained by the direction consistency mark. Under the joint constraints of the time reference, the direction consistency mark and the spectral evolution trajectory, the continuity and stability of the spectral evolution direction are maintained.

[0015] The radar signal simulation and performance testing system includes a time-resolved reconstruction module, a direction consistency constraint module, a spectrum trajectory tracking module, a velocity smoothing correlation module, and a dynamic feedback adjustment module. The time-resolved reconstruction module refines and reconstructs the simulation time axis for the continuous motion state of high-speed targets, adjusting the uniform time step into a time-resolved sequence that changes in tandem with the target velocity. The directional consistency constraint module, under the constraint of the time-resolved sequence, adds a directional consistency mark to the frequency shift components generated at each time step, and limits the range of frequency shift sign change based on the directional consistency mark during the superposition of frequency shift components. The spectrum trajectory tracking module continuously tracks the center evolution trajectory of the instantaneous spectrum based on the frequency shift superposition result constrained by the direction consistency mark, and limits the range of spectrum center position change between adjacent time moments according to the time-resolved sequence. The velocity smoothing correlation module establishes a velocity evolution smoothing mechanism based on the continuous constraint of the spectrum center evolution trajectory. It synchronously correlates the velocity determination result of the previous moment with the current spectrum center change result, and only allows continuous changes to occur within the evolution range. The dynamic feedback adjustment module performs feedback adjustments on the subsequent Doppler calculation process based on the smoothed velocity evolution results, updating the time-resolved sequence settings and the calculation method for the superposition of frequency shift components.

[0016] The technical effects and advantages provided by the present invention in the above technical solution are as follows: This invention refines and reconstructs the simulation timeline and introduces a time-resolved sequence that changes in tandem with the target velocity. This ensures that the Doppler frequency shift calculation is always based on a unified and continuous time reference. Simultaneously, controlled compression of the phase change span effectively reduces the cumulative diffusion effect of floating-point approximation errors in high-speed target scenarios. During the generation and superposition of frequency shift components, the coordinated constraint of directional consistency marking and the evolution trajectory of the spectrum center ensures that the spectrum maintains a unidirectional continuous characteristic over time. This fundamentally prevents the frequency shift sign from drifting in the opposite direction due to numerical fluctuations, thus guaranteeing the stability and consistency of velocity direction determination throughout the simulation process.

[0017] This invention constructs a velocity evolution smoothing mechanism based on continuous tracking of the spectrum center, and uses the velocity evolution results to adjust the subsequent Doppler calculation process, so that the time-resolved sequence setting and the frequency shift component superposition method dynamically and coordinately change with the target's motion state. This method enables the high-speed target dynamic simulation process to form a closed adaptive evolution link, limiting local numerical disturbances to a controlled range and preventing them from expanding into an overall direction reversal. This improves the numerical stability and consistency of radar signal simulation in complex multi-target high-speed scenarios, providing a more reliable and repeatable simulation basis for radar performance evaluation. Attached Figure Description

[0018] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments recorded in this invention. For those skilled in the art, other drawings can be obtained based on these drawings.

[0019] Figure 1 This is a flowchart of the radar signal simulation and performance testing method of the present invention.

[0020] Figure 2 This is a schematic diagram of the radar signal simulation and performance testing system of the present invention. Detailed Implementation

[0021] Exemplary embodiments will now be described more fully with reference to the accompanying drawings. However, these exemplary embodiments can be implemented in many forms and should not be construed as limited to the examples set forth herein; rather, they are provided so that the description of this disclosure will be more complete and fully convey the concept of the exemplary embodiments to those skilled in the art.

[0022] This invention provides, for example Figure 1 The radar signal simulation and performance testing method shown includes the following steps: Step 1: For the continuous motion state of the high-speed target, the simulation time axis is refined and reconstructed. The unified time step is adjusted to a time-resolved sequence that changes in conjunction with the target velocity. At the beginning of the frequency shift calculation, the phase change span between adjacent samples is compressed to establish a common time reference for the subsequent superposition of frequency shift components. The specific implementation method for this step is as follows: Based on the continuous motion of the high-speed target, the original simulation timeline is decomposed point by point, and the initially evenly distributed time nodes are re-divided into a set of non-uniformly spaced time points. The interval of each time point is determined according to the target's velocity change trend at that moment. When the target is accelerating, the interval between time points is shortened to capture the target's transient change characteristics in the high-speed range; when the target is in a constant-speed or deceleration phase, the time interval is appropriately increased to maintain the balance of the overall time distribution. The re-divided time series determines the position of each time node through interpolation operations, while maintaining the continuity of velocity changes between preceding and following nodes in the process. The time-resolved sequence formed in this way can accurately reflect the target's motion rhythm at the numerical level, making each time node correspond one-to-one with the target's velocity state, providing a high-precision time reference for subsequent frequency shift calculations.

[0023] After generating the time-resolved sequence, the phase change is calculated for each pair of adjacent time nodes to obtain the phase difference between adjacent sampling points. The calculated phase change is used to evaluate the span of the phase increment. If the span exceeds a set phase change threshold, compression is performed. During compression, the phase change is proportionally adjusted based on the velocity difference between adjacent time nodes, smoothing the phase change curve under high-speed targets by limiting the upper limit of the phase increment. When the target velocity suddenly increases, the phase change compression ratio increases, thereby slowing down the phase change rate; when the target velocity tends to stabilize, the phase change compression ratio decreases, maintaining a natural transition of phase change. The implementation of phase change compression ensures the continuity of phase changes between consecutive time nodes, avoiding abrupt phase changes caused by high-speed targets. The compressed phase data is stored as a standard phase change reference on the simulation time axis, providing stable phase input for the frequency shift calculation stage.

[0024] After obtaining the time-resolved sequence and compressed phase change data, the two are jointly correlated to establish a unified time reference. This time reference uses the time-resolved sequence as the main axis and the phase change data as the synchronization reference, forming a continuous time-phase mapping table through a node-by-node correspondence. Each time node in the mapping table corresponds to a unique reference phase value, which is generated from the phase-compressed data. In this way, frequency shift calculations are performed cumulatively starting from the same reference phase at any time node, ensuring the consistency of the phase direction of the frequency shift components generated in different time periods. To maintain the continuous stability of the time reference, the interval error between time nodes is cumulatively corrected when generating the mapping table, keeping the time difference between each node and its preceding and following nodes within a set threshold, thereby preventing time drift caused by the accumulation of floating-point calculation errors over a long period. The established time reference is used throughout the entire simulation process, providing a strict time reference for the superposition of frequency shift components and ensuring that the frequency shift direction remains consistent during continuous calculation.

[0025] After the time reference is established, the continuity of the entire simulation time axis is refined to ensure a smooth correspondence between the time-resolved sequence and the target trajectory throughout the entire process. To this end, the rate of velocity change between preceding and following nodes is calculated at each time point to determine the rationality of the time step. When a decrease in the continuity of the rate of velocity change is detected, a transition time point is automatically inserted, achieving a smooth transition of velocity changes by refining the time distribution within a local area. This process ensures the continuous evolution of the overall time-resolved sequence, eliminating abrupt breaks in time intervals between adjacent time points. Subsequently, the smoothed time-resolved sequence is re-matched with the previously established time reference to correct any phase deviations that may have been caused by the time point adjustments, ensuring that all phase data strictly correspond to the new time points. Through this readjustment process, the time-resolved sequence, phase change span, and time reference achieve complete consistency throughout the simulation space, forming a continuous and traceable time evolution path, allowing frequency shift calculations to revolve around this time reference throughout the entire process. After this process, each node on the simulation time axis possesses independent and accurate time and phase coordinates, ensuring directional continuity and unidirectional phase in the frequency shift calculation.

[0026] Through the implementation of the above steps, the entire simulation timeline is reconstructed into a time series synchronized with the target velocity changes. The time step is dynamically adjusted according to the velocity state, the phase change is compressed and smoothed, and the time reference remains consistent throughout the entire process, ensuring the continuity of the timeline globally. This technique achieves integrated constraints on time and phase at the simulation level, ensuring that frequency shift calculations under high-speed target motion are always performed within a stable time reference frame. By organically combining time-resolved sequences, phase compression, and time reference construction, the risk of directional drift caused by the accumulation of floating-point errors in traditional fixed-time-step calculations is effectively eliminated, ensuring the directional consistency and temporal continuity of frequency shift calculations at any given time.

[0027] Step 2: Under the constraint of the time-resolved sequence, add a direction consistency mark to the frequency shift component generated at each time step, and limit the range of frequency shift sign change according to the direction consistency mark during the superposition of frequency shift components. The time-resolved sequence and the direction consistency mark are used together for the spectrum evolution calculation. The specific implementation method for this step is as follows: Based on the established time-resolved sequence, a corresponding frequency shift component is generated at each time node. Each frequency shift component is determined according to the correspondence between that time node and the target's motion state, specifically including the target's velocity direction, velocity change trend, and relative motion direction with respect to the radar line-of-sight at that moment. The generated frequency shift component not only represents the frequency offset at that moment but also contains the positive or negative sign information of the frequency shift relative to the reference frequency, used to characterize the relative approach or distance between the target and the observation point. To ensure the traceability of subsequent superpositions, each frequency shift component is assigned a unique time index identifier during generation, enabling it to correspond one-to-one with specific nodes in the time-resolved sequence during subsequent superpositions. In this way, each time node possesses independent and clear frequency shift information, providing a precise input basis for the generation of subsequent direction consistency markers.

[0028] After the frequency shift components are generated at each time step, a direction consistency flag is attached to each frequency shift component. The direction consistency flag is set based on the change in the target's velocity direction between adjacent time points. When the target's velocity direction remains consistent between two consecutive time points, the direction consistency flag is defined as a continuous state, indicating that the frequency shift symbol should not change within that time interval. When a reverse change in the target's velocity direction is detected, the direction consistency flag is set to a transitional state to limit the range of frequency shift symbol changes at the next time step and prevent abrupt changes in the frequency shift symbol due to transient velocity fluctuations. The direction consistency flag is embedded in the data structure of each frequency shift component, serving as the basis for directional constraints during frequency shift superposition. By generating and attaching direction consistency flags under the constraints of a time-resolved sequence, the frequency shift data at each time step not only reflects the magnitude of the frequency shift but also carries control attributes reflecting directional stability, thereby achieving dynamic constraints on the frequency shift symbol in subsequent superposition stages.

[0029] After attaching the direction consistency marker, the frequency shift components are progressively superimposed in the order of the time-resolved sequence, with the direction consistency marker applied in real time during the superposition process to limit the range of frequency shift sign changes. In this stage, the superposition process strictly follows the sequential order of the time-resolved sequence, ensuring that the frequency shift superposition result at each moment extends from the superposition state of the previous moment. The direction consistency marker acts as a constraint, ensuring that the frequency shift sign at the current moment is only allowed to be adjusted within the range consistent with or limited by the previous moment. When the direction consistency markers at two consecutive time points are in a continuous state, the frequency shift sign remains unchanged; when the previous moment is in a transitional state, the frequency shift sign can shift slightly within a limited range, but must not cross the positive and negative sign boundaries. This constraint process is automatically executed in each superposition operation, ensuring that the frequency shift sign exhibits a unidirectional evolution characteristic throughout the superposition sequence, thereby avoiding the problem of frequency shift direction reversal caused by floating-point accumulation errors or numerical fluctuations. Through the combined effect of the time-resolved sequence and the direction consistency marker, the frequency shift superposition process achieves temporal continuity and directional stability.

[0030] After the gradual superposition of frequency shift components, a directional consistency extension is performed on the entire spectrum evolution process to ensure that the time-resolved sequence and the directional consistency marker operate synchronously in the spectral dimension. During this process, the superposition result at each time point is used to update the local state of the spectrum, and the direction of spectral evolution is determined based on the directional consistency marker of the current superposition result. When the spectral direction is detected to remain stable across consecutive time points, the spectral center extends smoothly along the predetermined direction; when the directional consistency marker is detected to transition from a continuous state to a transitional state, the spectral evolution speed automatically slows down to maintain a smooth transition and prevent the spectral center from undergoing a directional jump in a short period. As the superposition process continues, the time-resolved sequence provides a precise time scale for spectral evolution, while the directional consistency marker provides a constraint framework for the spectral direction. The two remain coupled throughout the process, ensuring the continuity and predictability of spectral evolution in both time and direction dimensions. Ultimately, the entire spectral evolution calculation, under the dual action of the time-resolved sequence and the directional consistency marker, forms a stable frequency shift evolution trajectory, providing continuous and directionally defined spectral input for subsequent performance evaluation and signal processing stages.

[0031] Through the continuous execution of the above steps, the frequency shift components generated under the constraints of the time-resolved sequence not only possess temporal continuity at the numerical level but also acquire directional constraint attributes through directional consistency marking. This allows for control over the range of frequency shift sign changes during the superposition phase based on the marking. The entire process enables the time-resolved sequence and directional consistency marking to work together in the spectral evolution calculation, ensuring that the spectral evolution maintains a single direction and smooth changes during time progression, preventing frequency shift directional drift caused by high-speed target motion or numerical errors. Through this technique, the generation, marking, superposition, and evolution of frequency shift components form a unified constraint system, achieving dynamic consistency in both time and direction dimensions. This provides a reliable temporal and spectral foundation for the stable operation of radar signal simulation in high-speed target scenarios.

[0032] Step 3: Based on the frequency shift superposition results constrained by the direction consistency mark, the center evolution trajectory of the instantaneous spectrum is continuously tracked, and the range of spectrum center position change between adjacent time moments is limited according to the time-resolved sequence to prevent the spectrum center from generating zero-frequency crossing under the influence of numerical fluctuations, thus maintaining the unidirectional evolution characteristics of velocity judgment. The specific implementation method for this step is as follows: Based on the frequency shift superposition result constrained by directional consistency marking, the instantaneous spectral distribution information at each moment is extracted to determine the initial position of the spectral center at that moment. The initial position of the spectral center is determined based on the amplitude distribution after frequency shift superposition. By weighting the amplitude changes within the superposition frequency range, the centroid of the spectral energy at that moment is obtained. To ensure that the spectral center reflects the true energy concentration area, the edge amplitudes within the frequency range need to be attenuated, giving higher amplitude regions a higher weight in spectral center localization. The spectral center at each time node is recorded as time-stamped center point data, serving as the starting reference for subsequent continuous trajectory tracking. Since the directional consistency marking in the previous stage has ensured the continuity of the frequency shift superposition direction, the extracted spectral center at this time has directional traceability, meaning that the initial position of the spectral center is consistent with the frequency shift direction in time, providing a directional basis for subsequent trajectory tracking.

[0033] After obtaining the initial position of the spectral center at each moment, these center points are continuously tracked in the time dimension. The tracking process strictly follows the node order of the time-resolved sequence, connecting the spectral center points of adjacent time nodes to form a continuous evolution trajectory. During the tracking process, to prevent jumps in the spectral center due to numerical discrepancies or floating-point errors, the change in the spectral center position between adjacent time nodes is limited. When the change in the spectral center position of two adjacent nodes exceeds the set allowable range, a smoothing constraint is applied to the change value, causing the spectral center to move along a gentle path within that time interval. In this process, the position of each newly generated spectral center references the coordinates of the center point of the previous node and maintains consistency with the previous direction, thus making the spectral center trajectory show a continuous extension trend in the time series. Through this continuous tracking method, the spectral center maintains sequential advancement under the constraints of the time-resolved sequence, forming a smooth evolution curve and avoiding directional misalignment caused by local numerical fluctuations.

[0034] After continuous tracking of the spectrum center, the range of positional change of the spectrum center at each adjacent time point is limited to ensure that the movement range of the spectrum center matches the time interval of the time-resolved sequence. Specifically, an allowable movement interval for the spectrum center is established at each time node, the upper and lower limits of which are determined by the step size of the time-resolved sequence and the target motion state. When the time interval is short, the allowable range of change of the spectrum center is correspondingly reduced; when the time interval is long, the allowable range of change is moderately widened, but always remains consistent with the trend of target velocity change. In this way, the positional change of the spectrum center in the time dimension is directly constrained by the time-resolved sequence, ensuring that the evolution of the spectrum center between different time nodes meets the physical continuity requirement. In the process of limiting the range of change of the spectrum center, the influence of the direction consistency marker also needs to be considered. When the direction consistency marker of adjacent time nodes remains continuous, the direction of change of the spectrum center is fixed in a single direction, and reverse drift is not allowed; when the direction consistency marker is in a transitional state, the spectrum center is allowed to make slight corrections within the limited range, but must not cross the zero-frequency position. Through this joint constraint based on the range limitation of the time-resolved sequence and the direction marker, the movement of the spectrum center is strictly limited to a controllable range, thereby preventing the occurrence of zero-frequency crossing.

[0035] After limiting the range of spectral center changes, the evolution trajectory of the entire spectral center undergoes continuous smoothing throughout, ensuring its unidirectional continuity as time progresses. During smoothing, the spectral center position from the previous moment is used as a reference point to constrain the current spectral center position, limiting its displacement to small increments along a predetermined direction. If a reversal trend towards zero frequency is detected, the offset direction is immediately corrected based on the directional consistency marker, allowing the spectral center to extend along its original direction again. As the time-resolved sequence advances, the spectral center points at all time points connect to form a continuous and unidirectional evolution trajectory. This trajectory does not reverse direction or cross the zero-frequency position throughout the simulation. Through this parallel approach of smoothing and constraint, the spectral center's changes along the time axis remain stable, and velocity judgment based on the directional evolution of the spectral center maintains unidirectionality, thus avoiding misjudgments of velocity direction caused by spectral jumps or zero-frequency crossings.

[0036] Through the above steps, the entire evolution process of the spectrum center achieves dual constraints of time and direction based on the frequency shift superposition result constrained by the direction consistency marker. The time-resolved sequence provides a continuous time reference for the spectrum center, ensuring that the positional change of each spectrum center corresponds one-to-one with the time node; the direction consistency marker provides directional constraints for the spectrum center, preventing reverse drift of the spectrum under the influence of numerical fluctuations. Continuous tracking of the spectrum center ensures the time consistency of the simulation process, the limitation of the variation range prevents the occurrence of zero-frequency crossing phenomena, and the smooth trajectory ensures that the velocity judgment maintains a unidirectional evolution characteristic throughout the process.

[0037] Step 4: Based on the continuous constraint of the evolution trajectory of the spectrum center, establish a velocity evolution smoothing mechanism to synchronously correlate the velocity determination result of the previous moment with the current spectrum center change result, allowing continuous changes only within the evolution range and suppressing the overall direction reversal caused by local numerical disturbances. The specific implementation method for this step is as follows: Based on the continuous constraint of the spectral center evolution trajectory, the rate of change of the spectral center at each time step is extracted as an initial reference for velocity determination. The difference between the spectral center position at each time node and the center positions of adjacent nodes represents the frequency shift trend of the target within that time interval. By comparing the spectral center positions of adjacent nodes in the time-resolved sequence, the relative change direction and magnitude at each time step can be obtained. This change direction directly corresponds to the target's motion direction, while the change magnitude is related to the relative change in the target's velocity. To ensure the continuity of velocity determination, the time interval between adjacent time nodes is recorded synchronously while extracting the spectral center change rate, ensuring that each velocity determination result maintains a one-to-one correspondence with its time reference. In this way, a velocity change dataset based on spectral center evolution is established, providing complete data support for the subsequent establishment of a smoothing mechanism.

[0038] After obtaining the rate of change of the spectral center at each time point, it is synchronously correlated with the velocity determination result of the previous time point. The synchronous correlation process uses a time-resolved sequence as a reference, ensuring that the velocity determination at the current time point is only an extension of the velocity result of the previous time point. Specifically, during the correlation process, the velocity direction of the previous time point is first used as the initial direction of the velocity evolution at the current time point. Then, this direction is fine-tuned according to the current rate of change of the spectral center, so that the velocity direction at the current time point changes continuously while maintaining consistency with the direction of the previous time point. If the current rate of change of the spectral center maintains the same direction as the previous time point, the velocity determination result continues to extend continuously; if a reverse trend is detected in the rate of change, the change is limited to an acceptable range based on the direction consistency constraint, and direction reversal is not allowed. Through this synchronous correlation method, the velocity determination process can maintain directional continuity as time progresses, preventing abrupt changes in velocity direction due to local spectral disturbances.

[0039] After completing the synchronous correlation for velocity determination, the amplitude of velocity changes is limited based on the evolution range of the time-resolved sequence. This limitation process is based on the time interval of the time-resolved sequence, limiting the allowable velocity change amplitude between adjacent time nodes to a certain range. When the time interval is short, the velocity change range is correspondingly reduced to prevent sudden velocity jumps in a short period; when the time interval is long, the velocity change range is moderately increased to match the actual acceleration or deceleration trend that the target may exhibit. Simultaneously, when limiting the amplitude, the continuous constraint of the evolution trajectory of the spectral center must be considered. The smoothness of the spectral center trajectory determines the smoothness of the velocity change. If the spectral center changes steadily within a certain time period, the velocity change should also maintain a slow transition; if the spectral center changes at a high rate within a certain time period, the velocity change amplitude can be appropriately increased, but it still needs to remain within the set range. In this way, the numerical change of the velocity determination result always remains consistent with the evolution trend of the spectral center, avoiding non-physical abrupt changes in velocity values ​​between consecutive time nodes due to local calculation errors.

[0040] Finally, under the constraints of time-resolved sequence and amplitude limitations, the entire velocity evolution process is continuously smoothed. The core of the smoothing process lies in dynamically correlating the velocity determination result at each moment with the result at the previous moment, so that the velocity change forms a monotonic evolution trend in the time dimension. In this process, the velocity result at each moment is extended from the velocity direction at the previous moment as a reference, and is slightly adjusted in conjunction with the current change in the spectrum center, so that the velocity change always advances continuously in the predetermined direction. When a local numerical disturbance is detected that may cause a trend of velocity direction reversal, the change is immediately corrected based on the direction constraint of the spectrum center, so that the velocity determination returns to the direction consistent with the evolution of the spectrum center. As time progresses, the velocity determination results at all time points form a velocity evolution curve with a consistent direction and a gradual change under the continuous smoothing constraint. This curve runs through the entire simulation time axis, reflecting the real evolution process of the target velocity. Through this smoothing mechanism, local disturbances are limited to the local time range and will not spread to the overall velocity determination process, thereby effectively suppressing the problem of overall direction reversal caused by numerical noise.

[0041] Through the implementation of the above steps, the established velocity evolution smoothing mechanism achieves synchronous correlation between the evolution trajectory of the spectrum center and the velocity determination process. This ensures that velocity changes not only remain continuous in the time dimension but also strictly align with the direction of spectrum evolution in the directional dimension. The time-resolved sequence provides a time reference and amplitude constraints throughout the process, the directional consistency marker provides constraints on the velocity direction, and the continuous trajectory of the spectrum center provides a directional reference for velocity changes. These three elements work together to form a complete velocity evolution constraint system. Through this system, the velocity determination process can maintain directional stability and smooth changes in high-speed target simulation, preventing the overall reversal of the velocity direction due to local numerical disturbances, and ensuring the continuity and reliability of velocity feature identification during radar signal simulation.

[0042] Step 5: Based on the smoothed velocity evolution results, feedback adjustments are made to the subsequent Doppler calculation process, updating the time-resolved sequence settings and the calculation method for the superposition of frequency shift components. This ensures that the entire high-speed target dynamic simulation process continues under the constraints of a unified time reference, direction consistency markers, and spectral evolution trajectory, thereby suppressing the generation of velocity direction reversal from the source and ensuring the stability and accuracy of radar performance evaluation results. The specific implementation method for this step is as follows: Based on the smoothed velocity evolution results, the time-resolved sequence on the simulation time axis is dynamically updated. The time-resolved sequence was originally determined by the target's motion state; however, after obtaining the smoothed velocity evolution results, the intervals between time nodes need to be recalculated to match the new velocity change characteristics. Specifically, under the constraint of the smoothed velocity evolution results, the time interval between each adjacent node on the time axis is recalculated. When the target velocity change slows down, the interval between adjacent time nodes is appropriately increased to reduce the numerical accumulation error caused by excessively dense time discretization; when the target velocity change accelerates, the interval between time nodes is appropriately shortened to enhance time resolution and capture the instantaneous characteristics of high-speed changes. Through this dynamic adjustment, the time-resolved sequence can be updated synchronously with the latest velocity evolution state. This redistribution of time nodes ensures temporal continuity while enabling the simulation process to adaptively adjust in the time dimension, thus providing a time reference that is more consistent with the target's motion state for subsequent Doppler shift calculations.

[0043] After updating the time-resolved sequence, the calculation method for superimposing the frequency-shift components is adjusted accordingly based on the smoothed velocity evolution results. The frequency-shift component superposition process was originally based on a fixed time-resolved sequence and directional consistency markers. However, after the time series redistributes, the superposition rhythm and weight of the frequency-shift components are corrected based on the new velocity state. During this process, the velocity change amplitude between each time node is determined based on the smoothed velocity evolution curve, and the superposition weight of the frequency-shift components is adjusted accordingly. When the target velocity change is stable, the frequency-shift components at consecutive time nodes are superimposed with high consistency to maintain directional stability of the spectrum. When the target velocity change rate increases, the superposition process introduces finer segments into the time series, making the accumulation of frequency-shift components more continuous, thereby avoiding concentrated shifts in spectral energy in high-dynamic intervals. The update of the frequency-shift component superposition is performed under the constraint of the directional consistency markers. The superposition result at each time node references the directional state of the previous node, ensuring that the frequency-shift symbol remains consistent throughout the entire time progression and does not drift in the opposite direction. In this way, the frequency-shift superposition process achieves dynamic adaptation under the guidance of the smoothed velocity results, allowing Doppler calculations to adjust synchronously with the velocity change state.

[0044] After updating the frequency-shift superposition method, the time-resolved sequence and the frequency-shift superposition result are jointly fed back to form a dynamic correction mechanism in the Doppler calculation process. In this stage, the time-resolved sequence provides the rhythm of time progression, while the frequency-shift superposition result reflects the trend of frequency evolution; the two form a closed-loop relationship through feedback. Whenever the smoothed velocity evolution result shows a change in the target's motion state, this change is synchronously transmitted to the time-resolved sequence to adjust the time node distribution and update the accumulation method of the frequency-shift superposition result, ensuring that the simulation system maintains coordinated changes in both time and frequency dimensions. Through this dynamic feedback mechanism, the time-resolved sequence and frequency-shift superposition calculation achieve continuous bidirectional linkage. When the target velocity change direction tends to stabilize, the time-resolved sequence and the frequency-shift superposition process enter an equilibrium state; when the target velocity direction shows a sudden change, the time-resolved sequence immediately shortens the time step, and the frequency-shift superposition process automatically reduces the superposition weight to suppress the cumulative effect of the sudden change, thereby ensuring the continuity and directional consistency of the spectral evolution trajectory. This feedback process runs throughout the entire Doppler calculation stage, enabling the simulation system to continuously adjust according to the latest velocity state during operation, maintaining numerical stability and unidirectional directional progression characteristics.

[0045] After completing the dynamic feedback of time-resolved sequence and frequency shift superposition, the entire high-speed target dynamic simulation process is constrained and integrated, ensuring that the time reference, direction consistency marker, and spectral evolution trajectory work synergistically. Specifically, the time reference provides a unified time scale for the entire simulation process, ensuring that calculations at each stage start from the same time reference; the direction consistency marker provides directional constraints, maintaining the continuity of the direction of frequency shift superposition and spectral evolution; and the spectral evolution trajectory provides the physical basis for dynamic feedback, ensuring that velocity changes and frequency shift evolution are numerically consistent. The synergistic effect of these three elements forms a closed dynamic control loop, ensuring that the time-resolved sequence, frequency shift superposition, and velocity evolution are updated synchronously within a unified framework in each simulation cycle. As time progresses, the smooth velocity evolution results continuously correct the time series and frequency shift superposition method, enabling the simulation process to adaptively respond to the complex motion state of the high-speed target. Through this full-process dynamic adjustment mechanism, the simulation can self-correct at each time node based on the latest velocity state, preventing the accumulation and amplification of numerical errors in continuous superposition and fundamentally suppressing the occurrence of velocity direction reversal.

[0046] Through the above steps, the entire high-speed target dynamic simulation process achieves continuous feedback and dynamic adjustment under the guidance of smoothed velocity evolution results. The time-resolved sequence is no longer a fixed discrete time set, but a time structure that is dynamically updated according to changes in target velocity; the superposition of frequency shift components is no longer accumulated based on static parameters, but is adaptively adjusted under the constraints of velocity evolution; Doppler calculation is no longer performed unidirectionally, but forms a continuously linked feedback loop in the three-dimensional space of time, direction, and spectrum. The entire process operates under a unified time reference, direction consistency marker, and spectral evolution trajectory constraints, giving the simulation process temporal continuity, directional stability, and spectral consistency. Through the dynamic feedback and continuous adjustment mechanism, the occurrence of velocity-direction reversal is suppressed at the source, ensuring the numerical stability and directional reliability of radar signal simulation results in high-speed dynamic scenarios.

[0047] Beneficial effect 1: This invention refines and reconstructs the simulation timeline and introduces a time-resolved sequence that changes in tandem with the target velocity. This ensures that the Doppler frequency shift calculation is always based on a unified and continuous time reference. Simultaneously, controlled compression of the phase change span effectively reduces the cumulative diffusion effect of floating-point approximation errors in high-speed target scenarios. During the generation and superposition of frequency shift components, the coordinated constraint of directional consistency marking and the evolution trajectory of the spectrum center ensures that the spectrum maintains a unidirectional continuous characteristic over time. This fundamentally prevents the frequency shift sign from drifting in the opposite direction due to numerical fluctuations, thus guaranteeing the stability and consistency of velocity direction determination throughout the simulation process.

[0048] Benefit 2: This invention constructs a velocity evolution smoothing mechanism based on continuous tracking of the spectrum center, and uses the velocity evolution results to adjust the subsequent Doppler calculation process, so that the time-resolved sequence setting and the frequency shift component superposition method dynamically and coordinately change with the target's motion state. This method enables the high-speed target dynamic simulation process to form a closed adaptive evolution link, limiting local numerical disturbances to a controlled range and preventing them from expanding into an overall direction reversal. This improves the numerical stability and consistency of radar signal simulation in complex multi-target high-speed scenarios, providing a more reliable and repeatable simulation basis for radar performance evaluation.

[0049] This invention provides, for example Figure 2 The radar signal simulation and performance testing system shown includes a time-resolved reconstruction module, a direction consistency constraint module, a spectrum trajectory tracking module, a velocity smoothing correlation module, and a dynamic feedback adjustment module. The time-resolved reconstruction module refines and reconstructs the simulation time axis for the continuous motion state of high-speed targets, adjusting the uniform time step into a time-resolved sequence that changes in tandem with the target velocity. The directional consistency constraint module, under the constraint of the time-resolved sequence, adds a directional consistency mark to the frequency shift components generated at each time step, and limits the range of frequency shift sign change based on the directional consistency mark during the superposition of frequency shift components. The spectrum trajectory tracking module continuously tracks the center evolution trajectory of the instantaneous spectrum based on the frequency shift superposition result constrained by the direction consistency mark, and limits the range of spectrum center position change between adjacent time moments according to the time-resolved sequence. The velocity smoothing correlation module establishes a velocity evolution smoothing mechanism based on the continuous constraint of the spectrum center evolution trajectory. It synchronously correlates the velocity determination result of the previous moment with the current spectrum center change result, and only allows continuous changes to occur within the evolution range. The dynamic feedback adjustment module performs feedback adjustments on the subsequent Doppler calculation process based on the smoothed velocity evolution results, updating the time-resolved sequence settings and the calculation method for the superposition of frequency shift components.

[0050] The radar signal simulation and performance testing method provided in this embodiment of the invention is implemented through the radar signal simulation and performance testing system described above. For details of the specific methods and processes of the radar signal simulation and performance testing system, please refer to the embodiments of the radar signal simulation and performance testing method described above, which will not be repeated here.

[0051] The foregoing has only described certain exemplary embodiments of the present invention by way of illustration. Undoubtedly, those skilled in the art can modify the described embodiments in various ways without departing from the spirit and scope of the present invention. Therefore, the foregoing drawings and descriptions are illustrative in nature and should not be construed as limiting the scope of protection of the claims of the present invention.

Claims

1. A radar signal simulation and performance testing method, characterized in that, Includes the following steps: Step 1: For the continuous motion state of the high-speed target, the simulation time axis is refined and reconstructed, and the uniform time step is adjusted to a time-resolved sequence that changes in conjunction with the target speed. Step 2: Under the constraint of the time-resolved sequence, add a direction consistency mark to the frequency shift components generated at each time step, and limit the range of frequency shift sign change according to the direction consistency mark during the superposition of frequency shift components. Step 3: Based on the frequency shift superposition results constrained by the direction consistency mark, continuously track the center evolution trajectory of the instantaneous spectrum, and limit the range of spectrum center position changes between adjacent time points according to the time-resolved sequence; Step 4: Based on the continuous constraint of the evolution trajectory of the spectrum center, establish a velocity evolution smoothing mechanism to synchronously correlate the velocity determination result of the previous moment with the current spectrum center change result, and only allow continuous changes within the evolution range. Step 5: Based on the smoothed velocity evolution results, perform feedback adjustments on the subsequent Doppler calculation process, and update the settings of the time-resolved sequence and the calculation method of the frequency shift component superposition.

2. The radar signal simulation and performance testing method according to claim 1, characterized in that, The steps for refining and reconstructing the simulation time axis for the continuous motion state of a high-speed target include: Based on the continuous motion state of the high-speed target, the original simulation time axis is decomposed point by point, and the time nodes with equal intervals are re-divided into a set of time points with non-uniform intervals. The time interval is determined according to the velocity change trend of the target at each moment, forming a time-resolved sequence. After generating the time-resolved sequence, the phase change is calculated for each pair of adjacent time nodes. The phase change is proportionally adjusted according to the velocity difference between adjacent time nodes. A compression operation is performed on the phase increment that exceeds a set threshold to obtain phase change data with a smooth transition. The time-resolved sequence is jointly correlated with the compressed phase change data to form a time-phase mapping table corresponding to each node, a unified time reference is established, and the interval error between time nodes is cumulatively corrected when generating the mapping table. Based on the establishment of the time base, the time-resolved sequence is refined and adjusted according to the rate of change of velocity between the preceding and following nodes. The continuity of the time distribution is maintained by inserting transitional time nodes, and the adjusted time-resolved sequence is re-matched with the time base.

3. The radar signal simulation and performance testing method according to claim 2, characterized in that, The steps of adding directional consistency markers to the frequency shift components generated at each time step under the constraint of a time-resolved sequence, and limiting the range of frequency shift sign changes based on the directional consistency markers during the superposition of frequency shift components, include: Based on the established time-resolved sequence, a corresponding frequency shift component is generated at each time node. Each frequency shift component is determined according to the velocity direction, velocity change trend and relative motion direction with the radar line of sight at that time node, and is assigned a unique time index identifier to achieve a one-to-one correspondence with the time node. After the frequency shift components are generated, a direction consistency mark is added to each frequency shift component. The mark state is determined according to the velocity direction change between adjacent time nodes. The frequency shift sign remains unchanged in the continuous state and the frequency shift sign change range is limited in the transition state. The frequency shift components are sequentially superimposed in the time-resolved sequence, and the variation amplitude of the frequency shift symbol is limited according to the direction consistency mark, so that the frequency shift symbol maintains the unidirectional evolution characteristic in continuous calculation; The local state of the spectrum is updated based on the superposition of frequency shift components, and the smooth extension of the spectrum evolution direction is controlled according to the directional consistency mark, so that the time-resolved sequence and the directional consistency mark are kept synchronized in the spectral dimension.

4. The radar signal simulation and performance testing method according to claim 3, characterized in that, The steps for continuously tracking the center evolution trajectory of the instantaneous spectrum based on the frequency shift superposition result constrained by the direction consistency mark and limiting the range of spectrum center position changes between adjacent time points according to the time-resolved sequence include: Based on the frequency shift superposition results constrained by the direction consistency mark, the instantaneous spectrum distribution information at each moment is extracted and the initial position of the spectrum center is determined. The energy centroid is obtained by weighted calculation of the amplitude change within the frequency range, and the spectrum center of each time node is recorded as center point data with time label. Based on the initial position of the spectrum center, the center point is continuously tracked according to the node order of the time-resolved sequence, adjacent time nodes are connected to form an evolution trajectory, and the change in the position of the spectrum center is restricted. During continuous tracking of the spectrum center, the allowable movement range of the spectrum center is established based on the time-resolved sequence, and the range of change of the spectrum center is limited by the direction consistency mark. Based on the limitation of the range of change of the spectrum center, the evolution trajectory of the spectrum center is continuously smoothed, and the position of the spectrum center at the previous moment is used as a reference point to constrain the direction of the current spectrum center position.

5. The radar signal simulation and performance testing method according to claim 4, characterized in that, During the continuous smoothing process of the evolution trajectory of the spectrum center, the direction consistency mark is used as the basis for directional constraints to correct the reverse trend of the spectrum center towards the zero frequency direction, and the spectrum center is kept to extend along the original direction according to the advancement order of the time-resolved sequence.

6. The radar signal simulation and performance testing method according to claim 4, characterized in that, The steps of establishing a velocity evolution smoothing mechanism based on the continuous constraint of the spectrum center evolution trajectory and synchronously associating the velocity determination result of the previous moment with the current spectrum center change result, allowing only continuous changes within the evolution range, include: Based on the results of continuous constraints on the evolution trajectory of the spectrum center, the rate of change of the spectrum center at each time node is extracted. The frequency shift trend is determined according to the difference in the center position between adjacent nodes, and the time interval is recorded to establish a velocity change dataset corresponding to the time reference. Based on the obtained rate of change of the center of the spectrum, it is synchronously associated with the velocity determination result of the previous moment. The velocity direction of the previous moment is used as the initial direction and the direction is finely adjusted according to the current rate of change of the center of the spectrum. The range of velocity direction change is limited under the constraint of direction consistency. The velocity variation amplitude is limited based on the evolution range of the time-resolved sequence, narrowing the variation range in short time intervals and expanding the variation range in long time intervals, while maintaining a continuous transition of velocity variation by combining the smoothness of the evolution trajectory at the center of the spectrum. The velocity evolution process is continuously smoothed under time-resolved sequence and amplitude constraint. The current velocity determination result is dynamically correlated with the result of the previous moment. The velocity change is kept to advance continuously in a single direction with the center direction of the spectrum as a constraint.

7. The radar signal simulation and performance testing method according to claim 6, characterized in that, During the velocity evolution smoothing process, the velocity direction at the previous moment is used as the extension reference and the current rate of change of the spectrum center is combined to constrain the direction. When the velocity direction is detected to deviate from the evolution direction of the spectrum center, the velocity change direction is corrected according to the direction consistency constraint.

8. The radar signal simulation and performance testing method according to claim 6, characterized in that, The steps for performing feedback adjustments and updating the time-resolved sequence settings and frequency shift component superposition calculation methods based on the smoothed velocity evolution results in subsequent Doppler calculations include: Based on the smoothed velocity evolution results, the time-resolved sequence on the simulation time axis is dynamically updated. The time interval between adjacent time nodes is recalculated according to the velocity change characteristics. The node spacing is increased when the velocity change slows down and shortened when the velocity change accelerates. Based on the completion of time-resolved sequence update, the calculation method of frequency shift component superposition is adjusted according to the smooth velocity evolution results, the frequency shift superposition ratio is corrected according to the velocity change amplitude, and the consistency of frequency shift symbol in the time progression is maintained under the constraint of direction consistency mark. By jointly feeding back the time-resolved sequence and the frequency-shift superposition result, a dynamic correction mechanism for Doppler calculation is formed, which synchronously adjusts the time node distribution and frequency-shift superposition method when the velocity state changes. Based on the completion of joint feedback, the time reference, direction consistency marker and spectrum evolution trajectory are constrained and integrated throughout the process to form a closed dynamic control loop.

9. The radar signal simulation and performance testing method according to claim 8, characterized in that, During the dynamic feedback adjustment process, the update of the time-resolved sequence and the correction of the frequency shift component superposition are performed simultaneously. The node interval of the time-resolved sequence is adjusted in real time according to the velocity evolution results, the superposition ratio of the frequency shift component is dynamically corrected according to the velocity change amplitude, and the frequency shift sign is always constrained by the direction consistency mark.

10. A radar signal simulation and performance testing system, used to implement the radar signal simulation and performance testing method according to any one of claims 1-9, characterized in that, It includes a time-resolved reconstruction module, a direction consistency constraint module, a spectrum trajectory tracking module, a velocity smoothing correlation module, and a dynamic feedback adjustment module; The time-resolved reconstruction module refines and reconstructs the simulation time axis for the continuous motion state of high-speed targets, adjusting the uniform time step into a time-resolved sequence that changes in tandem with the target velocity. The directional consistency constraint module, under the constraint of the time-resolved sequence, adds a directional consistency mark to the frequency shift components generated at each time step, and limits the range of frequency shift sign change based on the directional consistency mark during the superposition of frequency shift components. The spectrum trajectory tracking module continuously tracks the center evolution trajectory of the instantaneous spectrum based on the frequency shift superposition result constrained by the direction consistency mark, and limits the range of spectrum center position change between adjacent time moments according to the time-resolved sequence. The velocity smoothing correlation module establishes a velocity evolution smoothing mechanism based on the continuous constraint of the spectrum center evolution trajectory. It synchronously correlates the velocity determination result of the previous moment with the current spectrum center change result, and only allows continuous changes to occur within the evolution range. The dynamic feedback adjustment module performs feedback adjustments on the subsequent Doppler calculation process based on the smoothed velocity evolution results, updating the time-resolved sequence settings and the calculation method for the superposition of frequency shift components.

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