Radio frequency signal processing system based on single-bit frequency measurement receiver

Abstract

The invention discloses a radio frequency signal processing system based on a single-bit frequency measurement receiver, and particularly relates to the field of frequency measurement analysis, which comprises a rhythm analysis module, a disturbance mapping module, a spectral line completion module and a path output module, the rhythm analysis module is used for converting zero cross position data in a symbol polarity sequence output by the single-bit frequency measurement receiver into a symbol flipping fragment interval and extracting a rhythm disturbance change index so as to construct a continuous trend characteristic reflecting a frequency change trend; and the disturbance mapping module is used for constructing the continuous trend characteristics into a rhythm disturbance characteristic track, and generating pseudo-cycle path data and a fitting frequency trend track. A rhythm disturbance track based on a symbol polarity sequence is constructed, and a frequency interpolation reconstruction mechanism driven by a rhythm structure is introduced at a frequency spectrum breakpoint, so that the problems that Fourier analysis fails in a frequency transition section and a continuous frequency path cannot be output under a single-bit sampling condition are solved.

Description

Technical Field

[0001] The present invention relates to the technical field of frequency measurement analysis, and more specifically, to a radio frequency signal processing system based on a single-bit frequency measurement receiver. Background Art

[0002] In existing frequency measurement devices and spectrum analysis systems, Fourier analysis is generally used to extract frequencies from time-domain sampled data, relying on phase continuity and amplitude structure to establish a stable spectral response curve to support continuous tracking of time-varying frequencies such as frequency modulation communication signals and frequency hopping radar signals; However, in recent years, to meet the application requirements of low power consumption, small size, and minimalist hardware architecture, single-bit frequency measurement receivers have been widely introduced. This type of receiving structure only performs 1-bit quantization on the input radio frequency signal, that is, records its symbol polarity instead of the complete waveform, thus completely discarding the amplitude and fine phase information; Since Fourier analysis highly depends on the continuous structure of the time-domain signal, single-bit data will present an approximately random alternating zero-crossing pattern in the frequency mutation region (such as frequency hopping points or non-linear frequency modulation slope breakpoints), and then generate an unresolvable high-frequency interference background in the spectrum analysis result, resulting in the inability of the frequency measurement device to form effective spectral lines in this section; Therefore, in frequency measurement devices using single-bit receiving structures, the existing Fourier analysis mechanism generally fails in the frequency transition section, ultimately forming an irreparable breakpoint defect in the spectrum, which constitutes a key limitation to the continuous measurement ability of the frequency path. Summary of the Invention

[0003] To overcome the above-mentioned defects of the prior art, an embodiment of the present invention provides a radio frequency signal processing system based on a single-bit frequency measurement receiver, by constructing a rhythm perturbation trajectory based on the symbol polarity sequence, and introducing a frequency interpolation reconstruction mechanism driven by the rhythm structure at the spectral breakpoint to solve the problem that Fourier analysis fails in the frequency transition section under single-bit sampling conditions and cannot output a continuous frequency path.

[0004] To achieve the above object, the present invention provides the following technical solution: A radio frequency signal processing system based on a single-bit frequency measurement receiver, including a rhythm analysis module, a perturbation mapping module, a spectral line completion module, and a path output module; The rhythm analysis module is used to convert the zero-crossing position data in the symbol polarity sequence output by the single-bit frequency measurement receiver into symbol flip segment intervals, and extract rhythm perturbation change indicators to construct a continuous trend feature reflecting the frequency change trend; The perturbation mapping module is used to construct continuous trend features into a rhythm perturbation feature trajectory, and generate pseudo-period path data and a fitted frequency trend trajectory, so as to establish a pseudo-phase tensor structure reflecting the frequency transition behavior and output the rhythm path continuity as the basis for the effectiveness of spectrum fitting; The spectral line completion module is used to receive the Fourier spectrum response map and the rhythm path continuity, identify the spectral breakpoints and extract the fitting interval boundaries, perform frequency interpolation reconstruction and multi-window consistency verification, and embed the reconstruction result into the fitted frequency trend trajectory to generate a frequency continuous output sequence; The path output module is used to calibrate the boundaries of the stable segment and the reconstructed segment for the frequency continuous output sequence, generate a structured frequency path identification sequence, and output the data as the final frequency measurement result.

[0005] In a preferred embodiment, the rhythm analysis module is used to take the symbol polarity sequence output by the single-bit frequency measurement receiver as input data, perform a sliding window scanning operation to extract the zero-crossing position data within a continuous time period, construct a zero-crossing segment set from the zero-crossing position data in chronological order, and perform segment boundary identification on the zero-crossing position data to divide the symbol flip segment interval; Perform density statistical operations on the symbol flip segment interval to obtain the symbol flip density sequence within each time window as the rhythm basic index, and perform adjacent window difference calculation on the rhythm basic index to generate the symbol flip density change sequence as the rhythm perturbation change index; Perform a sliding window clustering operation on the rhythm perturbation change index to extract the continuous trend features of the symbol flip density change rate within a local interval.

[0006] In a preferred embodiment, the perturbation mapping module is used to construct a rhythm perturbation feature trajectory by superimposing continuous trend features in a time window manner as the symbol evolution expression within the frequency transition segment; perform a quasi-period estimation operation on the rhythm perturbation feature trajectory to generate a symbol flip pseudo-period sequence as the pseudo-period path data; Calculate the error difference of the pseudo-period path data against the steady-state symbol flip density benchmark to form a fitted frequency trend trajectory, jointly project the fitted frequency trend trajectory and the rhythm perturbation feature trajectory into a three-dimensional frequency fitting space, construct a pseudo-phase tensor structure, and perform a structure stability evaluation operation on the pseudo-phase tensor structure to output the rhythm path continuity as the effectiveness criterion for the fitted frequency form.

[0007] In a preferred embodiment, the spectral line completion module is used to structurally align the rhythm path continuity obtained from the fitted frequency form with the original Fourier spectrum response map, and identify the fitting interval boundaries corresponding to the spectral breakpoints; the Fourier spectrum response map is the frequency domain energy distribution result obtained by processing the symbol polarity sequence through window Fourier transform; Taking the fitting interval boundary as the reconstruction constraint condition, perform the frequency interpolation reconstruction operation on the spectrum breakpoint segment, output the breakpoint spectrum fitting segment data, and perform multi-window overlapping consistency verification on the breakpoint spectrum fitting segment data and the original symbol flip density sequence to determine the rhythm structure matching situation; Embed the breakpoint spectrum fitting segment data that passes the consistency verification into the original fitting frequency trend trajectory to form a complete frequency continuous output sequence.

[0008] In a preferred embodiment, the path output module is used to perform the boundary calibration operation of the stable segment and the reconstruction segment on the frequency continuous output sequence, output the structured frequency path identification sequence, and output the structured frequency path identification sequence as the final frequency measurement result data, and mark the rhythm disturbance compensation source corresponding to each jump segment.

[0009] In a preferred embodiment, in the rhythm analysis module, define the zero-crossing position data as ; Define the zero-crossing segment set as ; ; ; Symbol flip segment interval set Is expressed as: ; For the symbol flip density Calculate: ; Where: ; Rhythm disturbance change index Is expressed as: ; ; Rhythm disturbance change intensity function Is expressed as: ; The continuous trend feature sequence obtained after sliding window clustering Is expressed as: ; Where the symbol polarity sequence includes And , The value of the symbol polarity sequence is ±1, and ±1 represents the high level and the low level respectively; Represents the value of the symbol polarity sequence before the Time, which is the left instantaneous state of the symbol polarity sequence; Represents the symbol polarity sequence at The value after the moment is the right instantaneous state of the symbol polarity sequence; is the time variable; is the set of discrete sampling moments in the continuous observation time domain; zero-crossing position data denotes all the time points that satisfy , representing the set of times when symbol flips occur; zero-crossing segment set denotes within , the set of time series of zero-crossing points extracted within a window with a sliding window width of ; is the th zero-crossing time point within; is the next zero-crossing time point after ; is the lower limit of the time interval threshold; is the central time point of the sliding time window; denotes a new set formed by screening out elements that meet specific conditions from a certain set; denotes is one of ; means ; denotes the central time point of the zero-crossing; and respectively denote the sampling points in the adjacent front and rear time neighborhoods; denotes screening out the time points that meet the condition from the set ; denotes the zero-crossing time points located within the current symbol flip segment interval; where is the segment interval between consecutive zero-crossings; denotes the duration of the time interval ; denotes the measure of the number of symbol flip events occurring in ; symbol flip density denotes the symbol flip density index in the current ; rhythm perturbation change index denotes the difference in flip density between adjacent windows; is the first derivative of the flip density; is the second derivative of the flip density; rhythm perturbation change intensity function is used to reflect the local oscillation and intensity of the density change rate; continuous trend feature sequence obtained after sliding window clustering is used to describe the evolution path of rhythm perturbation; Indicates the value of the symbol flip density index calculated at the position after the center of the sliding window slides forward by the width of a sliding window ; Indicates performing a sliding window trend clustering operation on the values of the rhythm perturbation change intensity function under all time windows and outputting continuous time periods with the same perturbation change characteristics.

[0010] In a preferred embodiment, the perturbation mapping module further includes superimposing the continuous trend feature sequence to construct a rhythm perturbation feature trajectory , and extracting local perturbation paths through a dynamic rhythm projection method; constructing a periodic induction matrix for the rhythm perturbation feature trajectory and constructing a symbol flip pseudo-period sequence through the rhythm gauge distance between trajectory sections ; combining with the steady-state symbol flip density benchmark , performing a structural residual analysis on the pseudo-period path data to generate a fitted frequency trend trajectory ; and are jointly embedded into the frequency-perturbation coupling mapping space to construct a third-order pseudo-phase tensor based on the perturbation gauge tensor graph ; performing a perturbation trajectory path consistency convolution in the tensor domain and defining a rhythm path continuity index through the convergence behavior of the perturbation frequency surface ; ; ; ; ; ; ; ; ; where the rhythm perturbation feature trajectory represents the tensorial form composed of the rhythm change rate and acceleration within ; is the sliding window width; is the time window weighting function; is the continuous trend feature function; is the rhythm perturbation interval; represents the index offset used for time translation of the rhythm perturbation trajectory in gauge calculation; is the perturbation gauge difference; is the time point ​The characteristics of the rhythm perturbation at is the starting time point of is the starting time point of the period induction matrix; represents at the pseudo-periodic path value at represents traversing all ; represents at the rhythm perturbation eigenvalue at is the local sliding window half-width; is the value of the pseudo-periodic path at time ; is the steady-state symbol flip density reference trajectory; is the acceleration of the pseudo-periodic path; is the acceleration of the steady-state trajectory; is the rhythm gauge norm; is the gradient of the perturbation trajectory in the time dimension; is the frequency trend change rate; is the first derivative of the frequency trend; is the local sliding window tensor guiding factor, and the local sliding window tensor guiding factor is used to adjust the tensor contribution range; is the tensor integration window; is the second derivative of the tensor in the time dimension; is the gradient of the tensor with respect to the perturbation intensity; represents the integral in the frequency change rate dimension; is the tensor multiplication; is the convolution operation.

[0011] In a preferred embodiment, in the spectral line completion module, define as the set of break point regions to which belongs; define as the fitted value after the spectral break point reconstruction; define as the structural residual integral between the spectral fitting result and the symbol flip density at ; ; ; ; where is the original Fourier spectral response diagram; is the frequency domain frequency variable; is the curvature mutation threshold; represents is a frequency point of the original Fourier spectrum response diagram; is the spectrum integration variable; is the frequency domain reconstruction kernel function; represents the rhythm path continuity index the mapping result in the frequency domain; is the symbol flip density; represents the set of multi-window time periods mapped to; represents the fitted frequency trend trajectory in the perturbation mapping module ; represents the complete frequency output sequence after including the reconstructed spectral segment; is the time point the corresponding set of frequency domain indices; is the indicator function; threshold represents the error threshold for rhythm structure consistency verification; is the embedding kernel function from spectrum to time trajectory, and the embedding kernel function from spectrum to time trajectory is used to embed into the time point .

[0012] In a preferred embodiment, in the path output module, define as the status identification value. A status identification value of 0 represents a stable segment, and a status identification value of 1 represents a reconstructed segment; ; wherein represents the set of time points labeled as stable segments; represents the set of time points labeled as reconstructed segments; represents the final structured frequency path identification sequence, and the final structured frequency path identification sequence consists of and an ordered binary tuple composed of

[0013] The technical effects and advantages of the present invention: By using the rhythm perturbation trajectory constructed based on the symbol polarity sequence to replace the amplitude and phase structure of the traditional waveform signal, it realizes the recognition of the change trend in the frequency transition region under the condition of single-bit frequency measurement reception, solves the problem that Fourier analysis cannot resolve the spectrum breakpoint under low-bit rate input, and fundamentally restores the continuous solvability of the frequency path; By constructing the rhythm perturbation characteristic trajectory and introducing the pseudo-period fitting and perturbation gauge difference mechanism, the frequency trajectory can still reconstruct the trend based on the structural rhythm when there are nonlinear perturbations or frequency hopping mutations, effectively alleviating the problem of the decline in frequency recognition ability in the phase loss scenario; By designing a third-order pseudo-phase tensor structure, the frequency trend derivative, perturbation gradient, and rhythm continuity are mapped into a unified tensor space, enhancing the system's ability to structurally understand complex frequency evolution patterns and providing stable spatial expression support for subsequent completion and noise filtering. By performing interpolation reconstruction under rhythm constraints on the breakpoint interval in the Fourier spectrum response diagram and combining a consistency verification mechanism for symbol flip density, the reconstructed spectral segment is logically consistent with the symbol source, improving the criterion rigor for breakpoint spectral line completion and the signal reconstruction reliability. By structurally identifying the frequency paths of the reconstructed segment and the stable segment, clearly marking which sections in the spectral path are derived from rhythm compensation, the visualization and transparency of the frequency measurement result are achieved, making the system output result structurally interpretable. Brief Description of the Drawings

[0014] Figure 1 It is a schematic diagram of the system module of the present invention. Detailed Embodiments

[0015] Next, the technical solutions in the embodiments of the present invention will be clearly and completely described in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

[0016] Referring to the attached Figure 1 description, a radio frequency signal processing system based on a single-bit frequency measurement receiver according to an embodiment of the present invention includes a rhythm analysis module, a perturbation mapping module, a spectral line completion module, and a path output module; The rhythm analysis module is used to convert the zero-crossing position data in the symbol polarity sequence output by the single-bit frequency measurement receiver into symbol flip segment intervals and extract rhythm perturbation change indicators to construct continuous trend features reflecting frequency change trends. The perturbation mapping module is used to construct the continuous trend features into rhythm perturbation feature trajectories, generate pseudo-periodic path data and fitted frequency trend trajectories, establish a pseudo-phase tensor structure reflecting frequency transition behaviors, and output the rhythm path continuity as the validity basis for spectral fitting. The spectral line completion module is used to receive the Fourier spectrum response diagram and the rhythm path continuity, identify spectral breakpoints, extract the fitting interval boundaries, perform frequency interpolation reconstruction and multi-window consistency verification, and embed the reconstruction results into the fitted frequency trend trajectory to generate a frequency continuous output sequence. The path output module is used to demarcate the boundaries of the stable segment and the reconstructed segment for the frequency continuous output sequence, generate a structured frequency path identification sequence, and output the data as the final frequency measurement result.

[0017] The rhythm analysis module is used to take the symbol polarity sequence output by the single-bit frequency measurement receiver as input data, perform a sliding window scanning operation to extract the zero-crossing position data within a continuous time period, construct a zero-crossing segment set from the zero-crossing position data in chronological order, and perform segment boundary recognition on the zero-crossing position data to divide the symbol flip segment interval; Perform a density statistics operation on the symbol flip segment interval to obtain the symbol flip density sequence within each time window as the rhythm basic index, and perform adjacent window difference calculation on the rhythm basic index to generate the symbol flip density change sequence as the rhythm perturbation change index; Perform a sliding window clustering operation on the rhythm perturbation change index to extract the continuous trend characteristics of the symbol flip density change rate within a local interval.

[0018] The perturbation mapping module is used to construct a rhythm perturbation characteristic trajectory in a time window superposition manner from the continuous trend characteristics as the symbol evolution expression within the frequency transition segment; perform a quasi-period estimation operation on the rhythm perturbation characteristic trajectory to generate the symbol flip pseudo-period sequence as the pseudo-period path data; Perform an error difference calculation on the pseudo-period path data against the steady-state symbol flip density benchmark to form a fitted frequency trend trajectory, jointly project the fitted frequency trend trajectory and the rhythm perturbation characteristic trajectory into a three-dimensional frequency fitting space, construct a pseudo-phase tensor structure, and perform a structure stability evaluation operation on the pseudo-phase tensor structure to output the rhythm path continuity as the validity criterion for the fitted frequency form.

[0019] The spectral line completion module is used to structurally align the rhythm path continuity obtained from the fitted frequency form with the original Fourier spectrum response diagram and identify the fitting interval boundary corresponding to the spectral breakpoint; the Fourier spectrum response diagram is the frequency domain energy distribution result obtained by processing the symbol polarity sequence through window Fourier transform; Take the fitting interval boundary as the reconstruction constraint condition, perform a frequency interpolation reconstruction operation on the spectral breakpoint segment to output the breakpoint spectral fitting segment data, and perform a multi-window overlapping consistency verification on the breakpoint spectral fitting segment data and the original symbol flip density sequence to judge the rhythm structure matching situation; Embed the breakpoint spectral fitting segment data that passes the consistency verification into the original fitted frequency trend trajectory to form a complete frequency continuous output sequence.

[0020] The path output module is used to perform a boundary calibration operation on the frequency continuous output sequence for the stable segment and the reconstructed segment, output a structured frequency path identification sequence, and use the structured frequency path identification sequence as the final frequency measurement result output data, marking the rhythm perturbation compensation source corresponding to each jump segment to improve the resolvability of the frequency measurement process in the transition state.

[0021] It should be noted that in the formula structure involved in this solution, the dimensionless term can serve as a proportional or structural adjustment factor. When combined with a quantity with a unit, it only plays a role in numerical scaling and does not introduce a new physical dimension. Therefore, it will not change or confuse the overall unit system of the expression. The combination of such a "dimensionless term and a term with a unit" can be understood as a composite structure expression commonly used in mathematical and physical modeling, which conforms to the principle of dimensional consistency and has a clear physical interpretation basis. Secondly, in the formula structure of this solution, if there are multiple variable terms with different physical units, including but not limited to time, mass, or energy variables, their combined appearance is to express the co-modeling relationship of multiple physical mechanisms. Each variable can form a unified structure through function mapping, ratio combination, or normalization adjustment, with clear units and clear meanings. The overall expression conforms to the principle of dimensional consistency and the common norms of engineering modeling. In this solution, if constants, weights, adjustment factors, threshold parameters, proportional coefficients, etc. are designed, they all belong to adjustable control parameters for different application environments. Their values depend on the target device configuration, data input characteristics, and performance optimization goals, and converge and are set within a reasonable range through model verification, performance constraints, or engineering calibration during the implementation stage. Although these parameters do not have a preset unique value, they have a clear adjustment logic and calculation path, which belongs to a deterministic setting process in engineering implementation. The purpose of such setting is to ensure that the solution has both general adaptability and reproducibility and operability, without affecting its technical clarity and feasibility. In the rhythm analysis module, define the zero-crossing position data as ; Define the set of zero-crossing segments as ; ; ; The set of symbol flip segment intervals is expressed as: ; For the symbol flip density calculate: ; where: ; The rhythm perturbation change index is expressed as: ; ; The rhythm perturbation change intensity function is expressed as: ; Continuous trend feature sequence obtained after sliding window clustering It is expressed as: ; Among them, the symbol polarity sequence includes and , and the values of the symbol polarity sequence are ±1, and ±1 represent high level and low level respectively; represents the value of the symbol polarity sequence before the moment of , which is the left instantaneous state of the symbol polarity sequence; represents the value of the symbol polarity sequence after the moment of , which is the right instantaneous state of the symbol polarity sequence; is the time variable; is the set of discrete sampling moments in the continuous observation time domain; zero-crossing position data represents the set of all time points that satisfy , indicating the time when the symbol flip occurs; zero-crossing segment set represents the set of time series of zero-crossing points extracted within the window with a sliding window width of within ; is the th zero-crossing time point within ; is the next zero-crossing time point after ; is the lower limit of the time interval threshold, used to judge whether an effective symbol flip segment is formed between two adjacent zero-crossing points; is the central time point of the sliding time window, in seconds; represents a new set composed of elements selected from a certain set that meet specific conditions; represents is one of ; The meaning of is represents the central time point of the zero-crossing; and respectively represent the sampling points in the adjacent front and rear minimum time neighborhoods, used to judge whether a symbol flip occurs at this central point; represents the time points selected from the set that meet the condition of ; represents the zero-crossing time point located within the current symbol flip segment interval, from the set , while is the rd in the chronological order of this setelements, so is the actual zero-crossing time point that is inspected one by one during the integration process, and logically can be understood as: ; where is the segment interval between consecutive zero-crossings. The segment interval between consecutive zero-crossings is the smallest interval during which the symbol polarity remains unchanged, with the unit of seconds; represents the duration of the time interval in seconds; represents that in a measure of the number of symbol flip events that occur, modeled using the unit impulse function; symbol flip density represents the symbol flip density index in the current . The symbol flip density index represents the flip intensity per unit time; rhythm perturbation change index represents the difference in flip density between adjacent windows, and the difference in flip density between adjacent windows is used to capture rhythm mutations; is the first derivative of the flip density, and the first derivative of the flip density represents the density change rate; is the second derivative of the flip density, and the second derivative of the flip density represents the change trend of the change rate; rhythm perturbation change intensity function is used to reflect the local oscillation and intensity of the density change rate; the continuous trend feature sequence obtained after sliding window clustering is used to describe the evolution path of rhythm perturbation; represents the value of the symbol flip density index calculated at the position after the sliding window center slides forward by a sliding window width from ; represents performing a sliding window trend clustering operation on the values of the rhythm perturbation change intensity function under all time windows, and outputting continuous time periods with the same perturbation change characteristics for constructing the continuous trend feature sequence .

[0022] The perturbation mapping module also includes superimposing the continuous trend feature sequence to construct the rhythm perturbation feature trajectory , and extracting the local perturbation path through the dynamic rhythm projection method; constructing a periodic induction matrix for the rhythm perturbation feature trajectory , and constructing a symbol flip pseudo-periodic sequence through the rhythm gauge distance between trajectory segments; combining the steady-state symbol flip density benchmark , performing a structural residual analysis on the pseudo-periodic path data to generate a fitted frequency trend trajectory ; and Jointly embed the frequency-perturbation coupling mapping space and construct a third-order pseudo-phase tensor based on the perturbed gauge tensor graph ; Perform a perturbed trajectory path consistency convolution in the tensor domain and define a rhythm path continuity index through the convergence behavior of the perturbed frequency surface ; ; ; ; ; ; ; ; ; where the rhythm perturbation characteristic trajectory represents the tensorial form formed by the rhythm change rate and acceleration within ; is the central time point of the sliding time window, in seconds; is the sliding window width; is the time window weighting function, which is used to regulate the perturbation contribution at the time point ; is the continuous trend characteristic function, representing the sequence of the symbol flip density change rate; is the first derivative of the continuous trend, representing the instantaneous rate of the rhythm perturbation change; is the second derivative of the continuous trend, representing the change trend of the rhythm perturbation rate; is the rhythm perturbation interval; represents the index offset used for time translation of the rhythm perturbation trajectory in the gauge calculation; is the perturbed gauge difference; is the rhythm perturbation characteristic at the time point ; is 's starting time point; is 's starting time point; is the period induction matrix; represents the pseudo-period path value at ; represents traversing all ; represents at the rhythm perturbation eigenvalue; is the local sliding window half-width, in seconds; is the pseudo-period path at time Value; Is the steady-state symbol flip density reference trajectory, originating from the non-transition segment; Is the acceleration of the pseudo-periodic path; Is the acceleration of the steady-state trajectory; Is the rhythm gauge norm, and the rhythm gauge norm represents the perturbation trajectory at Gradient intensity; Is the gradient of the perturbation trajectory in the time dimension; Represents the two-norm; Is the frequency trend change rate, and the frequency trend change rate represents the change speed of the frequency fitting trajectory in the time dimension; Is the first derivative of the frequency trend; Is the local sliding window tensor guiding factor, and the local sliding window tensor guiding factor is used to adjust the tensor contribution range; Rhythm path continuity index Is used to measure the consistency of the tensor structure in the frequency transition state; Is the tensor integration window; Is the second derivative of the tensor in the time dimension, representing the time structure change trend; Is the gradient of the tensor with respect to the perturbation intensity; Represents the integration in the frequency change rate dimension; Is the tensor multiplication; Is the convolution operation.

[0023] In the spectral line completion module, define As The set of breakpoint regions to which it belongs; Define Is the fitted value after the spectral breakpoint reconstruction; Define Is the structural residual integral between the spectral fitting result and the symbol flip density at ; ; ; ; ; Where Is the original Fourier spectrum response diagram, and in the above formula, the original Fourier spectrum response diagram represents the frequency domain energy distribution at ; Is the frequency domain frequency variable, with the unit of Hz; Is the curvature mutation threshold, and the curvature mutation threshold is used to identify the spectral breakpoint; Represents Is a frequency point of the original Fourier spectrum response diagram; Is the spectral integration variable, and the spectral integration variable represents the frequency points in the reconstruction neighborhood; is the frequency-domain reconstruction kernel function, which is used to weight the neighborhood spectrum reconstruction; represents the rhythm path continuity index The mapping result in the frequency domain; is the symbol flip density; represents The set of multi-window time periods mapped to; is the central time point of the sliding time window, in seconds; represents the fitted frequency trend trajectory in the perturbation mapping module , that is, the fitted frequency trend trajectory The expression input from the perturbation mapping module to the spectral line completion module; represents the complete frequency output sequence including the reconstructed spectral segment; is the time point The corresponding set of frequency-domain indices, the time point The corresponding set of frequency-domain indices is used to map the spectral embedding range; is the indicator function, and the indicator function in the above formula means that if is less than the threshold , then the value is 1; the threshold represents the error threshold for rhythm structure consistency verification; is the embedding kernel function from spectrum to time trajectory, and the embedding kernel function from spectrum to time trajectory is used to embed into the time point .

[0024] In the path output module, define as the status identification value. The status identification value of 0 represents the stable segment, and the status identification value of 1 represents the reconstructed segment; ; where represents the set of time points labeled as stable segments; represents the set of time points labeled as reconstructed segments; represents the final structured frequency path identification sequence, and the final structured frequency path identification sequence consists of and The ordered binary tuple composed of.

[0025] It should be noted as a whole that this solution is aimed at the problem of spectral breakpoint defects caused by the inability of existing frequency measurement devices to effectively perform Fourier spectrum analysis after introducing a single-bit reception structure; since the single-bit frequency measurement receiver only retains the symbol polarity information, its output does not contain amplitude and continuous phase, making the traditional Fourier analysis that relies on phase continuity and waveform details unable to work stably in the frequency transition section, and key information such as frequency jump points is likely to be lost or broken in the spectrogram, resulting in the inability to form a continuous frequency trajectory, thus seriously restricting the accuracy and integrity of high-sensitivity radio frequency signal analysis; To overcome the above problems, this solution designs a multi-stage processing mechanism for reconstructing the spectral structure based on the characteristics of the symbol polarity sequence; its primary logic is to reconstruct a "traceable frequency evolution path" from the "low-dimensional information that cannot be solved by the spectrum"; specifically, first, through the rhythm analysis module, the temporal distribution of symbol flipping behaviors in the symbol polarity sequence is converted into a flipping density sequence in a continuous time window, and further, the trend characteristics of the flipping density changing with time are extracted; the trend information extracted here does not rely on amplitude, but is based on the flipping rhythm of the symbols to construct an intermediate expression that can reflect the dynamic characteristics of frequency changes; On this basis, the perturbation mapping module reconstructs the rhythm coherence interrupted by the perturbed structure during the frequency transition by constructing a rhythm perturbation characteristic trajectory and performing pseudo-period fitting; the periodic induction matrix mechanism introduced in this process is not based on the classical periodic function modeling, but judges the pseudo-periodic behavior through the structural similarity between rhythm trajectories, and then forms a frequency trend expression that does not depend on the original frequency value but can reflect the trajectory coherence; by constructing a third-order tensor structure including perturbation velocity, perturbation gradient, and trend derivative, a three-dimensional coupling modeling of space-frequency-perturbation in the frequency transition section can be formed, and the generated rhythm path continuity index represents the coherence performance degree of this structure in the time domain; To achieve the complete complement of the spectral structure, the spectral line complement module receives the aforementioned rhythm path continuity and maps it to the frequency domain to align with the original Fourier spectrum response diagram; the original spectrum is the frequency domain energy result obtained by window Fourier transform based on the polarity sequence. Although it is limited by data quantization loss itself, it still has available frequency response in the non-transition section; therefore, by performing frequency interpolation reconstruction on the frequency range corresponding to the rhythm structure breakpoint and verifying the consistency between the reconstruction result and the original symbol flipping density sequence, the effective complement of the spectral breakpoint section can be achieved while ensuring the logical rationality of the complemented area in terms of rhythm; the resulting frequency continuous output sequence includes both the original information retention area and the reconstruction compensation section; Based on the above-mentioned frequency continuous output sequence, the path output module further performs the boundary calibration operation of the jump segment and the stable segment to generate a structured frequency path identification sequence; in this process, the scheme does not use the magnitude of the frequency value as the identification basis, but based on its formation method (original or reconstructed), the frequency state of each time period is labeled as a stable segment or a rhythm compensation segment; this structured representation finally forms the frequency measurement result data that can be directly read by the downstream system, with complete pathability, source traceability and structural transparency, and is applicable to scenarios with high requirements for both continuity and restoration in tasks such as frequency hopping signal detection and broadband signal spectrum analysis.

[0026] The above are only the preferred embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.

Claims

1. A radio frequency signal processing system based on a single-bit frequency measurement receiver, comprising a rhythm analysis module, a perturbation mapping module, a spectral line completion module and a path output module, characterized in that: The rhythm analysis module is used to convert the zero-crossing position data in the symbol polarity sequence output by the single-bit frequency measurement receiver into symbol flip segment intervals, and extract the rhythm perturbation change index to construct a continuous trend feature reflecting the frequency change trend; The perturbation mapping module is used to construct the continuous trend feature into a rhythm perturbation feature trajectory, and generate pseudo-period path data and a fitted frequency trend trajectory to establish a pseudo-phase tensor structure reflecting the frequency transition behavior and output the rhythm path continuity as the validity basis for spectral fitting; The spectral line completion module is used to receive the Fourier spectrum response map and the rhythm path continuity, identify the spectral breakpoints and extract the fitting interval boundaries, perform frequency interpolation reconstruction and multi-window consistency verification, embed the reconstruction result into the fitted frequency trend trajectory, and generate a frequency continuous output sequence; The path output module is used to calibrate the boundaries of the stable segment and the reconstructed segment of the frequency continuous output sequence, generate a structured frequency path identification sequence, and output the data as the final frequency measurement result.

2. The radio frequency signal processing system based on a single-bit frequency measurement receiver according to claim 1, characterized in that: The rhythm analysis module is used to take the symbol polarity sequence output by the single-bit frequency measurement receiver as input data, perform a sliding window scanning operation to extract the zero-crossing position data within a continuous time period, construct a zero-crossing segment set from the zero-crossing position data in chronological order, and perform segment boundary recognition on the zero-crossing position data to divide the symbol flip segment intervals; Perform a density statistical operation on the symbol flip segment intervals to obtain a symbol flip density sequence within each time window as the rhythm basic index, and perform adjacent window difference calculation on the rhythm basic index to generate a symbol flip density change sequence as the rhythm perturbation change index; Perform a sliding window clustering operation on the rhythm perturbation change index to extract the continuous trend feature of the symbol flip density change rate within a local interval.

3. The radio frequency signal processing system based on a single-bit frequency measurement receiver according to claim 2, characterized in that: The perturbation mapping module is used to construct a rhythm perturbation feature trajectory by superimposing the continuous trend features in time windows as the symbol evolution expression within the frequency transition segment; perform a quasi-period estimation operation on the rhythm perturbation feature trajectory to generate a symbol flip pseudo-period sequence as the pseudo-period path data; Perform an error difference calculation on the pseudo-period path data with reference to the steady-state symbol flip density benchmark to form a fitted frequency trend trajectory, project the fitted frequency trend trajectory and the rhythm perturbation feature trajectory jointly into a three-dimensional frequency fitting space, construct a pseudo-phase tensor structure, and perform a structure stability evaluation operation on the pseudo-phase tensor structure to output the rhythm path continuity as the validity criterion for the fitted frequency form.

4. The radio frequency signal processing system based on a single-bit frequency measurement receiver according to claim 3, characterized in that: The spectral line completion module is used to structurally align the rhythm path continuity obtained from the fitting frequency morphology with the original Fourier spectrum response diagram, and identify the fitting interval boundaries corresponding to the spectral breakpoints; the Fourier spectrum response diagram is the frequency-domain energy distribution result obtained by processing the symbol polarity sequence through window Fourier transform; Taking the fitting interval boundaries as reconstruction constraint conditions, perform frequency interpolation reconstruction operations on the spectral breakpoint segments, output the data of the breakpoint spectral fitting segments, and perform multi-window overlapping consistency verification on the data of the breakpoint spectral fitting segments and the original symbol flip density sequence to judge the rhythm structure matching situation; Embed the data of the breakpoint spectral fitting segments that pass the consistency verification into the original fitting frequency trend trajectory to form a complete frequency continuous output sequence.

5. The radio frequency signal processing system based on a single-bit frequency measurement receiver according to claim 4, wherein: The path output module is used to perform boundary calibration operations on the stable segments and the reconstructed segments of the frequency continuous output sequence, output a structured frequency path identification sequence, and use the structured frequency path identification sequence as the final frequency measurement result output data to mark the rhythm disturbance compensation sources corresponding to each jump segment.

6. The radio frequency signal processing system based on a single-bit frequency measurement receiver according to claim 5, wherein: In the rhythm analysis module, define the zero-crossing position data as ; Define the zero-crossing segment set as ; ； ； Set of symbol inversion segment intervals Expressed as: ； Symbol flip density Calculate: ； Wherein: ； Rhythm perturbation change index Expressed as: ； ； Rhythm perturbation change intensity function It is expressed as: ； Continuous trend feature sequence obtained after sliding window clustering It is expressed as: ； where the symbol polarity sequence includes and , and the values of the symbol polarity sequence are ±1, where ±1 represent high level and low level respectively; represents the value of the symbol polarity sequence before the moment of , which is the left instantaneous state of the symbol polarity sequence; represents the value of the symbol polarity sequence after the moment of , which is the right instantaneous state of the symbol polarity sequence; is the time variable; is the set of discrete sampling moments in the continuous observation time domain; the zero-crossing position data represents the set of all time points that satisfy , indicating the time when the symbol flip occurs; the zero-crossing segment set represents the set of time series of zero-crossing points extracted within a window with a sliding window width of within ; is the -th zero-crossing time point within ; is the next zero-crossing time point after ; is the lower limit of the time interval threshold; is the central time point of the sliding time window; represents a new set composed of elements that meet specific conditions selected from a certain set; represents is one of ; means ; represents the central time point of the zero-crossing; and respectively represent the sampling points in the adjacent front and rear time neighborhoods; represents the time points selected from the set that meet the condition of ; represents the zero-crossing time point located within the current symbol flip segment interval; wherein is the segment interval between consecutive zero crossings; represents the time interval duration; represents the measure of the number of symbol flip events occurring in ; symbol flip density represents the symbol flip density index in the current ; rhythm perturbation change index represents the difference in flip density between adjacent windows; is the first derivative of the flip density; is the second derivative of the flip density; rhythm perturbation change intensity function is used to reflect the local oscillation and intensity of the density change rate; the continuous trend feature sequence obtained after sliding window clustering is used to describe the evolution path of rhythm perturbation; represents the value of the symbol flip density index calculated at the position after the sliding window center slides forward by one sliding window width from ; ; represents performing a sliding window trend clustering operation on the values of the rhythm perturbation change intensity function under all time windows, and outputting continuous time periods with the same perturbation change characteristics.

7. The radio frequency signal processing system based on a single-bit frequency measurement receiver according to claim 6, wherein: The perturbation mapping module further includes a continuous trend feature sequence superimposed to construct a rhythm perturbation feature trajectory , and a local perturbation path is extracted by a dynamic rhythm projection method; for the rhythm perturbation feature trajectory a periodic induction matrix is constructed, and a symbol flip pseudo-periodic sequence is constructed by the rhythm gauge distance between trajectory sections ; combined with a steady-state symbol flip density benchmark , perform structural residual analysis on the pseudo-periodic path data to generate a fitted frequency trend trajectory ; the and are jointly embedded into a frequency-perturbation coupling mapping space to construct a third-order pseudo-phase tensor based on a perturbation gauge tensor graph ; perform perturbation trajectory path consistency convolution in the tensor domain, and define a rhythm path continuity index through the convergence behavior of the perturbation frequency surface ; ； ； ； ； ； ； ； ； Among them, the rhythm perturbation characteristic trajectory represents the tensorial form composed of the rhythm change rate and acceleration within is the sliding window width; is the time window weighting function; is the continuous trend characteristic function; is the rhythm perturbation interval; represents the index offset used for time translation of the rhythm perturbation trajectory in the gauge calculation; is the perturbation gauge difference; is the time point at which the rhythm perturbation characteristic is located; is the starting time point of; is the starting time point of; is the period induction matrix; represents the pseudo-periodic path value at; represents traversing all ; represents the rhythm perturbation characteristic value at; is the local sliding window half-width; is the value of the pseudo-periodic path at time ; is the steady-state symbol flip density reference trajectory; is the acceleration of the pseudo-periodic path; is the acceleration of the steady-state trajectory; is the rhythm gauge norm; is the gradient of the perturbation trajectory in the time dimension; is the frequency trend change rate; is the first derivative of the frequency trend; is the local sliding window tensor guiding factor, and the local sliding window tensor guiding factor is used to adjust the tensor contribution range; is the tensor integration window; is the second derivative of the tensor in the time dimension; is the gradient of the tensor with respect to the perturbation intensity; represents the integral in the frequency change rate dimension; is the tensor multiplication; is the convolution operation.

8. The radio frequency signal processing system based on a single-bit frequency measurement receiver according to claim 7, wherein: In the spectral line completion module, define as the set of breakpoint regions to which it belongs; define as the fitted value after spectral breakpoint reconstruction; define as the structural residual integral between the spectral fitting result and the symbol flip density at . ； ； ； ； wherein is the original Fourier spectrum response diagram; is the frequency domain frequency variable; is the curvature mutation threshold; denotes is a frequency point of the original Fourier spectrum response diagram; is the spectrum integration variable; is the frequency domain reconstruction kernel function; denotes the rhythm path continuity index the mapping result in the frequency domain; is the symbol flip density; denotes the set of multi-window time periods mapped to; denotes the fitting frequency trend trajectory in the perturbation mapping module ; denotes the complete frequency output sequence after including the reconstructed spectral segment; is the time point the corresponding frequency domain index set; is the indicator function; threshold denotes the error threshold for rhythm structure consistency verification; is the embedding kernel function from spectrum to time trajectory, and the embedding kernel function from spectrum to time trajectory is used to embed into the time point .

9. The radio frequency signal processing system based on a single-bit frequency measurement receiver according to claim 8, wherein: In the path output module, define as the status identification value. A status identification value of 0 indicates a stable segment, and a status identification value of 1 indicates a reconstruction segment; ； Among them represents the set of time points marked as stable segments; represents the set of time points marked as reconstruction segments; represents the final structured frequency path identification sequence, and the final structured frequency path identification sequence consists of and an ordered pair composed of.

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