A method and system for generating wideband sinusoidal wave digital signal
Through the combination of signal decomposition and adaptive filtering algorithms, the step size parameters of the modal components are analyzed and adjusted, and the problems of insufficient generation accuracy and noise suppression of wide-band sine wave digital signal in traditional methods are solved, and high-quality signals are generated.
Patent Information
- Application Number
- CN202411621850.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-11-14
- Publication Date
- 2025-02-11
- Estimated Expiration
- 2044-11-14
AI Technical Summary
The traditional broadband sine wave digital signal generation method has shortcomings in accuracy, stability and noise suppression, resulting in poor signal distortion and denoising effects.
The signal decomposition algorithm is used to obtain the modal components and residual components of the initial wideband sine wave digital signal, analyze the interference influence factor and periodic difference of each modal component, and combine the adaptive filtering algorithm to adjust the step size parameters to improve the denoising effect. .
Through detailed frequency and time domain analysis, the step size parameters of the adaptive filtering algorithm are accurately adjusted, which significantly improves the denoising effect of wide-band sine wave digital signals and generates high-quality signals.
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Figure CN119148810B_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the technical field of digital signal generation, and in particular to a method and system for generating a broadband sinusoidal wave digital signal. Background Art
[0002] Broadband sine wave signal generators can play a role in purifying the magnetic field in space. By generating a sine wave signal of a specific frequency and intensity, it can interact with the stray magnetic field in space, thereby offsetting or weakening the impact of these adverse magnetic fields to a certain extent. For example, if there are messy magnetic fields generated by electronic equipment, power lines, etc. in space, a broadband sine wave signal generator can emit a sine wave with a frequency close to that of these stray magnetic fields but with an opposite phase, thereby offsetting and purifying the magnetic field.
[0003] Traditional wideband sinusoidal digital signal generation methods, such as direct digital frequency synthesis technology, have low accuracy and stability in generating wideband sinusoidal digital signals, and a large frequency adjustment range. The output spectrum of direct digital frequency synthesis technology has noise interference and spurious phenomena, which may cause signal distortion. In the process of filtering and denoising the generated wideband sinusoidal signal using an adaptive filtering algorithm, the selection of the step size parameter of the adaptive filtering algorithm does not take into account the degree of superposition of different interference sources in the actual digital signal generation process. This results in poor denoising effect on the wideband sinusoidal digital signal, and further leads to a low degree of suppression of spurious noise interference in the digital signal generation process. Summary of the invention
[0004] In order to solve the above technical problems, a method and system for generating a broadband sinusoidal wave digital signal are provided to solve the existing problems.
[0005] The solution to the technical problem of the present application is to provide a method and system for generating a broadband sinusoidal wave digital signal, comprising the following steps:
[0006] In a first aspect, an embodiment of the present application provides a method for generating a broadband sinusoidal wave digital signal, the method comprising the following steps:
[0007] Acquire an initial broadband sinusoidal digital signal; and adopt a signal decomposition algorithm to acquire each modal component and residual component of the initial broadband sinusoidal digital signal;
[0008] Analyze the sharpness of the peak distribution of each modal component in the corresponding frequency domain, as well as the significant differences in the peak morphology between different peaks, and determine the interference influencing factor of each modal component;
[0009] According to the difference characteristics of periodic changes between different modal components, the periodic difference of each modal component is determined; in combination with the interference influence factor, the superposition influence coefficient of each modal component is determined; the difference of the superposition influence coefficient between different modal components is analyzed, the relative difference factor of each modal component is determined, and the relative influence coefficient of each modal component is obtained;
[0010] Based on the relative influence coefficient, the step size parameter of each modal component is determined; combined with an adaptive filtering algorithm, the filtered modal component and the residual component are reconstructed to obtain a denoised broadband sinusoidal wave digital signal.
[0011] Preferably, determining the interference influence factor of each modal component includes:
[0012] Obtaining a frequency spectrum of each modal component and extracting a peak of the frequency spectrum;
[0013] Calculate the kurtosis value of each peak in the spectrum diagram of each modal component; combine the frequency, peak value and kurtosis value corresponding to each peak in the spectrum diagram of each modal component to form the characteristic vector of each peak;
[0014] Analyze the differences of the characteristic vectors between different peaks in the spectrum diagram of each modal component, and determine the prominent influence coefficient of each peak in the spectrum diagram of each modal component;
[0015] The mean value of the prominent influence coefficients of all the peaks in the spectrum diagram of each modal component is taken as the interference influence factor of each modal component.
[0016] Preferably, determining the prominent influence coefficient of each peak in the frequency spectrum of each modal component includes:
[0017] The distance between the characteristic vectors of each peak and the other peaks in the spectrum diagram of each modal component is recorded as the first distance;
[0018] The average of the first distances between each peak in the frequency spectrum of each modal component and all other peaks is used as the prominent influence coefficient of each peak in the frequency spectrum of each modal component.
[0019] Preferably, determining the period difference of each modal component includes:
[0020] Obtain the extreme value points of each modal component; arrange the time points corresponding to all the extreme value points in ascending order to form a time characteristic sequence of each modal component;
[0021] A first-order difference sequence of the time characteristic sequence is obtained; and a mean value of the first-order difference sequence is used as the period difference of each modal component.
[0022] Preferably, the superposition influence coefficient of each modal component is a fusion result of the period difference and the interference influence factor.
[0023] Preferably, determining the relative difference factor of each modal component includes:
[0024] The difference in the superimposed influence coefficient between each modal component and the other modal components is recorded as the first difference;
[0025] The average of the first differences between each modal component and all other modal components is taken as the relative difference factor of each modal component.
[0026] Preferably, the relative influence coefficient of each modal component is the product of the relative difference factor and the superposition influence coefficient.
[0027] Preferably, the step size parameter for each modal component is determined by the following calculation formula: ,in, For the The step size parameter of the modal components, For the The relative influence coefficient of each modal component is is the normalization function.
[0028] Preferably, the step of obtaining a denoised broadband sinusoidal digital signal comprises:
[0029] Each modal component and its corresponding step size parameter are used as input of the adaptive filtering algorithm to obtain the filtered modal component;
[0030] All modal components and residual components after filtering are reconstructed to obtain a denoised broadband sinusoidal digital signal.
[0031] In a second aspect, an embodiment of the present application also provides a wideband sinusoidal wave digital signal generation system, comprising a memory, a processor, and a computer program stored in the memory and running on the processor, wherein when the processor executes the computer program, the steps of any one of the above-mentioned methods for generating a wideband sinusoidal wave digital signal are implemented.
[0032] This application has at least the following beneficial effects:
[0033] In view of the different degrees of interference superposition influence at different frequencies in the process of generating a wide-band sinusoidal digital signal, the present application performs modal decomposition on the initial wide-band sinusoidal digital signal generated by a digital frequency synthesizer, analyzes the sharpness of the peak distribution of each modal component in the corresponding frequency domain, and the significant differences in the peak shapes between different peaks, and determines the interference influence factor of each modal component. The beneficial effect lies in that the significant changes in the frequency domain signal under different frequency ranges are taken into account, and the signal is analyzed in the frequency domain to reflect the degree of superposition and comprehensive influence of spurious phenomena and noise interference on the wide-band sinusoidal digital signal; according to the difference characteristics of the periodic changes between different modal components, combined with the interference influence factor, the superposition influence coefficient of each modal component is determined, and the interference influence factor between different modal components is analyzed. The difference in the superposition influence coefficients between the modal components is determined, and the relative difference factor of each modal component is determined to obtain the relative influence coefficient of each modal component. The beneficial effect is that the periodic characteristics of the signal at different frequencies are analyzed, and the interference influence degree of the wide-band sinusoidal digital signal is analyzed in the time domain and the frequency domain; based on the relative influence coefficient, the step size parameter of each modal component is determined; combined with the adaptive filtering algorithm, the filtered modal component and the residual component are reconstructed to obtain the denoised wide-band sinusoidal digital signal. The beneficial effect is that the relative difference in the superposition interference of the signal at different frequencies is considered, the step size parameter of the adaptive filtering algorithm is accurately adjusted, and the denoising effect of the adaptive filtering algorithm on the wide-band sinusoidal digital signal is improved, thereby generating a high-quality wide-band sinusoidal digital signal. BRIEF DESCRIPTION OF THE DRAWINGS
[0034] A method for generating a wideband sinusoidal wave digital signal of the present application is further described in detail below with reference to the accompanying drawings.
[0035] Figure 1 A flowchart of a method for generating a wideband sinusoidal digital signal provided in an embodiment of the present application;
[0036] Figure 2 A flowchart of the steps of a method for obtaining the interference influence factor of each modal component provided in an embodiment of the present application;
[0037] Figure 3 A flowchart of the steps of a method for obtaining the relative influence coefficient of each modal component provided in an embodiment of the present application. DETAILED DESCRIPTION
[0038] In order to make the purpose, technical solution and advantages of the present application more clear, the following is a further detailed description of a broadband sinusoidal digital signal generation method and system proposed in the present application in combination with the accompanying drawings and implementation examples. It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.
[0039] Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.
[0040] See also Figure 1 , which shows a flowchart of a method for generating a wideband sinusoidal wave digital signal provided by an embodiment of the present application, the method comprising the following steps:
[0041] Step 1: Obtain an initial broadband sinusoidal wave digital signal.
[0042] The system composition of the wideband sine wave digital signal generator includes: controller, digital frequency synthesizer, digital-to-analog converter, and filter. The controller is responsible for the control and coordination of the entire system; the digital frequency synthesizer is the core component for generating digital signals; the digital-to-analog converter can convert digital signals into analog signals; the filter is used to filter out the high-frequency noise interference and spurious phenomena in the process of generating wideband sine wave digital signals, and obtain the denoised wideband sine wave digital signal. The processing effect of the filter directly affects the quality of the generated wideband sine wave digital signal. Therefore, the digital signal generated by the digital frequency synthesizer in the wideband sine wave digital signal generator and the analog signal generated by the digital-to-analog converter are used as the initial wideband sine wave digital signal.
[0043] At this point, the initial broadband sinusoidal wave digital signal is obtained.
[0044] Step 2: Use the empirical mode decomposition algorithm to obtain each modal component and residual component of the initial broadband sinusoidal digital signal; analyze the sharpness of the peak distribution of each modal component in the corresponding frequency domain, as well as the significant differences in the peak morphology between different peaks, to determine the interference influencing factor of each modal component.
[0045] Generally, there may be various interferences in the process of generating a wideband sinusoidal wave digital signal, including noise interference, harmonic interference, electromagnetic interference and crosstalk, resulting in high-frequency noise, amplitude and phase shift in the generated wideband sinusoidal wave digital signal, resulting in poor quality of the generated wideband sinusoidal wave digital signal. In different cases, due to different interference sources, the degree of interference on the generated wideband sinusoidal wave digital signal is different. Therefore, in the process of filtering the generated digital signal through the filter in the wideband sinusoidal wave digital signal generator, the influence of the superposition of interference sources on the filtering effect in the process of generating the sinusoidal wave digital signal is ignored.
[0046] Based on the above analysis, the discrete mutation characteristics of the initial wide-band sinusoidal wave digital signal affected by environmental interference and spurious effects at different frequencies are analyzed, and the difference characteristics of the initial wide-band sinusoidal wave digital signal affected by the superposition of interference at different frequencies are compared to reflect the superposition influence characteristics of the spurious phenomenon and noise interference of the wide-band sinusoidal wave digital signal, and then the initial wide-band sinusoidal wave digital signal is accurately filtered and denoised.
[0047] Since the broadband sinusoidal digital signal is generated in different degrees by the interference sources in the environment, the broadband sinusoidal digital signal has interference characteristics in different frequency ranges. Therefore, the frequency domain characteristics of the broadband sinusoidal digital signal in different frequency ranges are analyzed, specifically:
[0048] The empirical mode decomposition algorithm is used to obtain each modal component (intrinsic mode function) and residual component of the initial broadband sinusoidal digital signal;
[0049] It should be noted that the empirical mode decomposition algorithm is a well-known technology and will not be described in detail here.
[0050] Obtaining a frequency spectrum of each modal component and extracting a peak of the frequency spectrum;
[0051] Calculate the kurtosis value of each peak in the spectrum diagram of each modal component. It should be noted that the calculation process of the kurtosis value is a well-known technology and will not be repeated here;
[0052] Preferably, in this embodiment, Fourier transform is used to obtain the frequency spectrum of each modal component, wherein Fourier transform is a well-known technology and will not be described in detail here. As other implementation methods, the implementer may adopt other methods of the prior art, such as Fast Fourier Transform (FFT), etc. This embodiment does not impose any special restrictions on this.
[0053] Preferably, in this embodiment, an automatic peak detection algorithm is used to obtain the peaks of the spectrum graph, wherein the automatic peak detection algorithm is a well-known technology and will not be described in detail here. As other implementation methods, implementers may adopt other methods of the prior art, such as the derivative method, the local extreme value extraction algorithm, etc. This embodiment does not impose any special restrictions on this.
[0054] It should be noted that the horizontal axis of the spectrum diagram is frequency, and the vertical axis is energy.
[0055] Furthermore, due to the superposition of environmental interference sources, the peak value difference and the shape difference of the peaks in a small time interval may appear in the spectrum diagram. The characteristic differences between different peaks in the spectrum diagram are analyzed, and the prominent influence coefficient is constructed to reflect the degree of influence of spurious phenomena and noise interference superposition in the process of generating broadband sinusoidal digital signals. Specifically,
[0056] The frequency, peak value and kurtosis value corresponding to each peak in the spectrum diagram of each modal component are used to form the characteristic vector of each peak;
[0057] The distance between the characteristic vectors of each peak and the other peaks in the spectrum diagram of each modal component is recorded as the first distance;
[0058] The mean of the first distances between each peak in the frequency spectrum of each modal component and all other peaks is used as the prominent influence coefficient of each peak in the frequency spectrum of each modal component;
[0059] Preferably, in this embodiment, the Manhattan distance between the characteristic vectors of each peak and the remaining peaks in the spectrum diagram of each modal component is recorded as the first distance; as other implementation methods, the implementer may adopt other methods of the prior art, such as Euclidean distance, DTW distance, etc., and this embodiment does not impose any special restrictions on this.
[0060] In this embodiment, the calculation formula of the prominent influence coefficient of each peak in the spectrum diagram of each modal component is: ,in, For the The spectrum of the modal component The prominent influence coefficient of each peak, For the The spectrum of the modal component The characteristic vector of the peak, For the The spectrum of the modal component The characteristic vector of the peak, For the The number of all peaks in the spectrum of the modal components, Indicates the calculated distance, Indicates the first distance.
[0061] It should be noted that the larger the prominent influence coefficient is, the greater the degree to which the corresponding peak is affected by the superposition of stray phenomena and noise interference at this time.
[0062] Further, based on the prominent influence coefficient of each peak, an interference influence factor is determined to reflect the degree of superposition and comprehensive influence of spurious phenomena and noise interference on the frequency range of the modal component in the process of generating the broadband sinusoidal digital signal, specifically:
[0063] The mean value of the prominent influence coefficients of all the peaks in the spectrum of each modal component is taken as the interference influence factor of each modal component;
[0064] It should be noted that the larger the interference impact factor is, the greater the degree to which the modal component is affected by the combined influence of spurious phenomena and noise interference within the corresponding frequency range.
[0065] Further, the step flow chart of the method for obtaining the interference influence factor of each modal component provided in the embodiment of the present application is as follows: Figure 2 shown.
[0066] At this point, the interference influence factor of each modal component is obtained.
[0067] Step 3, according to the difference characteristics of periodic changes between different modal components, determine the periodic difference of each modal component; determine the superposition influence coefficient of each modal component in combination with the interference influence factor; analyze the difference of superposition influence coefficients between different modal components, determine the relative difference factor of each modal component, and obtain the relative influence coefficient of each modal component.
[0068] Furthermore, the periodic characteristics of the wideband sinusoidal digital signal changing in different frequency ranges are analyzed, and the period difference is constructed to reflect the periodic changes of the wideband sinusoidal digital signal in different frequency ranges, specifically:
[0069] Obtain the extreme value points of each modal component; arrange the time points corresponding to all the extreme value points in ascending order to form a time characteristic sequence of each modal component;
[0070] Preferably, in this embodiment, the derivative method is used to obtain the extreme points of each modal component. As other implementation methods, the implementer may adopt other methods of the prior art, such as the difference method, etc. This embodiment does not impose any special restrictions on this.
[0071] A first-order difference algorithm is used to obtain a first-order difference sequence of the time characteristic sequence; the mean of the first-order difference sequence is used as the period difference of each modal component;
[0072] It should be noted that the first-order difference algorithm is a well-known technology and will not be described in detail here; secondly, the first-order difference sequence represents the difference in periodic changes of a wide-band sinusoidal digital signal within a local frequency range. If the periodic difference is larger, it means that during the generation process of the wide-band sinusoidal digital signal, the frequency range where the modal component is located is more affected by the interference superposition, resulting in a poor degree of periodic change of the digital signal within the corresponding frequency range.
[0073] Furthermore, the influence of the interference characteristics in the time domain and frequency domain on the broadband sinusoidal digital signal is analyzed to determine the superposition influence coefficient, which is:
[0074] The period difference is combined with the interference influence factor to determine the superposition influence coefficient of each modal component;
[0075] It can be understood that the specific fusion relationship can be an addition relationship, a multiplication relationship, etc. The specific relationship is determined according to the actual scenario, and this embodiment does not impose any special restrictions on this.
[0076] Preferably, in this embodiment, the product of the period difference and the interference influence factor is used as the superposition influence coefficient of each modal component.
[0077] It should be noted that by combining the time domain and frequency domain, that is, combining the interference influence factor and the period difference to analyze the interference influence, the larger the superposition influence coefficient, the greater the degree to which the wideband sinusoidal digital signal of each modal component in the corresponding frequency range is affected by the superposition interference of spurious and noise.
[0078] Furthermore, based on the superposition influence coefficient, the relative differences of the superposition influence coefficients between different modal components are analyzed to reflect the relative influence of the modal components by stray and noise interference, specifically:
[0079] The difference in the superimposed influence coefficient between each modal component and the other modal components is recorded as the first difference;
[0080] Taking the mean of the first differences between each modal component and all other modal components as the relative difference factor of each modal component;
[0081] The product of the relative difference factor and the superposition influence coefficient is used as the relative influence coefficient of each modal component;
[0082] Preferably, in this embodiment, the absolute value of the difference between the superimposed influence coefficients of each modal component and the other modal components is recorded as the first difference.
[0083] In this embodiment, the calculation formula of the relative influence coefficient of each modal component is: ,in, For the The relative influence coefficient of each modal component is For the The superposition influence coefficient of the modal components is For the The superposition influence coefficient of the modal components is is the number of all modal components.
[0084] It should be noted that the larger the first difference is, the greater the difference in the interference impact between each modal component and other modal components is, and the larger the resulting relative influence coefficient is, which means that the signal is more affected by the superimposed interference during the generation of the wide-band sinusoidal wave digital signal, and the higher the noise impact level is.
[0085] Further, the step flow chart of the method for obtaining the relative influence coefficient of each modal component provided in the embodiment of the present application is as follows: Figure 3 shown.
[0086] At this point, the relative influence coefficient of each modal component is obtained.
[0087] Step 4: determine the step size parameter of each modal component based on the relative influence coefficient; and reconstruct the filtered modal component and the residual component in combination with an adaptive filtering algorithm to obtain a denoised broadband sinusoidal digital signal.
[0088] Based on the above analysis, since there may be spurious phenomena and noise interference in the process of generating wide-band sinusoidal digital signals, the generated wide-band sinusoidal digital signals have different degrees of superimposed interference influence in different frequency ranges. If the superimposed interference influence is high, and the step size parameter set when the modal component is filtered by the adaptive filtering algorithm is large, it may cause excessive sensitivity to noise in the filtering and denoising process, and the useful information components in the signal may be misjudged as noise for removal, thereby causing signal distortion or information loss; if the superimposed interference influence is small, and the step size parameter set when the modal component is filtered by the adaptive filtering algorithm is too small, it may cause the filtering and denoising process to have poor noise denoising effect and fail to effectively suppress noise interference.
[0089] Therefore, if the relative influence coefficient is larger, the step size parameter should be set smaller when the corresponding modal component adopts the adaptive filtering algorithm; if the relative influence coefficient is smaller, the step size parameter should be set larger when the corresponding modal component adopts the adaptive filtering algorithm; therefore, according to the degree of influence of different modal components on stray and noise interference, the step size parameter of the adaptive filtering algorithm is adjusted to perform filtering and noise reduction processing on each modal component, specifically:
[0090] The relative influence coefficients of all modal components are normalized, and the difference between the value 1 and the normalized relative influence coefficient is used as the step size parameter of each modal component;
[0091] The step size parameter for each modal component is calculated as: ,in, For the The step size parameter of the modal components, For the The relative influence coefficient of each modal component is is the normalization function.
[0092] Preferably, in this embodiment, the Z-score algorithm is used for normalization processing, wherein the Z-score algorithm is a well-known technology and will not be described in detail here. As other implementation methods, the implementer can adopt other methods of the prior art, such as the maximum and minimum value normalization method, etc. This embodiment does not impose any special restrictions on this.
[0093] It should be noted that the greater the degree to which the broadband sinusoidal digital signal generated within the frequency range of the modal component is affected by superimposed interference, the smaller the step size parameter of the adaptive filtering algorithm is determined to avoid signal distortion or information loss.
[0094] Each modal component and its corresponding step size parameter are used as input of the adaptive filtering algorithm to obtain the denoised modal component;
[0095] Preferably, in this embodiment, an LMS filtering algorithm (least mean square) is used to perform filtering and denoising processing, wherein the LMS filtering algorithm is a well-known technology and will not be described in detail here.
[0096] All the denoised modal components and residual components are reconstructed to obtain a denoised broadband sinusoidal digital signal;
[0097] It should be noted that the signal is reconstructed by directly summing all the modal components and the residual components after denoising, wherein the method of reconstructing the signal after empirical mode decomposition is a well-known technology and will not be described here; secondly, the quality of the broadband sinusoidal wave digital signal after filtering and noise reduction is higher.
[0098] Based on the same inventive concept as the above method, an embodiment of the present application also provides a wideband sinusoidal wave digital signal generation system, including a memory, a processor, and a computer program stored in the memory and running on the processor, and when the processor executes the computer program, the steps of any one of the above-mentioned wideband sinusoidal wave digital signal generation methods are implemented.
[0099] It should be understood that although Figure 1 The steps in the flowchart are shown in sequence as indicated by the arrows, but these steps are not necessarily executed in the order indicated by the arrows. Unless otherwise specified in this document, there is no strict order restriction for the execution of these steps, and these steps can be executed in other orders. Moreover, Figure 1At least part of the steps may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily executed at the same time, but can be executed at different times. The execution order of these sub-steps or stages is not necessarily sequential, but can be executed in turn or alternately with other steps or at least part of the sub-steps or stages of other steps.
[0100] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0101] The above-mentioned embodiments only express several implementation methods of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the present application. It should be pointed out that, for those of ordinary skill in the art, several modifications and improvements can be made without departing from the concept of the present application. Therefore, any simple modification, equivalent change and modification made to the above embodiments according to the technical essence of the present application without departing from the content of the technical solution of the present application, shall fall within the protection scope of the technical solution of the present application.
Claims
1. A method for generating a broadband sinusoidal digital signal, characterized in that: The method comprises the following steps: Acquire an initial broadband sinusoidal digital signal; and adopt a signal decomposition algorithm to acquire each modal component and residual component of the initial broadband sinusoidal digital signal; Analyze the sharpness of the peak distribution of each modal component in the corresponding frequency domain, as well as the significant differences in the peak morphology between different peaks, and determine the interference influencing factor of each modal component; According to the difference characteristics of periodic changes between different modal components, the periodic difference of each modal component is determined; in combination with the interference influence factor, the superposition influence coefficient of each modal component is determined; the difference of the superposition influence coefficient between different modal components is analyzed, the relative difference factor of each modal component is determined, and the relative influence coefficient of each modal component is obtained; Based on the relative influence coefficient, the step size parameter of each modal component is determined; combined with an adaptive filtering algorithm, the filtered modal component and the residual component are reconstructed to obtain a denoised broadband sinusoidal wave digital signal.
2. A method for generating a broadband sinusoidal digital signal as claimed in claim 1, characterized in that: The determining of the interference influence factor of each modal component includes: Obtaining a frequency spectrum of each modal component and extracting a peak of the frequency spectrum; Calculate the kurtosis value of each peak in the spectrum diagram of each modal component; combine the frequency, peak value and kurtosis value corresponding to each peak in the spectrum diagram of each modal component to form the characteristic vector of each peak; Analyze the differences of the characteristic vectors between different peaks in the spectrum diagram of each modal component, and determine the prominent influence coefficient of each peak in the spectrum diagram of each modal component; The mean value of the prominent influence coefficients of all the peaks in the spectrum diagram of each modal component is taken as the interference influence factor of each modal component.
3. A method for generating a broadband sinusoidal digital signal as claimed in claim 2, characterized in that: The determining of the prominent influence coefficient of each peak in the frequency spectrum of each modal component includes: The distance between the characteristic vectors of each peak and the other peaks in the spectrum diagram of each modal component is recorded as the first distance; The average of the first distances between each peak in the frequency spectrum of each modal component and all other peaks is used as the prominent influence coefficient of each peak in the frequency spectrum of each modal component.
4. A method for generating a broadband sinusoidal digital signal as claimed in claim 1, characterized in that: The step of determining the period difference of each modal component comprises: Obtain the extreme value points of each modal component; arrange the time points corresponding to all the extreme value points in ascending order to form a time characteristic sequence of each modal component; A first-order difference sequence of the time characteristic sequence is obtained; and a mean value of the first-order difference sequence is used as the period difference of each modal component.
5. A method for generating a broadband sinusoidal digital signal as claimed in claim 1, characterized in that: The superposition influence coefficient of each modal component is a fusion result of the period difference and the interference influence factor.
6. A method for generating a wideband sinusoidal digital signal as claimed in claim 1, characterized in that: The determining of the relative difference factor of each modal component comprises: The difference in the superimposed influence coefficient between each modal component and the other modal components is recorded as the first difference; The average of the first differences between each modal component and all other modal components is taken as the relative difference factor of each modal component.
7. A method for generating a broadband sinusoidal digital signal as claimed in claim 1, characterized in that: The relative influence coefficient of each modal component is the product of the relative difference factor and the superposition influence coefficient.
8. A method for generating a broadband sinusoidal digital signal as claimed in claim 1, characterized in that: The step size parameter of each modal component is determined by the following calculation formula: ,in, For the The step size parameter of the modal components, For the The relative influence coefficient of each modal component is is the normalization function.
9. A method for generating a broadband sinusoidal digital signal as claimed in claim 1, characterized in that: The step of obtaining a denoised broadband sinusoidal digital signal comprises: Each modal component and its corresponding step size parameter are used as input of the adaptive filtering algorithm to obtain the filtered modal component; All modal components and residual components after filtering are reconstructed to obtain a denoised broadband sinusoidal digital signal.
10. A broadband sinusoidal digital signal generation system, comprising a memory, a processor, and a computer program stored in the memory and running on the processor, characterized in that: When the processor executes the computer program, the steps of a method for generating a wideband sinusoidal wave digital signal as described in any one of claims 1 to 9 are implemented.
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