Window function signal modulation method and device for sidelobe suppression

Abstract

The invention relates to the field of signal processing, and discloses a trapezoidal window signal modulation method for sidelobe suppression, which comprises the following steps: generating an analog signal and an original window function according to a real signal to be modulated, and obtaining a plurality of modulation functions for sidelobe suppression based on the original window function; a plurality of modulation functions are used for modulating analog signals one by one, signal distribution of the modulated analog signals is evaluated by setting a target function, and an optimal modulation function is selected according to an evaluation result; and modulating a real signal through the optimal modulation function to obtain a modulation signal with optimized signal distribution. The invention further discloses a window function signal modulation device for sidelobe suppression. The window function signal modulation device comprises a modulation function generation module, an optimal modulation function selection module and a signal modulation module. According to the invention, the parameters of the modulation function can be flexibly adjusted according to the signal distribution of different signals so as to realize the optimal modulation result, and the sidelobe intensity influencing the signal modulation is inhibited while the energy concentration ratio of the main lobe is ensured.

Description

Technical Field

[0001] The invention relates to the field of signal processing, and in particular to a window function signal modulation method and device for sidelobe suppression. Background Art

[0002] Traditional signal enhancement methods for improving signal quality and readability, such as linear filtering, mean filtering, and wavelet transform, are usually designed based on the signal distribution amplitude and often cannot achieve ideal enhancement effects in low signal-to-noise ratio environments. In addition, existing nonlinear processing technologies, such as adaptive filtering, have certain limitations in computational complexity and real-time performance.

[0003] With the development of digital signal processing technology, signal distribution shaping technology has gradually become an important means to improve signal quality; by analyzing the signal distribution of the signal, useful signals and other noises can be more accurately identified, so as to perform targeted enhancement. As a basic technology of signal processing, signal distribution analysis usually converts the signal into the frequency domain through Fourier transform to extract its frequency characteristics. However, traditional signal distribution analysis methods mainly rely on fixed-shape filters such as Gaussian windows and Hamming windows, which cannot flexibly respond to various signal characteristics, resulting in excessive suppression or enhancement of some frequency components. These limitations are particularly evident in the processing of signals such as voice communication and medical imaging, which often lead to signal distortion, information loss and poor user experience. Therefore, there is an urgent need for a signal modulation technology that can effectively improve signal quality and reduce noise interference.

[0004] The patent document with the publication number CN 109871575 A discloses a design method for an electromagnetic interference receiver window function based on time domain FFT, which uses inequality constraints on the Hanning window and the target optimization window to make the main lobe of the target optimization window close to the Hanning window, and the optimized target window function satisfies the CISPR 16 spectrum template and the passband constraint. The stopband minimum is obtained in the sidelobe area of ​​the target optimization window, and finally the stopband of equal height is obtained, so that the sidelobes are evenly distributed in the entire area to obtain the lowest average sidelobes. The prior art designs specific window functions and optimization methods for electromagnetic interference receiver signals and the spectrum templates specified by CISPR, which lack flexibility and adaptability in different signal processing processes.

[0005] The patent application with the publication number CN 115494017 A discloses a method for apodization of infrared spectrum of a quasi-trapezoidal window, including: obtaining the sidelobe peak level and the sidelobe asymptotic decay rate of multiple classical window functions, selecting the RV window function as the mother function in combination with the signal-to-noise ratio requirement of spectral restoration; processing the mother function by time-domain self-convolution to construct a self-convolution RV window function with suitable sidelobe performance; introducing adjustable parameters and rectangular window functions to improve the self-convolution RV window function to obtain a quasi-trapezoidal window function; using the quasi-trapezoidal window function to suppress the sidelobe, adjusting the proportional coefficient and the convolution order therein to perform apodization. The prior art uses time-domain convolution operation and improves the RV window function, which depends on the conditions of a specific spectral signal, and cannot adjust the form of the window function according to the signal characteristics, which reduces the flexibility of signal modulation and cannot adapt to the modulation requirements of different signals. Summary of the invention

[0006] The present invention aims to provide a window function signal modulation method and device for sidelobe suppression, design a suitable modulation function based on the signal spectrum characteristics, suppress the sidelobe intensity of the signal to reduce the impact of noise, improve the flexibility of signal modulation and enhance the clarity of the signal with lower computing resource consumption.

[0007] A trapezoidal window signal modulation method for sidelobe suppression, comprising:

[0008] Step 1: Generate an analog signal and an original window function according to a real signal to be modulated, and obtain multiple modulation functions for sidelobe suppression based on the original window function;

[0009] Step 2: Use multiple modulation functions to modulate the analog signal one by one, evaluate the signal distribution of the modulated analog signal by setting the objective function, and select the best modulation function according to the evaluation result;

[0010] Step 3: Modulate the real signal by the optimal modulation function to obtain a modulated signal with optimized signal distribution.

[0011] Furthermore, in step 1, generating an analog signal and an original window function according to the real signal to be modulated includes:

[0012] Generate an analog signal based on the signal value and coordinates of the real signal to be modulated, and generate an original window function according to the length and amplitude of the analog signal, wherein the original window function represents a window function containing at least one adjustable parameter, including a trapezoidal window function or a Kaiser window function;

[0013] The real signal to be modulated is a time domain signal or a frequency domain signal.

[0014] in:

[0015] (1) When the trapezoidal window function is used as the original window function, the positions of the end points of the trapezoidal window function are adjusted to adjust the parameters, thereby obtaining a plurality of modulation functions, including:

[0016] The adjustable parameters of the trapezoidal window function include the length of the transition bands on both sides and the length of the maximum amplitude horizontal line segment;

[0017] Along the horizontal line segment with the maximum amplitude of the original window function, take any point on the horizontal line segment as the first initial point, start from the first initial point and sequentially take points with the first step length, and the point taking range does not include the two endpoints of the horizontal line segment, so as to obtain the first point set;

[0018] A vertical line segment along the flat part of one side of the original window function is used, with any point on the vertical line segment as the second initial point, and points are sequentially selected from the second initial point with a second step length, and the point selection range does not include the endpoint where the vertical line segment intersects with the maximum amplitude horizontal line segment, so as to obtain a second point set;

[0019] The points in the first point set and the second point set are arranged and combined one by one to obtain multiple groups of point data; the connecting line segment between the two points in each group of point data is used as the transition band on one side of the trapezoidal window function, and no transition band is set on the other side, so as to determine the maximum amplitude horizontal line segment length and obtain multiple modulation functions.

[0020] (2) When the Kaiser window function is used as the original window function, a Gaussian function is introduced and the center position coordinates of the Gaussian function are adjusted to adjust the parameters, thereby obtaining multiple modulation functions, including:

[0021] Based on the original window function, a Gaussian function is added as a disturbance term to fine-tune the original window function, where the adjustable parameter is the center position coordinate of the Gaussian function;

[0022] A group of center position coordinates is obtained by random selection, which includes several center position coordinates, and the range of random selection is determined according to the window length of the original window function; all center position coordinates in a group are substituted into the Gaussian function respectively, and the obtained multiple Gaussian functions are multiplied with the original window function to obtain a modulation function;

[0023] Repeat random selection and multiplication multiple times to obtain multiple modulation functions.

[0024] Furthermore, in step 2, multiple modulation functions are used to modulate the analog signal one by one, the signal distribution of the modulated analog signal is evaluated by setting an objective function, and the best modulation function is selected according to the evaluation result, including:

[0025] Multiple modulation functions are used to modulate analog signals one by one, and the signal distribution of the analog signal in another domain can be obtained by Fourier transforming the analog signal. The peak difference or peak ratio of the main lobe and the first-order side lobe of the signal distribution is used as the objective function to evaluate the spectrum of the modulated analog signal, and the objective function of the analog signal based on the signal distribution after each modulation is recorded respectively;

[0026] The maximum value among the multiple objective functions is taken as an evaluation result, and according to the evaluation result, the modulation function corresponding to the maximum value is taken as the optimal modulation function.

[0027] When the objective function is the peak difference between the main lobe and the first-order side lobe, the objective function is expressed as Objective = |P M -P FS |, where P M represents the peak value of the main lobe, P FS Indicates the peak value of the primary sidelobe; multiple objective functions are normalized, sorted, and the maximum value among the multiple objective functions is found as the evaluation result.

[0028] When the objective function is the peak ratio of the main lobe to the first-order side lobe, the objective function is expressed as Where P M represents the peak value of the main lobe, P FS represents the peak value of the primary sidelobe; the maximum values ​​of multiple objective functions are obtained by using a particle swarm optimization algorithm as the evaluation result, wherein the number of iterations of the particle swarm optimization algorithm is the same as the number of modulation functions.

[0029] The present invention also provides a window function signal modulation device for sidelobe suppression, comprising:

[0030] A modulation function generation module, which is used to generate an analog signal and an original window function according to a real signal to be modulated, and obtain multiple modulation functions for sidelobe suppression based on the original window function;

[0031] An optimal modulation function selection module is used to use multiple modulation functions to modulate the analog signal one by one, evaluate the signal distribution of the modulated analog signal by setting an objective function, and select the optimal modulation function according to the evaluation result;

[0032] The signal modulation module is used to modulate the real signal through the optimal modulation function to obtain a modulated signal with optimized signal distribution.

[0033] A computing device includes a memory and one or more processors, wherein the memory stores executable code, and when the one or more processors execute the executable code, they are used to implement a window function signal modulation method for sidelobe suppression described in the present invention.

[0034] A computer-readable storage medium, characterized in that a program is stored thereon, and when the program is executed by a processor, a window function signal modulation method for sidelobe suppression described in the present invention is implemented.

[0035] The present invention selects the corresponding window function through the original signal, and can flexibly adjust the parameters of the modulation function according to the signal distribution of different signals to achieve the best modulation result. While ensuring the main lobe energy concentration, it suppresses the side lobe intensity that affects the signal modulation, improves the freedom of signal modulation, and solves the signal quality problems generated in signal processing. It is suitable for a variety of different types of one-dimensional signal processing scenarios. BRIEF DESCRIPTION OF THE DRAWINGS

[0036] Figure 1 A flow chart of a window function signal modulation method for sidelobe suppression in the present invention;

[0037] Figure 2 This is the analog signal modulation process in Embodiment 1 of the present invention; wherein, Figure 2 (a) is a sinusoidal analog signal generated based on the optical coherence tomography (OCT) signal. Figure 2 (b) is the trapezoidal window function generated based on the sinusoidal analog signal. Figure 2 (c) is the modulated sinusoidal analog signal, Figure 2 (d) is the signal distribution change of the sinusoidal analog signal before and after modulation;

[0038] Figure 3 The figure is a schematic diagram of the structure of a window function signal modulation device for sidelobe suppression in the present invention. DETAILED DESCRIPTION

[0039] In order to make the purpose, technical solution and beneficial effects of the present invention clearer, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not used to limit the present invention.

[0040] Embodiment 1:

[0041] like Figure 1 As shown, a window function signal modulation method for sidelobe suppression includes:

[0042] S1: Generate an analog signal and an original window function according to a real signal to be modulated, and obtain multiple modulation functions for sidelobe suppression based on the original window function;

[0043] Based on the signal value y and coordinate x of the real OCT signal to be modulated, a Figure 2The sinusoidal analog signal y1(x) shown in (a) is generated according to the length and amplitude of the sinusoidal analog signal y1(x). Figure 2 The trapezoidal window function φ(x) shown in (b) is used as the original window function, and the trapezoidal window function φ(x) can be expressed as:

[0044]

[0045] Where x represents the coordinate of the sampling point, φ(x) represents the value of the trapezoidal window function when the coordinate is x, l represents the length of the bottom of the trapezoidal window, and L represents the length of the transition zone on the right side of the trapezoidal window;

[0046] By adjusting the positions of the end points M and N of the trapezoidal window function φ(x) to adjust the parameters, multiple modulation functions are obtained, including:

[0047] The adjustable parameters of the trapezoidal window function φ(x) include the length of the transition bands on both sides and the length of the maximum amplitude horizontal line segment. In this embodiment, the length of the right transition band MN and the length of the maximum amplitude horizontal line segment AM are adjusted;

[0048] Along the horizontal line segment AC with the maximum amplitude of the trapezoidal window function φ(x), take any point on the horizontal line segment AC as the first initial point, and start from the first initial point with a first step length t1 to sequentially take m points, and the point range is (p, p+l) in the horizontal direction, excluding the two endpoints A and C, so as to obtain the first point set M'={M1,M2,...,M i ,...,M m};

[0049] Along the vertical line segment BC of the flat part of one side of the trapezoidal window function φ(x), take the endpoint B of the vertical line segment as the second initial point, and take n points in sequence from the second initial point with a second step length t2, and the point range is [0,q) in the vertical direction, excluding the endpoint C, so as to obtain the second point set N'={N1,N2,...,N j ,...,N n};

[0050] Arrange and combine the points in the first point set and the second point set one by one to obtain multiple groups of point data; connect the line segment M between the two points in each group of point data i N j As the transition band on the right side of the trapezoidal window function, no transition band is set on the left side, so as to determine the length of the maximum amplitude horizontal line segment and obtain multiple modulation functions.

[0051] S2: using multiple modulation functions to modulate the analog signal one by one, evaluating the signal distribution of the modulated analog signal by setting an objective function, and selecting the best modulation function according to the evaluation result;

[0052] Multiple modulation functions are used to modulate the sinusoidal analog signal y1(x) one by one, and we get Figure 2 (c) The modulated sinusoidal analog signal y1'(x) shown;

[0053] The OCT signal to be modulated, the sinusoidal analog signal y1(x) before modulation, and the sinusoidal analog signal y1'(x) after modulation are all frequency domain signals, and the signal distribution of these signals in the spatial domain can be obtained after Fourier transformation;

[0054] The signal distribution of the sinusoidal analog signal includes a main lobe and a side lobe, wherein the side lobe closest to the main lobe is a first-order side lobe, and the objective function is set to be the peak difference between the main lobe and the first-order side lobe, and the objective function is expressed as Objective = |P M -P FS |, where P M represents the peak value of the main lobe, P FS Represents the peak value of the primary sidelobe; respectively record the objective function of the analog signal after each modulation based on the signal distribution, normalize multiple objective functions, and find the maximum value of multiple objective functions after sorting as the evaluation result. According to the evaluation result, the modulation function corresponding to the maximum value is used as the optimal modulation function, while ensuring the high energy concentration of the main lobe, the influence of the primary sidelobe is minimized.

[0055] The sinusoidal analog signal y1(x) before modulation is as follows Figure 2 As shown by the orange curve in (d), the signal distribution of the modulated sinusoidal analog signal y1'(x) is as follows Figure 2 As shown in the blue curve in (d); it can be seen that after modulation by the method of this embodiment, the obtained signal distribution shows obvious optimization characteristics, especially the sidelobe level is effectively suppressed, indicating that the modulation method of this embodiment can greatly eliminate the interference signal, thereby providing more ideal conditions for subsequent signal processing and analysis.

[0056] S3: Modulate the real signal by the optimal modulation function to obtain a modulated signal with optimized signal distribution.

[0057] like Figure 3 As shown, a window function signal modulation device 0 for sidelobe suppression includes:

[0058] A modulation function generating module 1, which is used to generate an analog signal and an original window function according to a real signal to be modulated, and obtain multiple modulation functions for sidelobe suppression based on the original window function;

[0059] The best modulation function selection module 2 is used to use multiple modulation functions to modulate the analog signal one by one, evaluate the signal distribution of the modulated analog signal by setting the target function, and select the best modulation function according to the evaluation result;

[0060] The signal modulation module 3 is used to modulate the real signal through the optimal modulation function to obtain a modulated signal with optimized signal distribution.

[0061] Embodiment 2:

[0062] like Figure 1 As shown, a window function signal modulation method for sidelobe suppression includes:

[0063] S1: Generate an analog signal and an original window function according to a real signal to be modulated, and obtain multiple modulation functions for sidelobe suppression based on the original window function;

[0064] An analog signal y2(x) is generated based on the signal value y and coordinate x of the real signal to be modulated, and a Kaiser window function ψ(x) is generated as the original window function according to the length and amplitude of the analog signal y2(x), which is expressed as:

[0065]

[0066] Wherein, x represents the coordinate of the sampling point, I0 is the zero-order modified Bessel function, β represents the shape parameter of the Kaiser window, and in this embodiment, β=10;

[0067] A Gaussian function is introduced as a disturbance term in the Kaiser window function ψ(x), which is expressed as:

[0068]

[0069] in, represents the modulation function added with the Gaussian function, μ represents the center position coordinate of the Gaussian function, and σ represents the standard deviation of the Gaussian function.

[0070] Adjust the center position coordinate μ of the Gaussian function to adjust the parameters, and obtain a set of center position coordinates by random selection, which includes 10 center position coordinates. The randomly selected range is determined according to the window length l of the Kaiser window function. In this embodiment, the randomly selected range is Substitute all the center position coordinates in a group into the Gaussian function respectively, multiply the obtained multiple Gaussian functions with the original window function to obtain a modulation function;

[0071] Repeat random selection and multiplication multiple times to obtain multiple modulation functions.

[0072] S2: using multiple modulation functions to modulate the analog signal one by one, evaluating the signal distribution of the modulated analog signal by setting an objective function, and selecting the best modulation function according to the evaluation result;

[0073] Using multiple modulation functions to modulate the analog signal y2(x) one by one to obtain a modulated analog signal y'2(x);

[0074] The modulated analog signal y'2(x) is subjected to Fourier transform to obtain the signal distribution of the modulated analog signal, which includes a main lobe and a side lobe, wherein the side lobe closest to the main lobe is a first-order side lobe, and the objective function is set to the peak value ratio of the main lobe and the first-order side lobe. The objective function is expressed as Where P M represents the peak value of the main lobe, P FS Represents the peak value of the primary sidelobe; and the maximum values ​​of multiple objective functions are obtained by a particle swarm optimization algorithm, wherein the number of iterations of the particle swarm optimization algorithm is the same as the number of modulation functions, and the number of iterations in this embodiment is 1000 times.

[0075] S3: Modulate the real signal by the optimal modulation function to obtain a modulated signal with optimized signal distribution.

[0076] like Figure 3 As shown, a window function signal modulation device 0 for sidelobe suppression includes:

[0077] A modulation function generating module 1, which is used to generate an analog signal and an original window function according to a real signal to be modulated, and obtain multiple modulation functions for sidelobe suppression based on the original window function;

[0078] The best modulation function selection module 2 is used to use multiple modulation functions to modulate the analog signal one by one, evaluate the signal distribution of the modulated analog signal by setting the target function, and select the best modulation function according to the evaluation result;

[0079] The signal modulation module 3 modulates the real signal through the optimal modulation function to obtain a modulated signal with optimized signal distribution.

[0080] The embodiments of the present invention can effectively reduce the energy of side lobes by applying different modulation functions to signals, especially suppressing the first-order side lobes, which helps to reduce interference in signal processing; by selecting the optimal modulation function, it can ensure that the energy of the main lobe is more concentrated, thereby improving the resolution and clarity of the signal; the optimized signal has better signal distribution and can better adapt to specific application scenarios.

[0081] The preferred embodiments of the embodiments of the present application are described above with reference to the accompanying drawings, but the scope of the rights of the embodiments of the present application is not limited thereto. It should be understood that the method of the present application is also applicable to other related fields that require sidelobe suppression, such as radar and communication. Any modifications, equivalent substitutions, and improvements made by those skilled in the art without departing from the scope and essence of the embodiments of the present application shall be within the scope of the rights of the embodiments of the present application.

Claims

1. A window function signal modulation method for sidelobe suppression, characterized in that: include: Step 1: Generate an analog signal and an original window function according to a real signal to be modulated, and obtain multiple modulation functions for sidelobe suppression based on the original window function; Step 2: Use multiple modulation functions to modulate the analog signal one by one, evaluate the signal distribution of the modulated analog signal by setting the objective function, and select the best modulation function according to the evaluation result; Step 3: Modulate the real signal by the optimal modulation function to obtain a modulated signal with optimized signal distribution.

2. A window function signal modulation method for sidelobe suppression according to claim 1, characterized in that: In the step 1, generating an analog signal and an original window function according to the real signal to be modulated includes: Generate an analog signal based on the signal value and coordinates of the real signal to be modulated, and generate an original window function according to the length and amplitude of the analog signal, wherein the original window function represents a window function containing at least one adjustable parameter, including a trapezoidal window function or a Kaiser window function; The real signal to be modulated is a time domain signal or a frequency domain signal.

3. A window function signal modulation method for sidelobe suppression according to claim 2, characterized in that: When the trapezoidal window function is used as the original window function, the positions of the trapezoidal window function endpoints are adjusted to adjust the parameters, thereby obtaining multiple modulation functions, including: The adjustable parameters of the trapezoidal window function include the length of the transition bands on both sides and the length of the maximum amplitude horizontal line segment; Along the horizontal line segment with the maximum amplitude of the original window function, take any point on the horizontal line segment as the first initial point, start from the first initial point and sequentially take points with the first step length, and the point taking range does not include the two endpoints of the horizontal line segment, so as to obtain the first point set; A vertical line segment along the flat part of one side of the original window function is used, with any point on the vertical line segment as the second initial point, and points are sequentially selected from the second initial point with a second step length, and the point selection range does not include the endpoint where the vertical line segment intersects with the maximum amplitude horizontal line segment, so as to obtain a second point set; The points in the first point set and the second point set are arranged and combined one by one to obtain multiple groups of point data; the connecting line segment between the two points in each group of point data is used as the transition band on one side of the trapezoidal window function, and no transition band is set on the other side, so as to determine the maximum amplitude horizontal line segment length and obtain multiple modulation functions.

4. The window function signal modulation method for sidelobe suppression according to claim 2, characterized in that: When the Kaiser window function is used as the original window function, a Gaussian function is introduced and the center position coordinates of the Gaussian function are adjusted to adjust the parameters, thereby obtaining multiple modulation functions, including: Based on the original window function, a Gaussian function is added as a disturbance term to fine-tune the original window function, where the adjustable parameter is the center position coordinate of the Gaussian function; A group of center position coordinates is obtained by random selection, which includes several center position coordinates, and the range of random selection is determined according to the window length of the original window function; all center position coordinates in a group are substituted into the Gaussian function respectively, and the obtained multiple Gaussian functions are multiplied with the original window function to obtain a modulation function; Repeat random selection and multiplication multiple times to obtain multiple modulation functions.

5. The window function signal modulation method for sidelobe suppression according to claim 1, characterized in that: In the step 2, multiple modulation functions are used to modulate the analog signal one by one, the signal distribution of the modulated analog signal is evaluated by setting an objective function, and the best modulation function is selected according to the evaluation result, including: Multiple modulation functions are used to modulate analog signals one by one, and the signal distribution of the analog signal in another domain can be obtained by Fourier transforming the analog signal. The peak difference or peak ratio of the main lobe and the first-order side lobe of the signal distribution is used as the objective function to evaluate the spectrum of the modulated analog signal, and the objective function of the analog signal after each modulation based on the signal distribution is recorded respectively; The maximum value among the multiple objective functions is taken as an evaluation result, and according to the evaluation result, the modulation function corresponding to the maximum value is taken as the optimal modulation function.

6. A window function signal modulation method for sidelobe suppression according to claim 5, characterized in that: When the objective function is the peak difference between the main lobe and the first-order side lobe, the objective function is expressed as Objective= | P M -P FS| , where P M represents the peak value of the main lobe, P FS Indicates the peak value of the primary sidelobe; multiple objective functions are normalized, sorted, and the maximum value among the multiple objective functions is found as the evaluation result.

7. The window function signal modulation method for sidelobe suppression according to claim 5, characterized in that: When the objective function is the peak ratio of the main lobe to the first-order side lobe, the objective function is expressed as Where P M represents the peak value of the main lobe, P FS represents the peak value of the primary sidelobe; the maximum values ​​of multiple objective functions are obtained by using a particle swarm optimization algorithm as the evaluation result, wherein the number of iterations of the particle swarm optimization algorithm is the same as the number of modulation functions.

8. A window function signal modulation device for sidelobe suppression, characterized in that: include: A modulation function generation module, which is used to generate an analog signal and an original window function according to a real signal to be modulated, and obtain multiple modulation functions for sidelobe suppression based on the original window function; An optimal modulation function selection module is used to use multiple modulation functions to modulate the analog signal one by one, evaluate the signal distribution of the modulated analog signal by setting an objective function, and select the optimal modulation function according to the evaluation result; The signal modulation module is used to modulate the real signal through the optimal modulation function to obtain a modulated signal with optimized signal distribution.

9. A computing device, characterized in that It comprises a memory and one or more processors, wherein the memory stores executable code, and when the one or more processors execute the executable code, they are used to implement a window function signal modulation method for sidelobe suppression according to any one of claims 1 to 7.

10. A computer-readable storage medium, characterized in that: A program is stored thereon, and when the program is executed by a processor, a window function signal modulation method for sidelobe suppression as described in any one of claims 1 to 7 is implemented.

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