Method and system for suppressing harmonic distortion of carrier tuning nanoscale laser micro-vibration signal
Through carrier tuning technology and phase compensation methods, the harmonic distortion problem of nanometer-scale vibration signals in the laser Doppler vibrometer system is solved, high-precision nanometer-scale vibration measurement is achieved, and the stability and robustness of the measurement system are improved.
Patent Information
- Application Number
- CN202510722738.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-05-30
- Publication Date
- 2025-09-23
AI Technical Summary
Traditional laser Doppler vibrometer systems have difficulty effectively suppressing the harmonic distortion of I/Q baseband signals in nanometer-scale vibration measurements, resulting in a decrease in measurement accuracy. The existing ellipse fitting algorithm is insufficiently accurate under nanometer-scale vibration conditions.
The carrier frequency is adaptively adjusted through carrier tuning technology, and phase compensation is performed by mixing the tuned carrier with the Doppler signal. Combined with Lissajous curve correction and phase unwrapping, the orthogonality of the I/Q baseband signal is restored, and the distortion is evaluated using the total harmonic distortion measurement parameter with increasing weights.
The stability and robustness of the ellipse fitting algorithm in nanoscale vibration measurement have been significantly improved, the harmonic distortion in the nanoscale vibration demodulation results has been effectively eliminated, and the measurement accuracy has been improved.
Smart Images

Figure CN120685968A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the field of power electronics technology, and in particular to a method and system for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal. Background Art
[0002] The statements in this section merely provide background information related to the present invention and do not necessarily constitute prior art.
[0003] Nanoscale vibration typically refers to vibration signals with amplitudes ranging from a few nanometers to tens of nanometers. With the increasing demand for nanoscale vibration monitoring in industry and scientific research, such as evaluating the dynamic response of microelectromechanical systems, analyzing the stability of precision optical platforms, and studying the vibration behavior of high-end electronic packaging, traditional contact sensors have struggled to meet these requirements due to mass loading effects and bandwidth limitations. Laser Doppler vibrometer technology, with its non-contact, high-precision, and wideband response, has become the mainstream method for nanoscale vibration detection.
[0004] Orthogonal I / Q baseband signals are a prerequisite for accurate demodulation in laser Doppler vibrometer systems. However, I / Q baseband signals are susceptible to factors such as stray light, electronic noise, and carrier modulation imbalance, resulting in three types of non-orthogonality errors: amplitude error, phase error, and DC offset. This in turn causes harmonic distortion in the demodulation results. For objects with large amplitudes, subsequent signal processing algorithms can still suppress harmonic distortion to a certain extent. However, in nanoscale vibration measurement scenarios, the phase variations of the I / Q baseband signals are extremely small, making it difficult for traditional algorithms to fully suppress their non-orthogonality errors. This leads to severe harmonic distortion and a significant decrease in measurement accuracy. Therefore, research on precisely suppressing harmonic distortion in nanoscale vibration signals in laser Doppler vibrometer systems not only helps improve measurement accuracy but also has important theoretical value and practical significance for promoting technological advancement in fields such as precision manufacturing, aerospace, and micro-electromechanical systems.
[0005] In order to eliminate the harmonic distortion in the laser Doppler vibrometer system, the ellipse fitting algorithm has been widely studied and applied. Heydemann first proposed a non-orthogonal error calculation method based on least squares fitting. The algorithm obtains the parameters of the ellipse by drawing the Lissajous curve of the I / Q baseband signal and performing ellipse fitting. The Lissajous curve is corrected to a unit circle through translation, inverse rotation, and normalization, thereby restoring the orthogonality of the I / Q baseband signal and finally removing the harmonic distortion. This method transforms the suppression of harmonic distortion into the estimation problem of ellipse parameters, opening up the precedent for the application of ellipse fitting in this field. Since then, many studies have been devoted to improving the ellipse fitting algorithm. The direct least squares fitting algorithm is added to the algebraic distance minimization. The ellipticity constraint ensures that the fitting result is an ellipse even under complex conditions such as noise and partial occlusion. The Taubin least squares ellipse fitting algorithm, by rationally selecting a normalized matrix, better approximates the cost function as a geometric distance, significantly improving the accuracy of ellipse fitting without significantly increasing the computational effort. The RANSAC least squares ellipse fitting algorithm fits an ellipse model by randomly selecting a data subset, evaluating and screening the inliers that meet the model, and ultimately selecting the ellipse model containing the most inliers to effectively address interference from noise and outliers. Currently, commonly used laser Doppler vibrometers on the market generally use a laser source with a wavelength of 1550nm. When the amplitude of the object being measured is greater than one-quarter wavelength (approximately 388nm), the phase variation of the I / Q baseband signal can exceed half a cycle. In this case, the Lissajous curve exhibits a long major arc or a complete ellipse. The aforementioned ellipse fitting algorithm can still calculate the ellipse parameters and suppress harmonic distortion to a certain extent. However, when the amplitude is reduced to the nanometer level, the Lissajous curve only appears as an extremely short inferior arc, and its geometric characteristic information is seriously insufficient, resulting in a significant decrease in fitting accuracy and obvious deviations in the ellipse parameter estimation, which ultimately makes it difficult to fully suppress harmonic distortion. Summary of the Invention
[0006] In order to solve the above problems, the present invention proposes a method and system for suppressing harmonic distortion of carrier-tuned nanoscale laser micro-vibration signals, which can achieve effective compensation of the I / Q baseband signal phase, enable the ellipse fitting algorithm to maintain stability and robustness under nanoscale vibration signals, effectively eliminate non-orthogonal errors, and suppress harmonic distortion in nanoscale vibration demodulation results.
[0007] In order to achieve the above object, the present invention adopts the following technical solutions: In a first aspect, the present invention provides a method for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal, comprising the following steps: Collect the original carrier signal and Doppler signal, and extract the center frequency of the original carrier signal; Based on the sampling time, the frequency tuning amount is adaptively calculated, and the center frequency is shifted toward the low frequency direction according to the tuning amount to obtain a set of tuned carriers; The tuned carrier is mixed with the Doppler signal, and the mixed signal is low-pass filtered to obtain a phase-compensated I / Q baseband signal. A Lissajous curve is drawn for the phase-compensated I / Q baseband signal, and the Lissajous curve is corrected to a unit circle to obtain an orthogonal I / Q baseband signal. Perform arc tangent and phase unwrapping on the orthogonal I / Q baseband signal, subtract the compensation phase from the result to obtain the final signal.
[0008] As an optional implementation, when collecting the original carrier signal, an auxiliary interferometer arm is added to make the local oscillator light and the frequency-shifted light coherent, thereby restoring the original carrier signal.
[0009] As an optional implementation, the center frequency is shifted toward the low frequency direction according to the tuning amount to obtain a set of tuned carriers, specifically:
[0010] in, is the frequency tuning amount, is the center frequency of the original carrier.
[0011] As an alternative embodiment, the harmonic distortion is evaluated using a total harmonic distortion metric with increasing weights.
[0012] As an optional implementation, the I / Q baseband signal after phase compensation is:
[0013] in, is the I signal amplitude, is the Q signal amplitude, is the phase error, and are the DC bias of the I and Q signals respectively.
[0014] As an optional implementation, the orthogonal I / Q baseband signals are: .
[0015] In a second aspect, the present invention provides a carrier-tuned nanoscale laser micro-vibration signal harmonic distortion suppression system, comprising: The data acquisition module is configured to: acquire the original carrier signal and the Doppler signal, and extract the center frequency of the original carrier signal; The tuned carrier acquisition module is configured to: adaptively calculate the frequency tuning amount based on the sampling duration, shift the center frequency toward the low frequency direction according to the tuning amount, and obtain a set of tuned carriers; An orthogonal I / Q baseband signal acquisition module is configured to: mix a tuned carrier with a Doppler signal, perform low-pass filtering on the mixed signal to obtain a phase-compensated I / Q baseband signal, draw a Lissajous curve on the phase-compensated I / Q baseband signal, and correct the Lissajous curve to a unit circle to obtain an orthogonal I / Q baseband signal; The output module is configured to perform arc tangent and phase unwrapping on the orthogonal I / Q baseband signal, and subtract the compensation phase from the result to obtain a final signal.
[0016] In a third aspect, the present invention provides an electronic device comprising a memory and a processor, and computer instructions stored in the memory and executed on the processor, wherein the computer instructions, when executed by the processor, perform the method described in the first aspect.
[0017] In a fourth aspect, the present invention provides a computer-readable storage medium for storing computer instructions, wherein when the computer instructions are executed by a processor, the method described in the first aspect is performed.
[0018] In a fifth aspect, the present invention provides a computer program product, comprising a computer program, which implements the method described in the first aspect when executed by a processor.
[0019] Compared with the prior art, the present invention has the following beneficial effects: This paper proposes a method and system for suppressing harmonic distortion in carrier-tuned nanoscale laser micro-vibration signals. This system employs an adaptive carrier frequency tuning mechanism based on sampling duration, shifting the carrier frequency toward lower frequencies according to the tuning amount, enabling precise tuning of the carrier frequency under varying sampling conditions. By utilizing the tuning amount between the modulated carrier and the original carrier, the phase compensation generated by the tuning amount is introduced into the I / Q baseband signal during the mixing process, effectively compensating for the phase of the I / Q baseband signal. This significantly improves the stability and robustness of the ellipse fitting algorithm in nanoscale vibration measurement, effectively eliminates non-orthogonality errors, and suppresses harmonic distortion in the nanoscale vibration demodulation results.
[0020] This paper proposes a method and system for suppressing harmonic distortion in carrier-tuned nanoscale laser microvibration signals. Since harmonic power typically decreases with increasing harmonic order, an incrementally weighted total harmonic distortion (IW-THD) metric (IW-THD) is proposed to more effectively analyze the effectiveness of the proposed method. This metric assigns increasing weights to harmonics as their order increases. This metric emphasizes the impact of higher-order harmonics on overall distortion, providing a more comprehensive distortion assessment.
[0021] Advantages of additional aspects of the present invention will be given in part in the following description and in part will be obvious from the following description, or will be learned through practice of the present invention. BRIEF DESCRIPTION OF THE DRAWINGS
[0022] The accompanying drawings, which constitute a part of the present invention, are used to provide a further understanding of the present invention. The exemplary embodiments of the present invention and their descriptions are used to explain the present invention and do not constitute improper limitations on the present invention.
[0023] Figure 1 This is a framework diagram of the method for suppressing harmonic distortion of carrier-tuned nanoscale laser micro-vibration signals provided in Example 1 of the present invention; Figure 2 This is the Lissajous curve fitting result diagram before I / Q baseband signal phase compensation; Figure 3 This is the Lissajous curve fitting result after I / Q baseband signal phase compensation. DETAILED DESCRIPTION
[0024] The present invention will be further described below with reference to the accompanying drawings and embodiments.
[0025] It should be noted that the following detailed descriptions are exemplary and are intended to provide further explanation of the present invention. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by those skilled in the art to which the present invention belongs.
[0026] It should be noted that the terms used herein are only for describing specific embodiments and are not intended to limit exemplary embodiments according to the present invention. As used herein, unless the context clearly indicates otherwise, the singular form is also intended to include the plural form. In addition, it should be understood that the terms "including" and "having" and any variations thereof are intended to cover non-exclusive inclusions. For example, a process, method, system, product or device comprising a series of steps or units is not necessarily limited to those steps or units clearly listed, but may include other steps or units that are not clearly listed or inherent to these processes, methods, products or devices.
[0027] In the absence of conflict, the embodiments of the present invention and the features thereof may be combined with each other.
[0028] Example 1 like Figure 1 As shown, this embodiment provides a method for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal, comprising the following steps: Collect the original carrier signal and Doppler signal, and extract the center frequency of the original carrier signal; Based on the sampling time, the frequency tuning amount is adaptively calculated, and the center frequency is shifted toward the low frequency direction according to the tuning amount to obtain a set of tuned carriers; The tuned carrier is mixed with the Doppler signal, and the mixed signal is low-pass filtered to obtain a phase-compensated I / Q baseband signal. A Lissajous curve is drawn for the phase-compensated I / Q baseband signal, and the Lissajous curve is corrected to a unit circle to obtain an orthogonal I / Q baseband signal. Perform arc tangent and phase unwrapping on the orthogonal I / Q baseband signal, subtract the compensation phase from the result to obtain the final signal.
[0029] The carrier frequency is mainly determined by the RF driver of the acousto-optic modulator in the optical path, and further, mainly by the crystal oscillator of the RF driver. Since the crystal oscillator inevitably has manufacturing tolerances, temperature drift, aging and other problems, it is necessary to add an auxiliary interferometer arm to restore the original carrier signal through the coherence of the local oscillator light and the frequency-shifted light. The collected original carrier signal is analyzed by FFT to extract its center frequency. The original carrier signal is expressed as: (1) Where, is the amplitude of the original carrier signal, is the center frequency.
[0030] The obtained Doppler signal is expressed as: (2) in, is the amplitude of the Doppler signal, The phase generated by the vibration of the target object.
[0031] Based on sampling duration , adaptively calculate the frequency tuning amount : (3) Shift the carrier frequency toward the low frequency direction according to the tuning amount to obtain a set of tuned carriers: (4) in, is the frequency tuning amount, is the center frequency of the original carrier.
[0032] Mixing the tuned carrier with the Doppler signal yields: (5) because , so after low-pass filtering, the phase-compensated I / Q baseband signal can be obtained. However, due to the influence of factors such as stray light, electronic noise, and measurement and calculation errors, the I / Q baseband signal obtained at this time has non-orthogonal errors, which can be expressed as: (6) Where, is the I signal amplitude, is the amplitude of the Q signal, and the inequality between the two causes the amplitude error; is the phase error; and are the DC bias of the I and Q signals respectively.
[0033] remember , when the sampling time is When the compensation phase is Therefore, the Lissajous curve at this time becomes a major arc or a complete ellipse, thereby ensuring the accuracy of subsequent ellipse fitting.
[0034] The compensated I / Q baseband signal is plotted into a Lissajous curve, and the ellipse parameters, including the ellipse center, are calculated using the ellipse fitting algorithm. , rotation angle , semi-axis length .
[0035] By translation, inverse rotation, and normalization, the Lissajous curve is corrected to a unit circle. The formula is: (7) Thus, the orthogonal I / Q baseband signal is obtained and : (8) After arc tangent and phase unwrapping, we can get ,Right now: (9) Finally, subtracting the compensation phase, we get ,Right now: (10) The application of this algorithm can effectively solve the problem of insufficient accuracy of Lissajous curve ellipse fitting under nanoscale vibration conditions, and accurately eliminate the harmonic distortion in the nanoscale vibration demodulation results in a simple and efficient way.
[0036] As the harmonic order increases, the harmonic power generally shows a trend of gradually decreasing. In order to more effectively analyze the effectiveness of the proposed method, an incremental weighted total harmonic distortion (IW-THD) measurement parameter is proposed, as shown in the following formula: (11) in, express The power of the subharmonics, Indicates the power of the fundamental wave. Weight , increases linearly with the increase of harmonic order, making the contribution of high-order harmonics to distortion more prominent, thus providing a more comprehensive distortion evaluation.
[0037] The solution of the present invention is further described below with an example.
[0038] Taking the vibration signal with a frequency of 20 kHz and an amplitude of 4 nm as an example, the proposed method is compared with the traditional method.
[0039] (1) Proposed method Perform FFT analysis on the collected original carrier signal to extract its center frequency . According to the system sampling rate , number of sampling points , the sampling time can be obtained: (12) Based on sampling duration , the frequency tuning amount can be obtained : (13) Shift the carrier frequency toward the low frequency direction according to the tuning amount to obtain a set of tuned carriers: (14) Mixing the tuned carrier with the Doppler signal yields: (15) After low-pass filtering, the phase-compensated I / Q baseband signal can be obtained. However, due to the influence of factors such as stray light, electronic noise, and measurement and calculation errors, the I / Q baseband signal obtained at this time has non-orthogonal errors, which can be expressed as: (16) (2) Traditional methods The traditional method uses the original carrier signal for demodulation, and the carrier used is expressed as (17) The same mixing and low-pass filtering are performed with the Doppler signal to obtain the I / Q baseband signal (18) (3) Comparison of results Figure 2 The Lissajous curve (blue line) of the I / Q baseband signal and its ellipse fitting result (red line) using the traditional method are shown. Figure 3 The Lissajous curve and its fitting curve after applying the proposed method are given.
[0040] The comparison shows that the fitting curve before phase compensation deviates significantly from the original signal, while the fitting result after phase compensation is highly consistent with the original signal. Therefore, the non-orthogonality error is more thoroughly removed after phase compensation.
[0041] The I / Q baseband signal undergoes arctangent and phase unwrapping to produce the final demodulated result. Based on the weighted total harmonic distortion (IW-THD) metric, the traditional method achieves an IW-THD of 0.28, while the proposed method reduces this to 0.15, a decrease of approximately 46.4%. This demonstrates the significant effectiveness of the proposed method in improving the accuracy of ellipse fitting and suppressing harmonic distortion under nanoscale vibrations.
[0042] Example 2 This embodiment provides a carrier-tuned nanoscale laser micro-vibration signal harmonic distortion suppression system, including: The data acquisition module is configured to: acquire the original carrier signal and the Doppler signal, and extract the center frequency of the original carrier signal; The tuned carrier acquisition module is configured to: adaptively calculate the frequency tuning amount based on the sampling duration, shift the center frequency toward the low frequency direction according to the tuning amount, and obtain a set of tuned carriers; An orthogonal I / Q baseband signal acquisition module is configured to: mix a tuned carrier with a Doppler signal, perform low-pass filtering on the mixed signal to obtain a phase-compensated I / Q baseband signal, draw a Lissajous curve on the phase-compensated I / Q baseband signal, and correct the Lissajous curve to a unit circle to obtain an orthogonal I / Q baseband signal; The output module is configured to perform arc tangent and phase unwrapping on the orthogonal I / Q baseband signal, and subtract the compensation phase from the result to obtain a final signal.
[0043] It should be noted that the above modules correspond to the steps described in Example 1, and the examples and application scenarios implemented by the above modules and the corresponding steps are the same, but are not limited to the contents disclosed in the above Example 1. It should be noted that the above modules, as part of the system, can be executed in a computer system such as a set of computer-executable instructions.
[0044] In further embodiments, there is also provided: An electronic device includes a memory and a processor, and computer instructions stored in the memory and executed by the processor, wherein when the computer instructions are executed by the processor, the method described in Example 1 is performed. For the sake of brevity, no further details are given here.
[0045] It should be understood that in this embodiment, the processor may be a central processing unit (CPU), or may be other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), off-the-shelf field-programmable gate arrays (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor may be a microprocessor or any conventional processor, etc.
[0046] The memory may include a read-only memory and a random access memory, and provides instructions and data to the processor. A portion of the memory may also include a non-volatile random access memory. For example, the memory may also store information about the device type.
[0047] A computer-readable storage medium is used to store computer instructions, and when the computer instructions are executed by a processor, the method described in Example 1 is performed.
[0048] The method in Example 1 can be directly implemented as a hardware processor, or can be implemented using a combination of hardware and software modules in the processor. The software module can be located in a storage medium mature in the art, such as random access memory, flash memory, read-only memory, programmable read-only memory, electrically erasable programmable memory, registers, etc. The storage medium is located in the memory, and the processor reads the information in the memory and, in conjunction with its hardware, completes the steps of the above method. To avoid repetition, it will not be described in detail here.
[0049] A computer program product includes a computer program, which implements the method described in embodiment 1 when executed by a processor.
[0050] The present invention also provides at least one computer program product tangibly stored on a non-transitory computer-readable storage medium. The computer program product includes computer-executable instructions, such as instructions contained in program modules, which are executed in a device on a real or virtual processor of a target to perform the process / method described above. Generally, program modules include routines, programs, libraries, objects, classes, components, data structures, etc. that perform specific tasks or implement specific abstract data types. In various embodiments, the functionality of program modules can be combined or divided between program modules as needed. The machine-executable instructions for the program modules can be executed in local or distributed devices. In distributed devices, program modules can be located in local and remote storage media.
[0051] The computer program code for implementing the method of the present invention can be written in one or more programming languages. These computer program codes can be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing device so that when the program code is executed by the computer or other programmable data processing device, the functions / operations specified in the flow chart and / or block diagram are implemented. The program code can be executed entirely on a computer, partially on a computer, as an independent software package, partially on a computer and partially on a remote computer, or entirely on a remote computer or server.
[0052] In the context of the present invention, computer program code or related data can be carried by any appropriate carrier to enable a device, apparatus, or processor to perform the various processes and operations described above. Examples of carriers include signals, computer-readable media, and the like. Examples of signals include electrical, optical, radio, acoustic, or other forms of propagated signals, such as carrier waves, infrared signals, and the like.
[0053] Those skilled in the art will appreciate that the units and algorithm steps of the various examples described in conjunction with this embodiment can be implemented in electronic hardware or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professionals and technicians can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.
[0054] Although the above describes the specific embodiments of the present invention in conjunction with the accompanying drawings, it is not intended to limit the scope of protection of the present invention. Those skilled in the art should understand that various modifications or variations that can be made by those skilled in the art on the basis of the technical solution of the present invention without any creative work are still within the scope of protection of the present invention.
Claims
1. A method for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal, characterized in that: The following steps are involved: Collect the original carrier signal and Doppler signal, and extract the center frequency of the original carrier signal; Based on the sampling time, the frequency tuning amount is adaptively calculated, and the center frequency is shifted toward the low frequency direction according to the tuning amount to obtain a set of tuned carriers; The tuned carrier is mixed with the Doppler signal, and the mixed signal is low-pass filtered to obtain a phase-compensated I / Q baseband signal. A Lissajous curve is drawn for the phase-compensated I / Q baseband signal, and the Lissajous curve is corrected to a unit circle to obtain an orthogonal I / Q baseband signal. Perform arc tangent and phase unwrapping on the orthogonal I / Q baseband signal, subtract the compensation phase from the result to obtain the final signal.
2. The method for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal according to claim 1, wherein: When collecting the original carrier signal, an auxiliary interferometer arm is added to make the local oscillator light and the frequency-shifted light coherent, thereby restoring the original carrier signal.
3. The method for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal according to claim 1, wherein: The center frequency is shifted toward the low frequency direction according to the tuning amount to obtain a set of tuned carriers, specifically: in, is the frequency tuning amount, is the center frequency of the original carrier.
4. The method for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal according to claim 1, wherein: Harmonic distortion is evaluated using the total harmonic distortion metric with increasing weights.
5. The method for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal according to claim 1, wherein: The I / Q baseband signal after phase compensation is: in, is the I signal amplitude, is the Q signal amplitude, is the phase error, and are the DC bias of the I and Q signals respectively.
6. The method for suppressing harmonic distortion of a carrier-tuned nanoscale laser micro-vibration signal according to claim 1, wherein: The orthogonal I / Q baseband signals are: 。 7. Carrier-tuned nanoscale laser micro-vibration signal harmonic distortion suppression system, characterized by: include: The data acquisition module is configured to: acquire the original carrier signal and the Doppler signal, and extract the center frequency of the original carrier signal; The tuned carrier acquisition module is configured to: adaptively calculate the frequency tuning amount based on the sampling duration, shift the center frequency toward the low frequency direction according to the tuning amount, and obtain a set of tuned carriers; An orthogonal I / Q baseband signal acquisition module is configured to: mix a tuned carrier with a Doppler signal, perform low-pass filtering on the mixed signal to obtain a phase-compensated I / Q baseband signal, draw a Lissajous curve on the phase-compensated I / Q baseband signal, and correct the Lissajous curve to a unit circle to obtain an orthogonal I / Q baseband signal; The output module is configured to perform arc tangent and phase unwrapping on the orthogonal I / Q baseband signal, and subtract the compensation phase from the result to obtain a final signal.
8. An electronic device, characterized in that: The method comprises a memory and a processor, and computer instructions stored in the memory and executed on the processor, wherein when the computer instructions are executed by the processor, the method according to any one of claims 1 to 6 is completed.
9. A computer-readable storage medium, characterized in that Used to store computer instructions, which, when executed by a processor, complete the method according to any one of claims 1 to 6.
10. A computer program product, characterized in that The invention comprises a computer program, which implements the method according to any one of claims 1 to 6 when executed by a processor.
Citation Information
Cited By
A method and system for suppressing spectral aliasing and nonlinear distortion
CN122385951A