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Estimation Method of sfm Signal Parameters Based on Bessel Function and Toeplitz Algorithm

A Bessel function and signal technology, applied in the field of complex sine frequency modulation signal parameter estimation, can solve the problems of poor algorithm performance, limited by parameters, and can only estimate some parameters, etc., to achieve good frequency estimation effect, small calculation amount, comprehensive estimated effect

Active Publication Date: 2016-03-23
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

Lu Yuan et al. (Lv Yuan, Zhu Jun, Tang Bin. Parameter Estimation of Nonlinear Frequency Modulation Signal Based on DPT [J]. Journal of Electronic Measurement and Instrumentation, 2009,23(6):63-67.) Realized by discrete polynomial transformation Parameter estimation for complex sinusoidal FM signals, but the algorithm performs poorly in the case of deep modulation
[0004] In summary, there are few researches on parameter estimation methods for complex sinusoidal FM signals, or they are limited by parameters or can only estimate part of the parameters. Therefore, there is no universally applicable processing algorithm for complex sine FM signals

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  • Estimation Method of sfm Signal Parameters Based on Bessel Function and Toeplitz Algorithm
  • Estimation Method of sfm Signal Parameters Based on Bessel Function and Toeplitz Algorithm
  • Estimation Method of sfm Signal Parameters Based on Bessel Function and Toeplitz Algorithm

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Embodiment Construction

[0020] The invention performs frequency detection and estimation on the decomposed narrow-band sinusoidal signal according to the method of DOA estimation on the basis of processing the SFM signal by the Bessel function, and solves the problems that the SFM signal is difficult to handle and limited by other parameter estimation.

[0021] In the following, the method of formula derivation is directly used to derive the carrier frequency fc and modulation frequency f of the complex sinusoidal FM signal. m , modulation coefficient m f and harmonic amplitude parameters.

[0022] The parameter estimation of the SFM signal is specifically, the complex sinusoidal FM signal is expressed as:

[0023] s(t)=Aexp(j(2πf c t+m f sin(2πf m t))),0≤t≤T(1)

[0024] Among them, A is the amplitude of the signal, f c is the signal carrier frequency, f m is the modulation frequency of the signal, m f is the frequency modulation coefficient. The discrete sampling sequence obtained by discre...

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Abstract

The invention provides a method combining a Bessel function with a Toeplitz algorithm, and belongs to the technical field of signal processing. According to the method, an SFM signal is processed according to the character of the Bessel function and Jacobi transformation, and then parameters of the SFM signal are detected and estimated in combination with an array signal processing algorithm. The method solves the problem that a signal covariance matrix is not approximate to a true value after the transformation of the SFM signal. The method not only can accurately and comprehensively estimate all the parameters of the signal but also can estimate multi-component SFM signal parameters.

Description

technical field [0001] The present invention relates to signal processing technology, in particular to a method for estimating parameters of complex sinusoidal frequency modulation (SFM) signals. Background technique [0002] A complex sinusoidal frequency modulated (SFM) signal is a non-stationary signal whose instantaneous frequency is a sinusoidal function that varies nonlinearly with time. The nonlinearity of the phase function leads to the non-stationarity of the signal, so the frequency of the complex sinusoidal frequency modulation (SFM) signal has a large change with time and exhibits strong time local characteristics. The traditional time domain and frequency domain analysis methods are not as applicable as the analysis of stationary signals, so effective research methods are needed to deal with such signals. [0003] Time-frequency analysis is an effective method to deal with non-stationary signals. The most commonly used method is to combine Wigner-Ville distribu...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01R23/00G01R23/16
Inventor 张天骐高春霞易琛张刚高陈强王志朝邓灵金静
Owner CHONGQING UNIV OF POSTS & TELECOMM
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