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Harmonic signal frequency estimation method suitable for complex noise background

A technology of complex noise background and harmonic signals, applied in the field of signal processing, can solve the problems of complex implementation process, low frequency estimation resolution, low estimation accuracy and frequency resolution, etc., and achieve the effect of solving complex implementation process and high precision

Active Publication Date: 2015-11-11
山东泰开自动化有限公司
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Problems solved by technology

The cyclic statistic method is based on cyclic statistic, which is realized by fast Fourier transform and peak search method. Due to the influence of Rayleigh limit, the estimation accuracy and frequency resolution of the cyclic statistic method are not high.
The generalized covariance matrix method uses the subspace rotation invariant technique to estimate the frequency of harmonic signals, but its implementation process is complicated and the resolution of frequency estimation is low

Method used

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  • Harmonic signal frequency estimation method suitable for complex noise background
  • Harmonic signal frequency estimation method suitable for complex noise background
  • Harmonic signal frequency estimation method suitable for complex noise background

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Embodiment 1

[0029] Embodiment 1: a kind of harmonic signal frequency estimation method suitable for complex noise background, see figure 1 , this method includes the following steps to achieve:

[0030] 1) Calculate the cyclic covariance c(k); suppose the N data measurement values ​​of the harmonic signal are x(1), x(2),...,x(N), and P is the number of harmonic components. An integer K with a value range of [P+1,N / 2], calculate the cyclic covariance c(k), where k=0,1,2,...,K, then:

[0031] c ( k ) = 1 M - k Σ n = 1 M - k x 2 ( n ) ( x 2 ...

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Abstract

The invention discloses a harmonic signal frequency estimation method suitable for a complex noise background. The method has high calculation precision and can realize super-resolution estimation. The method includes the following steps of: 1) calculating cyclic covariance; 2) constructing cyclic covariance matrixes; 3) carrying out feature value decomposition; 4) constructing matrixes secondarily; 5) carrying out singular value decomposition; 6) constructing matrixes R, S and T based on the step 5); 7) constructing a matrix W=R<H>GT; 8) constructing a matrix pencil {s, w}, and carrying out generalized feature value decomposition; and 9) calculating a frequency estimated value.

Description

technical field [0001] The invention relates to the field of signal processing, in particular to a method for estimating the frequency of harmonic signals suitable for complex noise backgrounds. Background technique [0002] The problem of parameter estimation of harmonic signals is widely used in many signal processing fields, mainly to estimate the frequency of harmonic signals from observed signals polluted by noise. According to different situations of noise pollution, it can generally be divided into two situations: additive noise and complex background noise (also known as multiplicative and additive noise). [0003] At present, the estimation methods of harmonic signal frequency in complex noise background mainly include cyclic statistics method (Li Hongwei, Cheng Qiansheng. "Circular statistics method for harmonic recovery in multiplicative and additive noise", Acta Electronics, Vol. 26, No. 7 issues, 1998) and generalized covariance matrix method (Yang Shiyong. "Ha...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01R23/02G01R23/16
Inventor 杨世永冯玉文
Owner 山东泰开自动化有限公司
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