Frequency estimation method and device for all-phase time-shift phase difference

A frequency estimation, all-phase technology, applied in frequency measurement devices, spectral analysis/Fourier analysis, etc., can solve the problems of no frequency estimation variance comparison, no design improvement measures, etc., to overcome the whole cycle phase ambiguity problem, leakage Small, the effect of enhanced noise resistance

Active Publication Date: 2016-07-06
TIANJIN UNIV
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Problems solved by technology

[0005] For the original all-phase time-shift phase difference frequency estimator, literature [11] found that its accuracy is related to the degree of frequency deviation of the signal (that is, the closer the frequency deviation value δ is to 0.5, the lower the accuracy), but this literature does not combine apFFT In-depth analysis of the experimental result

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  • Frequency estimation method and device for all-phase time-shift phase difference

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Embodiment Construction

[0067] The improved all-phase time-shift phase difference frequency estimator proposed by the present invention has the following properties:

[0068] 1) The frequency estimator of the present invention can improve the precision of the original all-phase time-shift phase difference frequency estimator, and its frequency estimation variance is closer to the Cramereau limit;

[0069] 2) The frequency estimator of the present invention can improve the robustness to noise of the original all-phase time-shift and phase-difference frequency estimator, and reduce its signal-to-noise ratio threshold.

[0070] 3) The frequency estimator of the present invention can also overcome the whole cycle phase ambiguity problem existing in the original all-phase time-shift and phase-difference frequency estimator.

[0071] 1. Estimator total measurement process

[0072] The flow process of the frequency measurement method of the all-phase time-shift phase difference frequency estimator proposed...

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Abstract

The invention belongs to the field of digit signal processing, and provides an improved frequency estimation method and device for all-phase time-shift phase difference, capable of improving precision and robustness and lowering signal-noise ratio threshold. The frequency estimation method includes the steps of inputting M=2N-1+L samples, namely x(-N+1-L) to x(N-1), obtaining a first path phase value phi, conducting all-phase FFT for x(-N+1-L) to x(N-1), directly taking the phase of index value K=K2 at peak spectrum as a second path phase value phi2, multiplying the difference of two paths of phase value (phi-phi2) with 1/delta omega L to obtain the initial frequency bias estimated value epsilon, conducting frequency drift compensation for the initial frequency bias estimated value epsilon to obtain the modified frequency bias estimated value ^ epsilon, and outputting the normalized frequency estimated value as described in the description. The method and apparatus are applicable to digital signal processing.

Description

technical field [0001] The invention belongs to the field of digital signal processing and relates to the problem of improving signal frequency estimation accuracy given finite samples. Specifically, it relates to an improved all-phase time-shift phase-difference frequency estimation method and its device. Background technique [0002] Frequency estimation is one of the most fundamental problems in signal processing, and it is also a key issue in many fields such as vibration analysis [1], array signal processing [2], electromagnetics [3], etc. As we all know, the maximum likelihood estimation of this problem falls at the spectral peak position of the discrete time Fourier transform (DTFT) of the signal, but the ideal DTFT cannot be realized in engineering. Therefore, in practical applications, DFT (DiscreteFourierTransform, whose fast algorithm is FFT) is usually used to replace DTFT. In order to overcome the fence effect of FFT, it is necessary to further interpolate [4,...

Claims

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Application Information

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IPC IPC(8): G01R23/02G01R23/16
CPCG01R23/02G01R23/16
Inventor 黄翔东白瑞朋
Owner TIANJIN UNIV
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