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Deconvolution power spectrum estimation method

A power spectrum estimation and deconvolution technology, applied in the field of signal spectrum estimation, can solve the problems of the resolution and accuracy of spectrum estimation results, and achieve the effect of suppressing the influence of side lobes and improving the frequency resolution.

Active Publication Date: 2017-11-03
HARBIN ENG UNIV
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Problems solved by technology

[0005] The above methods and other high-frequency resolution signal spectrum estimation methods proposed by scholars can indeed improve the resolution of the signal spectrum estimation results, but the signal sampling length is still the main factor affecting the processing performance of these high-resolution spectrum estimation methods one
And other factors, such as the signal-to-noise ratio of the signal, the model matching degree of the model method, etc., will have an impact on the resolution and accuracy of the spectral estimation results.

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[0053] The deconvolution power spectrum estimation method of the present invention specifically includes the following steps:

[0054] (1) Select a suitable window function, preprocess the data samples (that is, the window function is multiplied by the data samples in the time domain), and perform power spectrum estimation on the preprocessed data samples. There are various methods for spectrum estimation. In order to meet the application conditions of the selected Lucy-Richardson deconvolution algorithm, the periodogram method in the classic spectrum estimation method is used here to calculate the modulus square of the Fourier transform results of the data samples and the window function As the result of the power spectrum estimation of the two, that is, find P w (f)=|W(f)| 2 , Where X N (f) and W(f) are data samples x N Fourier transform of (n) and window function w(n).

[0055] (2) Use the deconvolution algorithm to perform deconvolution operation on the power spectrum of the s...

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Abstract

The invention provides a deconvolution power spectrum estimation method. The method comprises the steps that (1) a data sample is preprocessed, and power spectrum estimation is performed on the preprocessed data sample; (2) a deconvolution algorithm is utilized to perform deconvolution operation on a power spectrum of a power spectrum identical-window function of the data sample; and (3) appropriate parameters are selected for deconvolution operation, the number of iterations is selected, and then an estimated value of the power spectrum with a true signal is obtained through iteration convergence. The method overcomes the defects of spectrum leakage and low frequency resolution during power spectrum estimation due to a limited length of a data sample. Through the method, the frequency resolution of power spectrum estimation can be remarkably increased under the condition of a small data length, the influence of a sidelobe brought by a limited data length can be effectively suppressed while high-resolution power spectrum estimation is realized, therefore, extra signal processing gain is obtained, and the method has important significance for weak signal detection in a strong interference background.

Description

Technical field [0001] The invention relates to a signal processing method, specifically a signal spectrum estimation method. Background technique [0002] Spectrum analysis techniques include spectrum analysis and power spectrum estimation, and are the most commonly used means for signal analysis in the frequency domain. The power spectrum of a signal is about the energy distribution of the signal at all frequencies that make up the signal. As the basic theory of signal spectrum analysis, at first, Fourier transform was defined as a kind of global transformation carried out in the infinite time domain and frequency domain, decomposing the time domain signal into sinusoidal signals of different frequencies. In order to deal with discrete sequences, discrete-time Fourier transform and discrete Fourier transform were developed. Fourier transform can not only be applied to power spectrum estimation, but also can be extended to the field of signal time-frequency characteristic anal...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/15G01R23/16
CPCG01R23/16G06F17/156
Inventor 朴胜春郭微宋扬
Owner HARBIN ENG UNIV
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