Linear narrowband filtering method based on resonance enhancement singular value decomposition

A singular value decomposition and narrowband filtering technology, applied in the field of signal processing, can solve the problems of singular value decomposition, reconstruction, noise reduction processing and unsatisfactory feature extraction results, and achieve the effect of solving the problem of disorder in the frequency domain

Active Publication Date: 2017-11-14
AIR FORCE UNIV PLA
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Problems solved by technology

In the background of complex engineering noise, when there is no obvious amplitude advantage between the eigenfrequency signal and other frequency signals, the traditional singular value decomposition may decompose the eigenfrequency signal into several singular values, so that a single singular value reconstruction is used to extr

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  • Linear narrowband filtering method based on resonance enhancement singular value decomposition
  • Linear narrowband filtering method based on resonance enhancement singular value decomposition
  • Linear narrowband filtering method based on resonance enhancement singular value decomposition

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Embodiment Construction

[0037] A linear narrow-band filtering method based on resonance enhanced singular value decomposition, the specific steps of the method are as follows:

[0038] Step (1): Determine the number of columns q and the number of rows p of the Hankel matrix according to the requirements of data sampling frequency fs, filter center frequency fc, and bandwidth B, and then determine the length N of the analysis signal.

[0039] Step (2): The measured discrete time series signal is intercepted and divided into several sections with a length of N, and each section should have a certain overlap.

[0040] Step (3): Use frequency spectrum analysis to determine the frequency and amplitude range of each segment of the signal. This step is not necessary and can also be obtained based on prior knowledge.

[0041] Step (4): Adding a sinusoidal excitation signal whose frequency f is equal to the center frequency fc of the band-pass filter and whose amplitude A is significantly greater than other c...

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Abstract

The invention discloses a linear narrowband filtering method based on resonance enhancement singular value decomposition. According to the method, firstly a measured signal is reasonably intercepted according to an analysis signal length, then the linear narrowband filtering is carried out, the linear narrowband filtering comprises a step of adding a sinusoidal excitation signal whose frequency is equal to a band-pass filter center frequency and whose amplitude is significantly larger than other components in the analysis signal into the signal, constructing a Hankel matrix, carrying out singular value decomposition and using a first singular value to reconstruct a component signal, and subtracting the excitation signal from the reconstructed signal, finally sections of signals are combined, and the precise extraction of a specific frequency signal amplitude and phase information under a strong interference background is realized. According to the method, a frequency domain disorder problem of traditional singular value decomposition is solved.

Description

Technical field: [0001] The invention belongs to the field of signal processing, and relates to a method for accurately extracting the amplitude and phase information of a specific frequency signal in a measured signal through linear narrow-band filtering based on the resonance-enhanced singular value decomposition principle. Background technique: [0002] Singular value decomposition is introduced into signal processing as a theoretically complete mathematical method for data compression, noise reduction, feature extraction, weak signal separation and filter design, etc., and combined with wavelet analysis, EMD and other processing methods in engineering Further improve the signal processing effect in practice. The traditional singular value decomposition has three basic characteristics: linear decomposition, frequency-domain disorder of reconstruction components and band-pass filtering. In the background of complex engineering noise, when there is no obvious amplitude adv...

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Application Information

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IPC IPC(8): G01H17/00
CPCG01H17/00
Inventor 程礼梁涛郭立程铭
Owner AIR FORCE UNIV PLA
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