A Signal Processing Method Based on Fast Independent Component Analysis to Eliminate Intersection Items of Wigner-ville Distribution

An independent component analysis and independent component technology, which is applied in the field of signal processing, can solve problems such as poor real-time performance, and achieve the effects of high real-time performance, small amount of calculation, and fast convergence speed

Active Publication Date: 2016-08-24
SHENYANG UNIV
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Problems solved by technology

At present, the independent component analysis method is rarely used in eliminating the cross term of Wigner-Ville distribution. Wu Junbiao et al. used independent component analysis to eliminate The intersection term of the Wigner-Ville distribution of time-varying signals. In this paper, the maximum likelihood estimation method is used to optimize the objective function. The convergence speed of this method is linear, and the real-time performance is poor.

Method used

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  • A Signal Processing Method Based on Fast Independent Component Analysis to Eliminate Intersection Items of Wigner-ville Distribution
  • A Signal Processing Method Based on Fast Independent Component Analysis to Eliminate Intersection Items of Wigner-ville Distribution
  • A Signal Processing Method Based on Fast Independent Component Analysis to Eliminate Intersection Items of Wigner-ville Distribution

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Embodiment 1

[0045] 1. For multi-component signals for preprocessing, ,in , ,Sampling frequency ,Sampling point , the time domain waveform is as figure 1 shown; first for multi-component signals Centralized processing to get signal ,in ; Secondly, for the signal Perform whitening processing to decompose the signal The covariance matrix of , get its eigenvalues , a unitary matrix ;calculate , get the whitening matrix ; the whitening matrix left multiplied signal , complete signal Whitening processing, get the signal .

[0046] 2. Use the fast independent component analysis method to analyze the signal Perform unmixing processing to obtain several independent component signals , , according to the embodiment, it is estimated that the number of independent components is 2, so that the number of iterations ; randomly select an initial vector ,calculate ,function is a non-quadratic function The first derivative of , yes The second deriva...

Embodiment 2

[0050] 1. For multi-component signals for preprocessing, ,in , , , ,Sampling frequency ,Sampling point , the time domain waveform is as Figure 5 shown; first for multi-component signals Centralized processing to get signal ,in ; Secondly, for the signal for whitening, The covariance function of is ,right Decompose to obtain its eigenvalues , where the unitary matrix ,calculate Find the whitening matrix ; the whitening matrix left multiplied signal , complete signal Whitening processing, get the signal .

[0051] 2. Use the fast independent component analysis method to analyze the signal Perform unmixing processing to obtain several independent component signals , , , , according to the embodiment, it is estimated that the number of independent components is 4, so that the number of iterations ; randomly select an initial vector ,calculate ,function is a non-quadratic function The first derivative of , yes The...

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Abstract

The invention provides a method for removing Wigner-Ville cross terms based on quick and independent component analysis, and relates to the technical field of processing of signals. The method is that a multi-component signal is demixed by the quick and independent component analysis method, thus each independent component signal can be effectively demixed, and the multi-component signal Wigner-Ville distribution can be reconstructed according to the Wigner-Ville distribution of each independent component signal. According to the method, a way for removing the Wigner-Ville cross terms is provided; the method is on the basis of the signal decomposing concept, the kernel functions are not needed to be designed again, the method is easily performed, and the operation quantity is small; meanwhile, the target function can be optimized by calculating effective fixed points; thus the convergence is fast, and the real-time performance is improved, and moreover, high time-frequency concentration is maintained; with the adoption of the method, the cross items can be removed, and usable information can be remained.

Description

technical field [0001] The invention relates to the technical field of signal processing, in particular to a signal processing method for eliminating intersection items of Wigner-Ville distribution. Background technique [0002] The Wigner-Ville distribution (Wigner-Ville Distribution) is a bilinear time-frequency distribution proposed by the scholar Ville in 1948, which can simultaneously reveal the distribution of signal energy in the time domain and the frequency domain. It is widely used in the field of signal processing applications because of frequency aggregation. However, many signals in the engineering field contain complex frequency components. Wigner-Ville analysis for such multi-component signals will produce cross terms, which limits the further development of Wigner-Ville analysis methods. In response to this problem, researchers have proposed some methods. The published literature mainly includes "A Time-Frequency Distribution Kernel Function Construction Met...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L25/03
Inventor 齐晓轩郭婷婷韩晓微
Owner SHENYANG UNIV
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