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An Improved Method for Estimating Source Numbers of Underdetermined Blind Source Separation Based on Wavelet Analysis

A technology of underdetermined blind source separation and wavelet analysis, applied to radio wave measurement systems, instruments, etc., can solve the problem of lack of theoretical guidance on how to select supplementary signals, large limitations, poor estimation of the number of underdetermined blind source separation sources, etc. question

Active Publication Date: 2018-09-28
STATE KEY LAB OF COMPLEX ELECTROMAGNETIC ENVIRONMENTAL EFFECTS ON ELECTRONICS & INFORMATION SYST
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Problems solved by technology

The setting of the delay parameters of the space-time method mainly depends on engineering experience and prior conditions, and the source signal is required to be a stable, non-repetitive frequency signal; the method based on wavelet or wavelet packet transform has a great impact on how to choose the reconstructed signal, wavelet basis function and wavelet decomposition layer The number lacks sufficient theoretical analysis; the EMD-based method itself has the defect of modal aliasing, and the EEMD-based method suppresses modal aliasing, but it needs to repeat the EMD decomposition for the average value many times, and the amount of calculation is large. How to choose the supplementary signal lacks theoretical guidance. The prior information of the source signal is required, which leads to the limitation of this method
For the above reasons, the three methods do not work well for underdetermined blind source separation source number estimation

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  • An Improved Method for Estimating Source Numbers of Underdetermined Blind Source Separation Based on Wavelet Analysis
  • An Improved Method for Estimating Source Numbers of Underdetermined Blind Source Separation Based on Wavelet Analysis
  • An Improved Method for Estimating Source Numbers of Underdetermined Blind Source Separation Based on Wavelet Analysis

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Embodiment Construction

[0034] The following will combine figure 1 And embodiment describe in detail the embodiment of the present invention, the implementation steps of the present invention are as follows:

[0035] 1) The signal emitted by n radiation sources is expressed as s(t)=[s 1 (t),s 2 (t),...,s n (t)] T ,T 0 is the number of signal sampling points, and the mixed signal received by m receiving arrays is expressed as x(t)=[x 1 (t),x 2 (t),...,x m (t)] T . The underdetermined blind source separation model is expressed as: x(t)=As(t)+n(t), t=1,2,...,T 0 , n(t)=[n 1 (t),n 2 (t),...,n m (t)] T Indicates the m additive noises superimposed in the received signal;

[0036] 2) Perform whitening processing on the original observation data, so that each observation signal has zero mean value, is uncorrelated with each other, and has unit variance;

[0037] 3) For the wavelet decomposition of the whitened observation signal x(t), set the number of wavelet decomposition layers as i, x 1 (t)...

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Abstract

The invention belongs to the technical field of array signal processing and discloses an improved underdetermined blind source separation source number estimation method based on wavelet analysis. The method is characterized by carrying out decomposition on observation signals through wavelet transform; carrying out single-layer reconstruction on wavelet coefficients obtained through decomposition; reconstructing an observation signal matrix and constructing a covariance matrix of the matrix; calculating characteristic values of the matrix; and calculating source number. The method can enable whitened observation signals and a part of wavelet decomposition coefficient reconstruction signals thereof to be combined into new multidimensional observation signals, can accurately carry out estimation under the condition of large signal-to-noise ratio change range of mixed signals to obtain the number of source signals, and is simple in principle and high in operability.

Description

technical field [0001] The invention belongs to the technical field of array signal processing. Background technique [0002] Blind source separation (BSS) refers to the technique of extracting and separating the original signal that cannot be directly observed from several observed mixed signals. [1-2] , source number estimation is the prerequisite for the application of blind source separation algorithm. The methods to realize source number estimation include: methods based on information theory, singular value decomposition method and Gale circle method, but these methods require that the number of observed signals is greater than or equal to the number of source signals , for the underdetermined source number estimation problem where the number of observed signals is less than the number of source signals, there is no very mature and effective method, which is a difficult point in the field of blind source separation algorithm and signal parameter estimation [3-4] . ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01S7/02
CPCG01S7/02
Inventor 王川川曾勇虎赵明洋王华兵于涛蒙洁李林许佳奇胡明明
Owner STATE KEY LAB OF COMPLEX ELECTROMAGNETIC ENVIRONMENTAL EFFECTS ON ELECTRONICS & INFORMATION SYST
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