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Complex field blind source separation method

A technology of blind source separation and complex domain, applied in the field of complex domain blind source separation, which can solve problems such as restricting the application scope of the algorithm

Inactive Publication Date: 2016-01-27
CHANGAN UNIV
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Problems solved by technology

Obviously, the restriction on the target matrix greatly restricts the application range of the above algorithm

Method used

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Embodiment Construction

[0073] According to the above-mentioned technical scheme, the blind source separation method in the complex domain of the present invention, see figure 1 , including the following steps:

[0074] Step 1: Construct the target matrix group.

[0075] A linear array composed of M array elements, N narrowband sources incident on the linear array from different directions, the M-dimensional observation signal x(t) received by the linear array is:

[0076] x(t)=As(t)+n(t)(1)

[0077] where A∈F M×N (M≥N) is the aliasing matrix, s(t)=[s 1 (t),...,s N (t)] T is the source signal vector, x(t)=[x 1 (t),...,x M (t)] T is the observed signal, n(t)=[n 1 (t),...,n M (t)] T is the noise vector.

[0078] T observation signal samples according to observation signal x(t) Construct a set of target matrix groups {C with a total number of K k ,k=1,…K}, where each target matrix has the following diagonalizable structure:

[0079] C k = AD k A H ,k=1,...K(2)

[0080] where D k ,k=...

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Abstract

The invention discloses a complex field blind source separation method. A complex filed target matrix system is built, and real symmetrization is carried out to obtain a reconstructed target matrix system formed by a real-value target matrix, the complex field combined diagonalization problem is converted into the real field combined diagonalization problem to solve the complex field blind source separation problem; compared with other algorithms that are also suitable for the complex filed, the method doesn't restrain a diagonalization target matrix to be combined into a hermitian symmetric matrix or a positive definite hermitian matrix and is wide in application; an alternative least square iterative algorithm based on combined diagonalization least square cost functions is adopted, and the structural characteristics of the target matrix system formed by the real-value target matrix are fully used to realize the combined diagonalization of a new target matrix system; The cost functions are solved by the alternative least square iterative algorithm, the estimate values of a mixed matrix are obtained, the blind source separation is realized, and the simulation results verify that the method provided is high in convergence precision.

Description

technical field [0001] The invention belongs to the technical field of blind signal processing, and relates to a blind source separation method in complex number domain. Background technique [0002] Blind Source Separation (BSS), also known as Blind Signal Separation (BSS), is widely used in wireless communication, radar, image, voice, biomedicine, seismic wave detection and other fields, and is a hot research topic in the field of signal processing. [0003] In order to achieve blind source separation, when the prior knowledge of the source signal and its aliasing parameters is unknown, on the premise that the arrangement ambiguity and scale ambiguity are acceptable, many methods often use the received aliasing signal and based on the source signal Statistical properties of , construct a group of target matrices with a diagonalizable structure, and obtain a mixed matrix (or its inverse matrix) called a "joint diagonalizer" by performing a joint diagonalization operation on...

Claims

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Application Information

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IPC IPC(8): H04L25/03G06F17/16G06F17/15
Inventor 徐先峰段晨东刘来君
Owner CHANGAN UNIV
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