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A Method of Blind Source Separation in Complex Domain

A technology of blind source separation and complex number domain, applied in the field of blind source separation in complex number domain, can solve problems such as restricting the application range of algorithms

Inactive Publication Date: 2018-04-27
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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  • A Method of Blind Source Separation in Complex Domain
  • A Method of Blind Source Separation in Complex Domain
  • A Method of Blind Source Separation in Complex Domain

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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 complex field objective 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)

[008...

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Abstract

The invention discloses a method for blind source separation in the complex field, which constructs a target matrix group in the complex field and performs real symmetry to obtain the target matrix group composed of the restructured real-valued target matrix, and converts the joint diagonalization problem in the complex field into The joint diagonalization problem in the real number field can be used to solve the blind source separation problem in the complex number field; and compared with other algorithms that are also applicable to the complex number field, the target matrix to be jointly diagonalized is not constrained to be a Hermitian symmetric matrix or a positive definite Hermitian matrix Special matrix, with extremely wide applicability; using the alternating least squares iterative algorithm based on the joint diagonal least squares cost function, making full use of the structural characteristics of the target matrix group composed of real-valued target matrices, in order to realize the new target matrix group The joint diagonalization of the method; the alternate least squares iterative algorithm is used to solve the cost function, the estimated value of the aliasing matrix is ​​obtained, and the blind source separation is realized. The simulation results verify that the method of the present invention has high convergence accuracy.

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...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L25/03G06F17/16G06F17/15
Inventor 徐先峰段晨东刘来君
Owner CHANGAN UNIV
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