Spectrum MUSIC method for achieving uniform linear array by means of root computing of real polynomials

A polynomial root-finding and uniform linear array technology, which is applied in radio wave measurement systems, special data processing applications, instruments, etc., can solve the problems of inability to guarantee numerical stability, high-order complex polynomial root-finding and high computational complexity, etc.

Inactive Publication Date: 2014-10-29
XIDIAN UNIV
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Problems solved by technology

The disadvantage of this method is that the rooting of high-order complex polyn...

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  • Spectrum MUSIC method for achieving uniform linear array by means of root computing of real polynomials
  • Spectrum MUSIC method for achieving uniform linear array by means of root computing of real polynomials
  • Spectrum MUSIC method for achieving uniform linear array by means of root computing of real polynomials

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Embodiment Construction

[0077] The present invention will be further described below in conjunction with accompanying drawing:

[0078] refer to figure 1 , is the flow chart of the spectrum MUSIC method for real polynomial root finding of the present invention to realize the uniform linear array. In the embodiment of the present invention, the antenna of the radar is a uniform linear array. For a uniform linear array of radar, the number of array elements is N, and the interval between array elements is d. Real polynomial root finding of the present invention realizes the spectral MUSIC method of uniform linear array and comprises the following steps:

[0079] Step 1, use the radar to receive the echo data, and obtain the covariance matrix of the echo data According to the covariance matrix of the echo data Calculate the complex polynomial coefficient vector b corresponding to the extreme points of the MUSIC spectrum.

[0080] Its specific sub-steps are:

[0081] (1.1) Establish the echo data...

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Abstract

The invention belongs to the technical field of radar signal processing, and particularly relates to a spectrum MUSIC method for achieving a uniform linear array by means of root computing of real polynomials. The spectrum MUSIC method includes the following steps of (1) computing coefficient vectors of the complex polynomials, (2) computing a window vector, (3) computing coefficients of the polynomials of all intervals, and (4) computing extreme values of MUSIC spectrums. According to the method, the coefficient vectors of the complex polynomials are computed quickly through Fourier transformation, the method of computing the extremities of the MUSIC spectrums is changed into the method of computing roots of multiple sets of low-order polynomials, and windowing Fourier transformation is carried out on related vectors of a signal subspace so that the coefficients of all the sets of the polynomials can be obtained. The defects that in the prior art, elaborate angle searching algorithms are needed, computation complexity is high and value stability is poor are overcome, and the method has the advantages that computation complexity is low and value stability is good and has great potential in estimation of the direction of arrival in low complexity.

Description

technical field [0001] The invention belongs to the technical field of radar signal processing, and in particular relates to a spectrum MUSIC method for finding the root of a real polynomial to realize a uniform linear array, and further relates to a method for estimating the direction of arrival of a uniform linear array by using the spectrum MUSIC in array signal processing. The present invention utilizes the multi-window technology to effectively realize spectrum MUSIC. Using multi-window Fourier transform, high-order complex polynomials are decomposed into multiple groups of low-order real polynomials, so that all roots can be solved at the same time, and it has low computational complexity and good numerical stability. The present invention has great potential for low complexity estimation of direction of arrival. Background technique [0002] Direction of arrival estimation is an important part of array signal processing. Among the proposed algorithms, the multiple s...

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Application Information

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IPC IPC(8): G06F19/00G01S7/41
Inventor 王彤崔伟芳吴建新傅翱
Owner XIDIAN UNIV
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