Two-dimensional direction finding estimation method based on polynomial rooting in uniform area array

A technique of polynomial root finding and root polynomial finding, which is applied to direction finders using radio waves, radio wave direction/deviation determination systems, directional multi-channel systems using radio waves, etc., can solve problems such as high computational complexity, and achieve The effect of low complexity, reducing root-finding complexity and root-finding difficulty

Pending Publication Date: 2020-06-30
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

Among them, the 2D-MUSIC algorithm is a typical algorithm for two-dimensional DOA estimation. This method can produce asymptotic unbiased

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  • Two-dimensional direction finding estimation method based on polynomial rooting in uniform area array
  • Two-dimensional direction finding estimation method based on polynomial rooting in uniform area array
  • Two-dimensional direction finding estimation method based on polynomial rooting in uniform area array

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[0056] In order to describe the technical solution disclosed in the present invention in detail, the technical solution of the present invention will be further described below in conjunction with the drawings and specific embodiments.

[0057] In the method described in the present invention, for matrix and calculation expression thereof, ( ) T ,(·) H and(·) -1 Represented as transpose, conjugate transpose and inversion, respectively. X represents a matrix, x( ) represents a vector, Represents the Kronecker product, ⊙ represents the Khatri-Rao product, Rank(·) represents the rank of the matrix, det(·) represents the value of the determinant, and angle(·) represents the phase angle of the complex number.

[0058]In order to realize signal angle parameter estimation under the condition of incoherent multi-source incidence in a uniform array, the basic idea of ​​the two-dimensional direction finding estimation method based on polynomial root finding in a uniform array accord...

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Abstract

The invention discloses a two-dimensional direction-finding estimation method based on polynomial rooting in a uniform area array. The method comprises the following steps: firstly, obtaining a covariance matrix from received signals of the uniform area array; carrying out eigenvalue decomposition on the covariance matrix to obtain a signal subspace and a noise subspace, and determining a rootingpolynomial according to the orthogonal relation between the direction matrix and the noise subspace; finally, solving the root of the polynomial, completing parameter pairing, and completing two-dimensional angle parameter estimation. According to the method, the complexity and the angle estimation performance can be fully balanced, and the limitation that in a traditional two-dimensional angle estimation method, the angle estimation performance is good but the complexity is high or the complexity is low but the angle estimation performance is common is broken through; moreover, high-resolution two-dimensional DOA estimation can be realized, the angle estimation performance is superior to that of a 2D-PM algorithm and a 2D-ESPRIT algorithm, the angle estimation performance is basically consistent with that of a 2D-MUSIC algorithm, and the algorithm complexity is far lower than that of the 2D-MUSIC algorithm.

Description

technical field [0001] The invention belongs to the array signal processing technology, in particular to a two-dimensional direction finding estimation method based on polynomial root finding in a uniform array. Background technique [0002] The early studies on spatial spectrum estimation were all based on uniform linear arrays, but the real signal sources are all in three-dimensional space, and the incident position of the signal source can only be determined by the elevation angle and azimuth angle. Although the uniform linear array has the advantage of simple structure, it is obviously limited to study only one-dimensional DOA estimation, so the research on multi-dimensional parameter estimation has very realistic significance. In recent years, scholars have proposed a variety of joint estimation methods for two-dimensional spatial spectrum estimation and Doppler frequency. Common methods for 2D spatial spectrum estimation mainly include 2D-MUSIC algorithm, 2D-ESPRIT al...

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Application Information

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IPC IPC(8): G01S3/14G01S3/74G06F17/10
CPCG01S3/14G01S3/74G06F17/10Y02D30/70
Inventor 张小飞叶长波朱倍佐
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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