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

A polynomial root-finding, root-finding polynomial technology, applied in design optimization/simulation, special data processing applications, complex mathematical operations, etc., can solve the problem of high computational complexity, achieve high precision, reduce the difficulty of root finding, and low complexity Effect

Pending Publication Date: 2021-04-30
苏州市冠伽安全科技有限责任公司
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Problems solved by technology

However, most of these algorithms need to search for full-angle or partial-angle spectral peaks, and their computational complexity is very high.

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

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Embodiment Construction

[0051] Below in conjunction with accompanying drawing and specific embodiment the technical solution of the present invention is described in further detail:

[0052] Symbol representation: in the present invention (·) T ,(·) H (·) -1 and(·)* Represented as transpose, conjugate transpose, inversion and conjugate operations, respectively. Bold uppercase letters represent matrices, bold lowercase letters represent vectors, 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.

[0053] Assuming that there are K narrow-band far-field incoherent sources incident on this coprime array, its two-dimensional direction of arrival is (θ k ,φ k ),k=1,2,…,K, where θ k and φ k Represent the elevation angle and azimuth angle of the kth source, respectively. The coprime plane array can be decomposed into two array e...

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Abstract

The invention discloses a two-dimensional direction-finding estimation method based on polynomial rooting in a co-prime area array, and the method comprises the following steps: firstly, obtaining a covariance matrix through a received signal of the co-prime area array; secondly, performing eigenvalue decomposition on the covariance matrix to obtain a signal subspace and a noise subspace, and rebuilding a spectral function by using the relationship between a co-prime area array and the FCPA; then, determining a rooting polynomial according to the orthogonal relation between the direction matrix and the noise subspace; finally, solving the root of the polynomial, finishing parameter pairing, and finishing two-dimensional angle parameter estimation. The invention has the advantages that 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 calculation complexity is low but the angle estimation performance is poor is broken through. According to the algorithm, high-resolution two-dimensional DOA estimation can be realized, and the problem of influence of initial estimation precision on subsequent estimation is effectively solved.

Description

technical field [0001] The invention relates to a two-dimensional direction finding estimation method based on polynomial root finding in a coprime surface array, belonging to the field of array signal processing. Background technique [0002] Spatial spectrum (DOA) estimation is an important research direction of array signal processing, widely used in radar, sonar and astronomy and other fields. In two-dimensional spatial spectrum estimation, the topology of array antennas mainly includes L-shaped arrays, planar arrays, circular arrays, and parallel arrays, etc., but these arrays require that the array element spacing is not greater than half a wavelength to avoid angular ambiguity. However, if the distance between the array elements is too close, it will bring a strong mutual coupling effect, thereby reducing the estimation accuracy, and the signal estimation accuracy is positively correlated with the array aperture. In the case of the same array element, increasing the a...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F17/16G06F17/15G06F17/12
CPCG06F17/12G06F17/15G06F17/16G06F30/20
Inventor 冯高鹏陆冠峰
Owner 苏州市冠伽安全科技有限责任公司
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