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Two-dimensional direction finding estimation method based on dimensionality reduction Capon rooting in co-prime area array

A technology of area array and direction finding, which is applied to direction finders, computing and computer parts using radio waves, and can solve the problem of high computational complexity

Pending Publication Date: 2020-12-01
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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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 dimensionality reduction Capon rooting in co-prime area array
  • Two-dimensional direction finding estimation method based on dimensionality reduction Capon rooting in co-prime area array
  • Two-dimensional direction finding estimation method based on dimensionality reduction Capon rooting in co-prime area array

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Embodiment Construction

[0055] Below in conjunction with accompanying drawing and specific embodiment the technical solution of the present invention is described in further detail:

[0056] 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, 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.

[0057] 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 is composed of two uniform plane arrays, and ...

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Abstract

The invention discloses a two-dimensional direction finding estimation method based on dimension reduction Capon rooting in a co-prime area array. The method comprises the steps: firstly building a mathematic model of a co-prime area array receiving signal, and obtaining a covariance matrix through the co-prime area array receiving signal; secondly, eigenvalue decomposition is carried out on the covariance matrix to obtain a signal subspace and a noise subspace, and a spectral function is reconstructed 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, the root of the polynomial is solved, parameter pairing is completed, and two-dimensional angle parameter estimation is completed. According to the method, the complexity and the angle estimation performance are fully balanced, and the limitation that in a traditional two-dimensionalangle 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 high is broken through; and two-dimensional DOA estimation with relatively high resolution is realized.

Description

technical field [0001] The invention belongs to the field of array signal processing, and in particular relates to a two-dimensional direction finding estimation method based on dimensionality reduction Capon root finding in a coprime plane array. 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 sa...

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Application Information

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IPC IPC(8): G06F17/11G06F17/16G06K9/62G01S3/14
CPCG06F17/11G06F17/16G01S3/14G06F18/213
Inventor 叶长波张小飞李宝宝李建峰吴启晖
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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