Direction finding estimation method based on four-order cumulant vectorization DFT

A fourth-order cumulant and vectorization technology, which is applied to direction finders using radio waves, radio wave direction/deviation determination systems, complex mathematical operations, etc., can solve problems such as reduced degrees of freedom and high complexity

Active Publication Date: 2020-11-20
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

Existing methods are mainly applied to sparse arrays of different array manifolds through fourth-order cumulant vectorization (VFOC) combined with spatial smoothing subspace algorithms such as SS-MUSIC or SS-ESPRIT, but these methods may exist Failure to make full use of all virtual array elements, the degree of freedom is reduced, or there is a problem of high complexity caused by a wide range of angle searches

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  • Direction finding estimation method based on four-order cumulant vectorization DFT
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  • Direction finding estimation method based on four-order cumulant vectorization DFT

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[0081] The present invention is described in further detail now in conjunction with accompanying drawing.

[0082] It should be noted that terms such as "upper", "lower", "left", "right", "front", and "rear" quoted in the invention are only for clarity of description, not for Limiting the practicable scope of the present invention, and the change or adjustment of the relative relationship shall also be regarded as the practicable scope of the present invention without substantive changes in the technical content.

[0083] 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, vec(·) represents matrix vectorization, and angle(·) represents the phase angle of complex numbers.

[0084] combine Figure ...

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Abstract

The invention discloses a direction finding estimation method based on four-order cumulant vectorization DFT. The method comprises the steps that a four-order cumulant matrix is obtained through received signals of a nested matrix and vectorization processing is carried out on the four-order cumulant matrix to obtain a vector z; the z is sorted, redundancy is deleted, and a received signal z1 of acontinuous virtual array element is obtained; a DFT matrix F is constructed, a vector y = Fz1 is calculated, the positions of K maximum peak values of the vector y is obtained, a phase rotation matrix is constructed, an offset phase is obtained through spectral peak search in a small range, and a parameter estimation result is obtained. According to the method, the complexity and the angle estimation performance can be fully balanced, and the limitation that in a traditional sparse array 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 low is broken through.

Description

technical field [0001] The invention relates to the technical field of array signal processing, in particular to a direction finding estimation method based on fourth-order cumulant vectorized DFT. Background technique [0002] Direction of arrival estimation is one of the hot issues in the research of array signal processing. It has been widely used in radar, sonar, wireless communication and other fields. Traditional subspace methods only use the second-order statistic array autocorrelation matrix, and In the signal model, it is assumed that the source is a Gaussian distributed random variable or random process. For the case where the signal is non-Gaussian, the information is not fully included in the second-order statistics, and a large amount of useful information is included in the higher-order cumulants. Therefore, a more accurate correlation function matrix can be obtained by using a higher order cumulant. In addition, since high-order cumulants are not sensitive t...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S3/14G06F17/16
CPCG01S3/14G06F17/16Y02D30/70
Inventor 张小飞叶长波李宝宝
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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