Direction of Arrival Estimation Method Based on Sparse Array Direct Interpolation

A direction of arrival estimation, sparse array technology, applied in the field of signal processing, can solve the problems of information loss, DOA estimation performance degradation, matrix operation rank deficiency, etc., to achieve the effect of ensuring the degree of proximity

Active Publication Date: 2019-08-30
ZHEJIANG UNIV
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Problems solved by technology

However, there are certain limitations in statistical signal processing based on virtual domains: on the one hand, virtual arrays are usually non-uniform, in order to find an equivalent uniform linear array on the virtual domain, a common practice is The array elements are removed and only the virtual sub-arrays formed by the continuous virtual array elements are retained, which leads to the loss of information; There is a rank deficiency phenomenon in the operation, and the techniques such as spatial smoothing introduced to overcome such problems have caused the performance degradation of DOA estimation to a certain extent

Method used

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  • Direction of Arrival Estimation Method Based on Sparse Array Direct Interpolation
  • Direction of Arrival Estimation Method Based on Sparse Array Direct Interpolation
  • Direction of Arrival Estimation Method Based on Sparse Array Direct Interpolation

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example 1

[0069] Simulation example 1: The receiving end uses a sparse array of 7 physical array elements, and the positions of each physical array element are 0, 3d, 5d, 6d, 9d, 10d, 12d; assuming that the number of incident narrowband signals is 11, and the incident direction Uniformly distributed in the spatial angle range of -50° to 50°; the signal-to-noise ratio is set to 0dB, the number of sampling snapshots is T=500; the regularization parameter μ is set to 0.25.

[0070] The spatial power spectrum of the DOA estimation method based on sparse array direct interpolation proposed by the present invention is as follows: figure 2 , where the vertical dashed line represents the actual direction of the incident signal source. It can be seen that the method proposed in the present invention can effectively distinguish the 11 incident signal sources only through 7 physical array elements. However, for the traditional uniform linear array method, only 6 incident signals can be resolved ...

example 2

[0071] Simulation example 2: Consider three different sparse array structures, namely: minimum redundant array, nested array and random array; each array contains 7 physical array elements, then the physical array element position of the minimum redundant array is 0 ,d, 8d, 11d, 13d, 15d, 17d; the physical element position of the nested array is 0, d, 2d, 3d, 7d, 11d, 15d; the physical element position of the random array is randomly generated, in order to ensure the array aperture fixed, wherein the positions of the two physical array elements are fixed at 0 and 12d; assuming that the direction of the incident narrowband random signal satisfies a random distribution with a mean value of 0° and a variance of 1°, the method proposed in the present invention can achieve different array structures The root mean square error performance varies with the signal-to-noise ratio as image 3 As shown, the number of sampling snapshots T=500; at the same time, the corresponding Kramero bo...

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Abstract

The invention discloses a direction-of-arrival estimation method based on sparse array direct interpolation, mainly to solve problems such as information loss and performance attenuation caused by virtual domain-based equivalent signal processing in the prior art. The method comprises steps: a receiving end uses a sparse array to receive signals and modeling is carried out; through virtual array element interpolation, the sparse array is converted to a uniform linear array, and modeling on the received signals is carried out; an interpolation sparse array projection vector is defined; an optimization problem based on the minimization of a matrix rank is designed and solved to rebuild an interpolation sparse array covariance matrix; and according to the rebuilt interpolation sparse array covariance matrix, direction-of-arrival estimation is carried out. The degree of freedom and the accuracy for the direction-of-arrival estimation are improved, and the method can be used for passive positioning and target detection.

Description

technical field [0001] The invention belongs to the technical field of signal processing, and in particular relates to the direction of arrival estimation of radar signals, acoustic signals and electromagnetic signals, and specifically relates to a direction of arrival estimation method based on sparse array direct interpolation, which can be used for passive positioning and target detection . Background technique [0002] Direction-of-Arrival (DOA) estimation is an important branch in the field of array signal processing. It refers to the use of array antennas to receive airspace signals, and to realize the statistics of received signals through modern signal processing techniques and various optimization methods. Effective processing, so as to realize the DOA estimation of the signal, has important application value in the fields of radar, sonar, voice, wireless communication and so on. [0003] The uniform linear array is the most commonly used array structure in the tra...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01S3/14G01S3/782G01S3/802
Inventor 周成伟史治国陈积明
Owner ZHEJIANG UNIV
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