Journal of Jilin University(Engineering and Technology Edition) ›› 2022, Vol. 52 ›› Issue (1): 204-210.doi: 10.13229/j.cnki.jdxbgxb20200794

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Coprime circular array DOA estimation method

Xin-bo LI(),Xiao-yu WANG,Hou-yu LI,Liang-xu JIANG,Bo GUAN,Wang WANG   

  1. College of Communication Engineering，Jilin University，Changchun 130022，China
  • Received:2020-10-18 Online:2022-01-01 Published:2022-01-14

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Abstract:

To solve the problem of limited aperture of traditional uniform circular arrays， a co-prime circular array is designed， and on this basis， a two-dimensional direction of arrival estimation method based on phase mode excitation is studied. First， two uniform circular sub-arrays with a distance between array elements greater than half a wavelength are stacked to form a relatively prime circular array structure. Then， based on the phase mode transformation algorithm， the element space problem is transformed into the beam space. The algorithm combines the co-prime circular array into a Vandermonde structure similar to ULA and the Hermitian center symmetrical array flow pattern， reducing the dimensions of spectral peak searching， realizing array flow pattern through unitary transformation， reducing algorithm complexity. Theoretical analysis and simulation experiments show that under the same conditions， compared with the uniform circular array MUSIC algorithm， the proposed phase mode excitation MUSIC algorithm for the relatively prime circular array reduces the running time from 1.825 s to 0.622 s， increases the array aperture MN/（M+N-2） times， improves the DOA estimation accuracy and the real-time performance of the system， and it has a higher resolution for the estimation of similar sources.

Key words: DOA estimation, coprime circular array, MUSIC algorithm, phase mode excitation

CLC Number: 

  • TN911

Fig.1

Co-prime circular array"

Fig.2

Co-prime array signal reception model"

Fig.3

Uniform circular array spatial spectrum"

Fig.4

Co-prime circular array spatial spectrum"

Fig.5

MUSIC algorithm estimates root mean square error"

Table 1

Algorithm calculation analysis comparison"

阵列类型/圆阵运算时间/s

MUSIC均匀

MUSIC互质

RB?MUSIC均匀

RB?MUSIC互质

1.825

1.368

0.744

0.622

Fig.6

Uniform circular array phase mode excitation spatial spectra"

Fig.7

Co-prime circular array phase mode excitation spatial spectra"

Fig.8

DOA resolution probability graph based onco-prime circular array phase mode excitation MUSIC algorithm"

Fig.9

Phase mode excitation MUSIC algorithm estimates the root mean square error"

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