Pattern-reconfigurable sparse array synthesis with minimum element spacing constraint

Due to the coupling effects caused by closely spaced array elements, the minimum spacing constraint is introduced into the synthesis of a multiple-pattern sparse array, and a low-complexity off-grid sparse reconstruction algorithm is applied to achieve precise array element position. The auxiliary w...

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Published in:Journal of electromagnetic waves and applications Vol. 39; no. 7; pp. 810 - 821
Main Authors: Wang, Zhongyuan, Xu, Min, Shen, Mingwei, Shen, Yipin
Format: Journal Article
Language:English
Published: Taylor & Francis 03.05.2025
Subjects:
Minimum spacing constraint
off-grid
reconfigurable multiple patterns
sparse array
ISSN:0920-5071, 1569-3937
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Abstract Due to the coupling effects caused by closely spaced array elements, the minimum spacing constraint is introduced into the synthesis of a multiple-pattern sparse array, and a low-complexity off-grid sparse reconstruction algorithm is applied to achieve precise array element position. The auxiliary weighted vector with spacing constraint is incorporated into the off-grid synthesis problem, transforming the initial l 0 -norm optimization into the mixed l 0 /l 1 -norm optimization, and a sequential alternating iteration (SAI) method has been presented to approach the optimization problems. In addition, convex optimization is employed to simultaneously obtain offsets to decrease reconstruction errors in different beam patterns. The experimental results show that the SAI method achieves the desired antenna patterns for multiple scanning angles through the optimal arrangement of sparse array elements while ensuring sufficient array element spacing. Compared to the previous method, the pattern error is reduced by 16.67% and the sparsity is increased by 20%.
AbstractList Due to the coupling effects caused by closely spaced array elements, the minimum spacing constraint is introduced into the synthesis of a multiple-pattern sparse array, and a low-complexity off-grid sparse reconstruction algorithm is applied to achieve precise array element position. The auxiliary weighted vector with spacing constraint is incorporated into the off-grid synthesis problem, transforming the initial l 0 -norm optimization into the mixed l 0 /l 1 -norm optimization, and a sequential alternating iteration (SAI) method has been presented to approach the optimization problems. In addition, convex optimization is employed to simultaneously obtain offsets to decrease reconstruction errors in different beam patterns. The experimental results show that the SAI method achieves the desired antenna patterns for multiple scanning angles through the optimal arrangement of sparse array elements while ensuring sufficient array element spacing. Compared to the previous method, the pattern error is reduced by 16.67% and the sparsity is increased by 20%.
Author Shen, Yipin
Xu, Min
Shen, Mingwei
Wang, Zhongyuan
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Snippet Due to the coupling effects caused by closely spaced array elements, the minimum spacing constraint is introduced into the synthesis of a multiple-pattern...
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SubjectTerms Minimum spacing constraint
off-grid
reconfigurable multiple patterns
sparse array
Title Pattern-reconfigurable sparse array synthesis with minimum element spacing constraint
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