Zhenxing Xu
ABSTRACT
In this paper, we devise a sparse array design algorithm for frequency-invariant (FI) beam pattern synthesis. Our approach is still based on considering the optimization process as a sequence of weighted <Formula format="inline"><TexMath><?TeX $\ell 1$ ?></TexMath><File name="a00--inline1" type="gif"/></Formula> optimizations under multiple convex constraints. The proposed method uses the alternating direction penalty method (ADPM) to solve the weighted <Formula format="inline"><TexMath><?TeX $\ell 1{\rm{\ }}$ ?></TexMath><File name="a00--inline2" type="gif"/></Formula>norm problem, and admits closed-form solutions at each ADPM iteration. A set of examples for the synthesis of FI patterns with the multiple simultaneous crossover frequency-invariant (FI) patterns, are presented to validate the effectiveness and advantages of the proposed method. Simulation results exhibit excellent performance of the proposed method, which is comparable to that of the previous methods. The synthesized 6 and 11 cross FI beams took 0.095 and 0.258 days, respectively.
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Index Terms
- Sparse Broadband Array Synthesis via ADPM
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