Journal
IEEE SIGNAL PROCESSING LETTERS
Volume 29, Issue -, Pages 110-114Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2021.3128317
Keywords
Beampattern synthesis; frequency diverse array; virtual array; time invariant; convex relaxtion
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Funding
- National Natural Science Foundation of China [62071021, 61827901]
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In this paper, a joint optimization method for sparse FDAs is proposed to synthesize a decoupled transmit beampattern from the perspective of spatial-frequency virtual array. By optimizing the antenna and frequency selection, the NP-hard combinatorial optimization problem is solved, and a time-invariant decoupled beampattern is synthesized by designing a time-varying unit frequency step.
Beampattern synthesis of frequency diverse arrays (FDAs) has recently raised increased attention attributed to their range-dependent beampattern. The transmit beampattern of uniform FDA appears S-shaped, which implies coupling in the range-angle domain and thus causing unwanted energy leakage into the area of non-interest. In this work, we propose a joint optimization of sparse FDAs to synthesize a decoupled transmit beampattern from the perspective of spatial-frequency virtual array. Specifically, both spatial and spectral configuration of FDAs are optimized via joint antenna-frequency selection. In order to solve the resultant NP-hard combinatorial optimization problem, we propose an iterative reweighting strategy to transform the original problem into a convex optimization. Further, we proceed to synthesize a time-invariant decoupled beampattern by designing a time-varying unit frequency step. Comparative simulations are provided to manifest the superior performance of the proposed FDA in the metric of normalized peak sidelobe level (NPSLL) of transmit beampatterns.
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