Abstract
The problem of optimum sparse array configuration to maximize the beamformer output signal-to-interference plus noise ratio (MaxSINR) in the presence of multiple sources of interest (SOI) has been recently addressed in the literature. In this paper, we consider a shared aperture system where optimum sparse subarrays are allocated to individual SOIs and collectively span the entire full array receiver aperture. Each subarray may have its own antenna type and can comprise a different number of antennas. The optimum joint sparse subarray design for shared aperture based on maximizing the sum of the subarray beamformer SINRs is considered with and without SINR threshold constraints. We utilize Taylor series approximation and sequential convex programming techniques to render the initial nonconvex optimization a convex problem. The simulation results validate the shared aperture design solutions for MaxSINR for both cases where the number of sparse subarray antennas is predefined or left to constitute an optimization variable.
Highlights
Shared aperture antenna describes a system of two or more sparse subarrays, each performing a separate task, deployed on a common aperture [1]
We propose a joint optimum sparse subarray design technique with the objective of maximizing the signal-to-interference and noise ratio (SINR) of some sources, while attaining a predefined SINR threshold for the remaining sources
Adding the numbers of sensors per subarray as an optimization variable maintains the convexity of the sequential convex programming (SCP) optimization problem (17) and the reformulated problem can be written as max z1,...,zP K1,...,KP
Summary
Shared aperture antenna describes a system of two or more sparse subarrays, each performing a separate task, deployed on a common aperture [1]. The coexistence of radar, electronic warfare, and communications functions on the same aperture was investigated in [2], where subarrays with different operating frequencies and polarization are utilized to perform separate tasks. Each sparse subarray of the shared aperture performs separate beamforming and strives to maximize the signal-to-interference and noise ratio (SINR) for its designated source or for a specific direction. Most of the existing work on maxSINR beamforming focuses on a single mission array where the entire array aperture, regardless of whether it is full or sparse, is tasked to deal with one or more sources in the field of view [28] In such case, the main objective is to maximize the SINR at the output of the receiver by optimally configuring the array and deciding on the beamformer coefficients.
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