OPARC: Optimal and Precise Array Response Control Algorithm -- Part II: Multi-points and Applications

TL;DR

This paper extends the OPARC algorithm to multi-point scenarios, providing efficient parameter determination methods and demonstrating its applications in array pattern synthesis, adaptive beamforming, and pattern control with validated simulation results.

Contribution

The paper introduces a multi-point extension of the OPARC algorithm with new parameter methods and applies it to various array processing tasks, including pattern synthesis and beamforming.

Findings

Enhanced array response control for multiple points.

Effective array pattern synthesis and adaptive beamforming.

Validated superiority through simulation results.

Abstract

In this paper, the optimal and precise array response control (OPARC) algorithm proposed in Part I of this two paper series is extended from single point to multi-points. Two computationally attractive parameter determination approaches are provided to maximize the array gain under certain constraints. In addition, the applications of the multi-point OPARC algorithm to array signal processing are studied. It is applied to realize array pattern synthesis (including the general array case and the large array case), multi-constraint adaptive beamforming and quiescent pattern control, where an innovative concept of normalized covariance matrix loading (NCL) is proposed. Finally, simulation results are presented to validate the superiority and effectiveness of the multi-point OPARC algorithm.