A novel array response control algorithm via oblique projection

TL;DR

This paper introduces a new array response control algorithm using oblique projection, enabling precise multi-point response adjustment from a single weight vector with a closed-form solution, enhancing array pattern synthesis.

Contribution

It proposes a novel array response control method based on linear transformation and oblique projection, providing a flexible, accurate, and independent multi-point response adjustment technique.

Findings

Effective multi-point response control demonstrated through simulations.

Closed-form solution enables precise and flexible array pattern synthesis.

Response levels can be independently adjusted with minimal impact on uncontrolled regions.

Abstract

This paper presents a novel array response control algorithm and its application to array pattern synthesis. The proposed algorithm considers how to flexibly and precisely adjust the array responses at multiple points, on the basis of one given weight vector. With the principle of adaptive beamforming, it is shown that the optimal weight vector for array response control can be equivalently obtained with a different manner, in which a linear transformation is conducted on the quiescent weight. This new strategy is utilized to realize multi-point precise array response control from one given weight vector, and it obtains a closed-form solution. A careful analysis shows that the response levels at given points can be independently, flexibly and accurately adjusted by simply varying the parameter vector, and that the uncontrolled region remains almost unchanged. By applying the proposed algorithm, an effective pattern synthesis approach is devised. Simulation results are provided to demonstrate the performance of the proposed algorithm.