Pattern Synthesis via Complex-Coefficient Weight Vector Orthogonal Decomposition

Abstract

This paper presents a new array response control scheme named complex-coefficient weight vector orthogonal decomposition (${\text{C}}^2\text{-WORD}$) and its application to pattern synthesis. The proposed ${\text{C}}^2\text{-WORD}$ algorithm is a modified version of the existing WORD approach. We extend WORD by allowing a complex-valued combining coefficient in ${\text{C}}^2\text{-WORD}$, and find the optimal combining coefficient by maximizing white noise gain (WNG). Our algorithm offers a closed-from expression to precisely control the array response level of a given point starting from an arbitrarily-specified weight vector. In addition, it results less pattern variations on the uncontrolled angles. Elaborate analysis shows that the proposed ${\text{C}}^2\text{-WORD}$ scheme performs at least as good as the state-of-the-art ${\text{A}}^{\text{2}}\text{RC}$ or WORD approach. By applying ${\text{C}}^2\text{-WORD}$ successively, we present a flexible and effective approach to pattern synthesis. Numerical examples are provided to demonstrate the flexibility and effectiveness of ${\text{C}}^2\text{-WORD}$ in array response control as well as pattern synthesis.

References in corpus (1)

• R-dimensional ESPRIT-type algorithms for strictly second-order non-circular sources and their performance analysis