Pattern Synthesis With Multipoint Accurate Array Response Control

• Published in: IEEE transactions on antennas and propagation Vol. 65; no. 8; pp. 4075 - 4088
• Main Authors: Zhang, Xuejing, He, Zishu, Liao, Bin, Zhang, Xuepan, Peng, Weilai
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Antenna arrays; Antennas; Array pattern synthesis; array response control; Array signal processing; Convex functions; derivative constraint; Electronic mail; Genetic algorithms; Geometry; Signal processing algorithms; Synthesis
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2017.2718582

In this paper, the problem of pattern synthesis with antenna arrays is addressed, and new approaches based on the recently developed accurate array response control (A 2 RC) algorithm are presented. It is shown that the array weight vector obtained by the A 2 RC algorithm to control the normalized response at a single direction in each step belongs to a specific set. Thus, an appropriate weight vector chosen from the intersection of weight vector sets corresponding to the desired responses at multiple directions is capable of simultaneously controlling those responses. This results in the so-called multipoint accurate array response control (MA 2 RC) algorithm. Moreover, in order to avoid possible beam axis shift in pattern synthesis, a modified MA 2 RC (M 2 A 2 RC) algorithm is proposed by imposing a derivative constraint on the direction of beam axis. Representative numerical examples are provided to demonstrate the effectiveness of the proposed MA 2 RC and M 2 A 2 RC algorithms for multipoint responses control and pattern synthesis.