Journal
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 65, Issue 7, Pages 1810-1824Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2017.2649487
Keywords
Array response control; array pattern synthesis; adaptive array theory; array signal processing
Categories
Funding
- National Nature Science Foundation of China [61671139, 61401284]
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This paper presents a novel accurate array response control algorithm, abbreviated as A(2)RC, and its application to array pattern synthesis. The proposed A(2)RC algorithm deals with the problem of how to accurately control the array response at a given direction. Starting from the adaptive array theory, a deep analysis of the optimal weight vector is carried out. It is found that the normalized response at a given direction can be accurately adjusted to an arbitrary level, by means of making some simple modification to the initial weight vector. On this basis, all possible weight vectors, which have a specific form and can make the normalized response at the given direction equal to the prescribed value, are first figured out. Then, an effective approach to selecting the most appropriate one, which would cause the least pattern distortion, is devised. By applying the A2RC algorithm, a new pattern synthesis approach for arbitrary arrays is developed. In this approach, the array pattern is adjusted in a point-by-point manner by successively modifying the weight vector. Contrary to the conventional approaches that assign artificial interferences in an ad hoc way, our approach is able to obtain the weight vector without iteratively determining the powers of the artificial interferences. Extensive simulation results are provided to demonstrate the performance of the A(2)RC algorithm in array response control and the effectiveness of this algorithm in pattern synthesis under various situations.
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