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PENALTY FUNCTION SOLUTION TO PATTERN SYNTHESIS OF ANTENNA ARRAY BY A DESCENT ALGORITHM

By T. J. Zeng and Q. Feng

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Abstract:
In this paper, an algorithm based on penalty cost function for synthesizing at-top patterns is proposed. A descent algorithm (DA) as its optimizing approach is proposed in this paper as well. Apparently, whole algorithm efficiency totally depends on the DA. Unlike traditional descent method, the DA defines step length by solving a inequality, instead of Wolf or Armijo-type search rule, stimulation results indicate that it can improve the computational efficiency. Under mild conditions, we prove that the DA has strong convergence properties. Several numerical examples are presented to illustrate the effectiveness of the proposed algorithm. The results indicate that the approach is effective in the pattern shape precisely in both mainlobe and sidelobe region for arbitrary linear arrays.

Citation:
T. J. Zeng and Q. Feng, "Penalty Function Solution to Pattern Synthesis of Antenna Array by a Descent Algorithm," Progress In Electromagnetics Research B, Vol. 49, 281-300, 2013.
doi:10.2528/PIERB12122808

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