In this paper we propose a new and fast hybrid technique for pattern synthesis and peak side lobe (PSL) control of thinned array antennas. This technique is based on the using difference sets (DS) to thin an array and convex programming (CP) to synthesize the desired pattern. Based on this technique two arrays with sum and difference patterns and low PSL are synthesized. The simulation results show that the PSL of synthesized sum and difference patterns are equal to -17.5 dB and -16.1 dB, respectively. The presented technique in this paper is a fast synthesis method which leads to an appropriate pattern for thinned arrays.

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