APPLICATION OF CONSTRAINED OPTIMIZATION TECHNIQUES TO ARRAY PATTERN SYNTHESIS

The paper presents two design methods for synthesizing antenna array p atterns with an adjustable mainlobe width and minimum average sidelobe level. One method involves matching the array response to a desired r esponse over the mainlobe width while minimizing the mean-square value of the array response over the sidelobe regions. The other method inv olves minimizing the mean-square error between a desired response and the response of the antenna array over a certain mainbeam width subjec t to a mean-square sidelobe constraint. Numerical techniques based on matrix factorization are proposed to reduce the computational complexi ty. Subsequently, a set of linear constraints are used to approximate the effect of the quadratic constraint. Numerical results show that th e proposed techniques are very effective in the design of antenna patt ern having an adjustable mainlobe width and minimum average sidelobe l evel.