Sparse reconstruction based frequency diverse array transmit beampattern synthesis

For frequency diverse array (FDA) pattern synthesis, smaller aperture or fewer elements are expected to obtain the desired beampattern performance. This paper propose a new FDA beampattern synthesis approach by ℓ
₁
-norm minimization and convex optimization. Given array aperture, a virtual uniform linear FDA array with much smaller element spacing and corresponding frequency increment is created first; then, the array pattern synthesis (APS) problem is formulated as finding a jointly sparse weight vector, the antenna elements corresponding to nonzero values of the joint sparse weight vector are retained to form the non-uniform FDA. Finally, the weight vector of the non-uniform FDA is optimized via convex programming. Compared with discrete spheroidal sequence (DSS) method, the proposed algorithm can save 7 antenna elements to achieve the desired radiation pattern.