Analysis of an adjustable modified Kaiser weighting function and its application to linear array antenna beamforming

In this paper we propose a novel class of adjustable modified Kaiser weighting functions based on minimizing the sidelobes by definition of a nonconvex problem. The proposed weighting function is rooted in the same way as the Kaiser weighting function, but it has a lower first sidelobe and equiripple form other sidelobes by determined level. Undesired sidelobes minimized by inserting a parameter for extending free degrees. The sidelobes of solving optimization problem will be compare by equal mainlobes. Simulation results show that the proposed weighting function performs better sidelobe ripple ratio than the Kaiser weighting function for the same weighting function length and normalized mainlobe width. The results show that the linear array coefficients designed by the proposed weighting function provide better far end stopband attenuation than the filters designed by the Kaiser weighting function.