Optimal Pulse Design Based on Synthesis of PSWFs for UWB

A novel ultra-wideband (UWB) pulse design algorithm combining the methods of spectrum analysis and orthogonal basis synthesis in time domain is presented to improve the spectrum utilization efficiency and conform the federal communications commission (FCC) emission mask constraint. UWB pulse can be obtained by orthogonal synthesis of finite number of prolate spheroidal wave function (PSWF) pulse basis, which matching FCC emission mask. The simulation results show that the pulse designed by this algorithm can perfectly meet the requirement of FCC emission mask and has higher spectrum utilization efficiency.