Abstract:

In order to simplify the original constructing method of the prolate spheroidal wave function (PSWF) time domain orthogonal pulse set and solve the problems that the power spectrum of pulse signals is expanding, the power spectrum concentration ratio and the orthogonality between pulse signals are vitiating due to Gram Schmidt’s orthogonalization, a new constructing method is proposed. The new method merely requires parameters setting and equation solving. Frequency dividing and Gram Schmidt’s orthogonalization are not needed. Theoretical analysis and simulation results show that the new method has not only simplified the constructing processes and solved the problems caused by Gram Schmidt’s orthogonalization, but also improved the bandwidth efficiency and the peak to average power ratio performance of nonsinusoidal modulation based on PSWF.