Numerical solution of prolate spheroidal wave functions based on bandpass sampling
Xiguo Liu · Journal of Circuits and Systems · 2011
Original numerical solution has the following disadvantages:heavy calculation burden and long computing time,a new numerical solution based on bandpass sampling is proposed.The new solution specifies sampling frequency according to bandpass sampling theorem,achieves bandpass sampling value of prolate spheroidal wave functions with original numerical solution,and achieves approximate value by conducting upsampling,digits filtering and Gram-Schmidt's orthogonalization for bandpass sampling value.Theoretical analysis and simulation results show that the new numerical solution can effectively reduced calculation burden and computing time.In addition,the larger the number of sampling points is,the better the effect will be.