An Extrapolation Algorithm for $(a,b,c,d)$-Bandlimited Signals

Abstract

This letter investigates the extrapolation problem of (a, b, c, d)-bandlimited signals. First, an iterative (a, b, c, d)-bandlimited signal extrapolation algorithm is proposed. Then by use of the interesting properties of generalized prolate spheroidal wave functions, the convergence of the proposed algorithm is proved. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed extrapolation algorithm.