A Comparison of Popular Band-limited Signal Reconstruction Methods

Abstract

The paper focuses on the reconstruction of continuous and discrete signals observed during a finite time interval. For the task of signal recovery, the Gerchberg-Papoulis (GP) method is compared with a proposal for an improved GP implementation and with Slepian reconstruction method. These three methods are implemented in the MATLAB and applied to selected band-limited signals. Their results are compared in terms of computational complexity and reconstruction accuracy. The improved GP method and Slepian method are recommendable, as they remove problems associated with spurious signal periodicity that is usually induced by the FFT in the original GP method.