Recursive seflf-correction algorithm and application to discrete signal processing

Abstract

A recursive self-correction algorithm is introduced to improve the calculation accuracy of discrete signal processing under failing the fulfilling of the required application conditions. This algorithm is applied to the discrete Fourier transform(DFT) and averaging algorithms of discrete periodic signals.The analytical and simulation results show the accuracy improvement for processing discrete periodic signals sampled non-synchronously. Exact DFT analysis and averaging for sinusoid signals are realized by the recursive self-correction algorithm under fulfilling the sampling theorem. For non-sinusoid periodic signals the processing accuracy is much higher than that of other algorithms. The principle can also be used for the accuracy improvement of some approximation algorithms.