Signal Reconstruction and Coding

Abstract

Consider a low-pass signal with N samples where the amplitude of t samples was modified. Is it possible to find a method to detect which samples violate the low-pass condition and reconstruct their original amplitude? Most of the known techniques of signal reconstruction don’t solve this problem, being necessary to know the error positions in order to find their correct amplitudes. However, the BCH type error correction codes, for example, can solve this problem in two steps, first, they found the error positions, then, they found the error amplitudes. (...)