PCM - Sigma delta comparison and sparse representation quantization

In this paper, we investigate the class of signals where the signal-wise first order sigma-delta quantization error is less than the signal-wise PCM error. We use the same redundant frame {e_n}_n=1 ^N for both quantization methods, which we choose to be a finite unit-norm tight frame (FUNTF). The complete analysis of this investigation can be found in (J.J. Benedetto and O. Oktay, 2008). Second, we introduce the sparse representation quantization procedure (SRQP), inspired by developments in sparse representation.