Design of Novel Two-Level Quantizer with Extended Huffman Coding for Laplacian Source

Abstract

This paper proposes the novel model of two-level scalar quantizer with extended Huffman coding that is designed such that to achieve as close as possible approaching of the bit rate to the source entropy under the given constrain that the SQNR value does not deviate more than 1 dB from the optimal SQNR Lloyd-Max's quantizer value. Unlike to the Lloyd-Max's quantizer, for the proposed quantizer, the asymmetry of representation levels is assumed to provide an unequal probability of representation levels for the symmetric Laplacian probability density function, that in turn provides the proper basis for the further implementation of a lossless compression techniques. The convergence of the proposed quantizer’s bit rate to the source entropy is examined in the case of two and three symbol blocks.