PIECEWISE-LINEAR RADIAL COMPRESSION FUNCTION FOR PYRAMID TWO-DIMENSIONAL QUANTIZER

In this paper a companding-type approach is presented to designing the pyramid two-dimensional quantizer whose cells are obtained by radial spreading of the cubic cells. For a memoryless Laplacian source, the optimal radial compression function and rate allocation between the radius and location quantizers are determined subject to the mean-squared error (MSE) criterion. The results also include formulation of a new method for linearization of compression function, based on a compression function derivative discretization. It is of special importance since the unclosed-form of optimal radial compression function causes certain difficulties in companding quantizer implementation