Optimal piecewise linear radial compression function for Laplacian source
Zoran Perić, Aleksandra Ž. Jovanović · European Transactions on Telecommunications · 2008
Abstract In order to achieve a quantisation technique that has low implementation complexity and performance arbitrarily close to that of Laplacian source optimal vector quantisation, a model of optimal geometric piecewise uniform cubic lattice vector quantiser will be proposed. It will be shown that the presented design procedure is not only much easier for realisation than the procedure of optimal vector quantiser design, but also gives the signal to quantisation noise ratio which in some cases differs from that of the optimal vector quantisation for 0.05 dB and less. It will also be demonstrated that the optimal geometric piecewise uniform vector quantiser model can be described with the optimal piecewise linear radial compression function. Further, since the optimal geometric piecewise uniform lattice vector quantisation in the case of large enough subregions number has performances identical to those of optimal vector quantisation, the optimal nonlinear radial compression function for Laplacian source will also be derived. Copyright © 2008 John Wiley & Sons, Ltd.