Rate-Quantization and Distortion-Quantization Models of Dead-Zone Plus Uniform Threshold Scalar Quantizers for Generalized Gaussian Random Variables

摘要

This paper presents the rate-distortion modeling of the dead-zone plus uniform threshold scalar quantizers with nearly-uniform reconstruction quantizers (DZ+UTSQ/NURQ) for generalized Gaussian distribution (GGD). First, we rigorously deduce the analytical rate-quantization (R-Q) and distortion-quantization (D-Q) functions of DZ+UTSQ/NURQ for Laplacian distribution (an important special case of GGD). Then we heuristically extend these results and obtain the R-Q and D-Q models for GGD under DZ+UTSQ/NURQ. The effectiveness of the proposed GGD R-Q and D-Q models is well confirmed from low to high bit rate via extensive simulation experiments, promising the efficiency and accuracy to guide various video applications in practice.