Efficient dead-zone plus uniform threshold scalar quantization of generalized Gaussian random variables

This paper studies the rate-distortion (R-D) performance of entropy-constrained dead-zone plus uniform threshold scalar quantization (DZ+UTSQ) and nearly-uniform reconstruction quantization (NURQ) for generalized Gaussian distribution (GGD). We first derive the preliminary constraint of R-D optimized DZ+UTSQ/NURQ for GGD. Then for GGD source of actual DCT coefficients, the refined constraint and precise conditions of optimum DZ+UTSQ/NURQ are rigorously deduced in the real coding bit rate range. Based on above analysis, efficient DZ+UTSQ/NURQ design criteria are proposed to reasonably simplify the implementation of effective quantizer in practice.