Rate-Distortion Analysis of Dead-Zone Plus Uniform Threshold Scalar Quantization and Its Application—Part I: Fundamental Theory
Rate-Distortion Analysis of Dead-Zone Plus Uniform Threshold Scalar Quantization and Its Application—Part I: Fundamental Theory
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DOI：
10.1109/tip.2012.2215618
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发表时间：
2013
影响因子：
10.6
通讯作者：
Jun Sun;Y. Duan;Jiangtao Li;Jiaying Liu;Zongming Guo
中科院分区：
文献类型：
--
作者：
Jun Sun;Y. Duan;Jiangtao Li;Jiaying Liu;Zongming Guo
本文提供了针对广义高斯分布（GGD）的死区加均匀阈值标量量化（DZ+UTSQ）和近均匀重构量化（NURQ）的系统率失真（R-D）分析，包括R-D性能分析和R-D建模两个方面。在R-D性能分析中，我们首先推导了GGD的最佳熵约束DZ+UTSQ/NURQ的初步约束，在该约束下阐明了GGD失真率（D-R）函数的性质。然后针对实际变换系数的GGD源，在实际编码码率范围内严格推导最佳DZ+UTSQ/NURQ的细化约束和精确条件，并提出高效的DZ+UTSQ/NURQ设计准则，合理简化实际中有效量化器的使用。在 R-D 建模中，受 R-D 性能分析的启发，首先开发了 D-R 函数，然后使用分析和启发式方法导出了新颖的速率量化 (R-Q) 和失真量化 (D-Q) 模型。 D-R、R-Q 和 D-Q 模型形成描述速率、失真和量化步长之间关系的源模型。所提出的源模型的一项应用是在 H.264/AVC 参考软件的编码器上进行有效的两遍 VBR 编码算法设计，实现了恒定的视频质量和理想的码率控制精度。
This paper provides a systematic rate-distortion (R-D) analysis of the dead-zone plus uniform threshold scalar quantization (DZ+UTSQ) with nearly uniform reconstruction quantization (NURQ) for generalized Gaussian distribution (GGD), which consists of two aspects: R-D performance analysis and R-D modeling. In R-D performance analysis, we first derive the preliminary constraint of optimum entropy-constrained DZ+UTSQ/NURQ for GGD, under which the property of the GGD distortion-rate (D-R) function is elucidated. Then for the GGD source of actual transform coefficients, the refined constraint and precise conditions of optimum DZ+UTSQ/NURQ are rigorously deduced in the real coding bit rate range, and efficient DZ+UTSQ/NURQ design criteria are proposed to reasonably simplify the utilization of effective quantizers in practice. In R-D modeling, inspired by R-D performance analysis, the D-R function is first developed, followed by the novel rate-quantization (R-Q) and distortion-quantization (D-Q) models derived using analytical and heuristic methods. The D-R, R-Q, and D-Q models form the source model describing the relationship between the rate, distortion, and quantization steps. One application of the proposed source model is the effective two-pass VBR coding algorithm design on an encoder of H.264/AVC reference software, which achieves constant video quality and desirable rate control accuracy.