Theory and Practice of Rate Division in Distributed Video Coding

Peng WANG; Jia WANG; Songyu YU; Yuye PANG

doi:10.1093/ietfec/e91-a.7.1806

Theory and Practice of Rate Division in Distributed Video Coding

Peng WANG, Jia WANG, Songyu YU, Yuye PANG

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Wyner and Ziv characterized the rate distortion function for lossy source coding with side information at the decoder. It is well known that for the quadratic Gaussian case, the Wyner-Ziv rate-distortion function coincides with the conditional rate-distortion function. In this paper, we extend the problem to the coding of multivariate Gaussian source with multiple Gaussian side information at the decoder. The achievable region is obtained, and it is easily extended to the case that the difference between the source and the side information is multivariate Gaussian, no matter what distributions the source and the side information are. We apply this theoretical model to Distributed Video Coding (DVC) by considering the difference of the Distributed frame (D frame) and the Side-information frame (S frame) to be multivariate Gaussian distributed. This introduces rate allocation problem into DVC, which can be solved by a reverse water-filling method. Simulation results show that around 1.5-2 dB coding gain benefits from the multivariate Gaussian Wyner-Ziv coding model.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.7 pp.1806-1811

Publication Date: 2008/07/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e91-a.7.1806

Type of Manuscript: PAPER

Category: Multimedia Environment Technology

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Peng WANG, Jia WANG, Songyu YU, Yuye PANG, "Theory and Practice of Rate Division in Distributed Video Coding" in IEICE TRANSACTIONS on Fundamentals, vol. E91-A, no. 7, pp. 1806-1811, July 2008, doi: 10.1093/ietfec/e91-a.7.1806.
Abstract: Wyner and Ziv characterized the rate distortion function for lossy source coding with side information at the decoder. It is well known that for the quadratic Gaussian case, the Wyner-Ziv rate-distortion function coincides with the conditional rate-distortion function. In this paper, we extend the problem to the coding of multivariate Gaussian source with multiple Gaussian side information at the decoder. The achievable region is obtained, and it is easily extended to the case that the difference between the source and the side information is multivariate Gaussian, no matter what distributions the source and the side information are. We apply this theoretical model to Distributed Video Coding (DVC) by considering the difference of the Distributed frame (D frame) and the Side-information frame (S frame) to be multivariate Gaussian distributed. This introduces rate allocation problem into DVC, which can be solved by a reverse water-filling method. Simulation results show that around 1.5-2 dB coding gain benefits from the multivariate Gaussian Wyner-Ziv coding model.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.7.1806/_p

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@ARTICLE{e91-a_7_1806,
author={Peng WANG, Jia WANG, Songyu YU, Yuye PANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Theory and Practice of Rate Division in Distributed Video Coding},
year={2008},
volume={E91-A},
number={7},
pages={1806-1811},
abstract={Wyner and Ziv characterized the rate distortion function for lossy source coding with side information at the decoder. It is well known that for the quadratic Gaussian case, the Wyner-Ziv rate-distortion function coincides with the conditional rate-distortion function. In this paper, we extend the problem to the coding of multivariate Gaussian source with multiple Gaussian side information at the decoder. The achievable region is obtained, and it is easily extended to the case that the difference between the source and the side information is multivariate Gaussian, no matter what distributions the source and the side information are. We apply this theoretical model to Distributed Video Coding (DVC) by considering the difference of the Distributed frame (D frame) and the Side-information frame (S frame) to be multivariate Gaussian distributed. This introduces rate allocation problem into DVC, which can be solved by a reverse water-filling method. Simulation results show that around 1.5-2 dB coding gain benefits from the multivariate Gaussian Wyner-Ziv coding model.},
keywords={},
doi={10.1093/ietfec/e91-a.7.1806},
ISSN={1745-1337},
month={July},}

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TY - JOUR
TI - Theory and Practice of Rate Division in Distributed Video Coding
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1806
EP - 1811
AU - Peng WANG
AU - Jia WANG
AU - Songyu YU
AU - Yuye PANG
PY - 2008
DO - 10.1093/ietfec/e91-a.7.1806
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2008
AB - Wyner and Ziv characterized the rate distortion function for lossy source coding with side information at the decoder. It is well known that for the quadratic Gaussian case, the Wyner-Ziv rate-distortion function coincides with the conditional rate-distortion function. In this paper, we extend the problem to the coding of multivariate Gaussian source with multiple Gaussian side information at the decoder. The achievable region is obtained, and it is easily extended to the case that the difference between the source and the side information is multivariate Gaussian, no matter what distributions the source and the side information are. We apply this theoretical model to Distributed Video Coding (DVC) by considering the difference of the Distributed frame (D frame) and the Side-information frame (S frame) to be multivariate Gaussian distributed. This introduces rate allocation problem into DVC, which can be solved by a reverse water-filling method. Simulation results show that around 1.5-2 dB coding gain benefits from the multivariate Gaussian Wyner-Ziv coding model.
ER -