Rate-Distortion Functions for Nonstationary Gaussian Autoregressive Processes

2008 ◽  
Author(s):  
Robert M. Gray ◽  
Takeshi Hashimoto
Keyword(s):  
Rate Distortion ◽  
Autoregressive Processes ◽  
Distortion Functions

scholarly journals Asymptotic Rate-Distortion Analysis of Symmetric Remote Gaussian Source Coding: Centralized Encoding vs. Distributed Encoding

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 213 ◽  
Author(s):  
Yizhong Wang ◽  
Li Xie ◽  
Siyao Zhou ◽  
Mengzhen Wang ◽  
Jun Chen
Keyword(s):  
Mean Squared Error ◽  
Source Coding ◽  
Rate Distortion ◽  
Asymptotic Rate ◽  
Squared Error ◽  
Simple Characterization ◽  
Distortion Functions ◽  
Distortion Analysis ◽  
Gaussian Source ◽  
Multivariate Gaussian

Consider a symmetric multivariate Gaussian source with ℓ components, which are corrupted by independent and identically distributed Gaussian noises; these noisy components are compressed at a certain rate, and the compressed version is leveraged to reconstruct the source subject to a mean squared error distortion constraint. The rate-distortion analysis is performed for two scenarios: centralized encoding (where the noisy source components are jointly compressed) and distributed encoding (where the noisy source components are separately compressed). It is shown, among other things, that the gap between the rate-distortion functions associated with these two scenarios admits a simple characterization in the large ℓ limit.

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