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The Exponential Distribution in Rate Distortion Theory: The Case of Compression with Independent Encodings

Abstract: 

In this paper, we consider the rate-distortion problem where a source X is encoded into k parallel descriptions Y1, . . . , Yk, such that the error signals X - Yi, i = 1, . . . , k, are mutually independent given X. We show that if X is one-sided exponentially distributed, the optimal decoder (estimator) under the one-sided absolute error criterion, is simply given by the maximum of the outputs Y1, . . . , Yk. We provide a closed-form expression for the rate and distortion for any k number of parallel descriptions and for any coding rate. We furthermore show that as the coding rate per description becomes asymptotically small, encoding into k parallel descriptions and using the maximum output as the source estimate, is rate-distortion optimal.

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Paper Details

Authors:
Ram Zamir
Submitted On:
24 March 2020 - 12:05pm
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Jan Østergaard
Session:
Session 11
Document Year:
2020
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[1] Ram Zamir, "The Exponential Distribution in Rate Distortion Theory: The Case of Compression with Independent Encodings", IEEE SigPort, 2020. [Online]. Available: http://sigport.org/5021. Accessed: Mar. 30, 2020.
@article{5021-20,
url = {http://sigport.org/5021},
author = {Ram Zamir },
publisher = {IEEE SigPort},
title = {The Exponential Distribution in Rate Distortion Theory: The Case of Compression with Independent Encodings},
year = {2020} }
TY - EJOUR
T1 - The Exponential Distribution in Rate Distortion Theory: The Case of Compression with Independent Encodings
AU - Ram Zamir
PY - 2020
PB - IEEE SigPort
UR - http://sigport.org/5021
ER -
Ram Zamir. (2020). The Exponential Distribution in Rate Distortion Theory: The Case of Compression with Independent Encodings. IEEE SigPort. http://sigport.org/5021
Ram Zamir, 2020. The Exponential Distribution in Rate Distortion Theory: The Case of Compression with Independent Encodings. Available at: http://sigport.org/5021.
Ram Zamir. (2020). "The Exponential Distribution in Rate Distortion Theory: The Case of Compression with Independent Encodings." Web.
1. Ram Zamir. The Exponential Distribution in Rate Distortion Theory: The Case of Compression with Independent Encodings [Internet]. IEEE SigPort; 2020. Available from : http://sigport.org/5021