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.

### Paper Details

- Authors:
- 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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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} }

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 -