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

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.

### Paper Details

- Authors:
- Submitted On:
- 24 March 2020 - 12:05pm
- Short Link:
- Type:
- Event:
- Presenter's Name:
- Session:
- Document Year:
- Cite

### Subscribe

[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: Jun. 02, 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} }

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 -

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