A dichotomy of functions f(x,y) of correlated sources (x,y) from the viewpoint of the achievable rate region

Authors:
Te Sun Han;Kingo Kobayashi
Affiliations:
Senshu Univ., Kawasaki, Japan;Osaka Univ., Osaka, Japan
Venue:
IEEE Transactions on Information Theory
Year:
1987

Citing 0
Cited 5

Cascade multiterminal source coding

ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Lattices for distributed source coding: jointly Gaussian sources and reconstruction of a linear function

IEEE Transactions on Information Theory
Lattices for distributed source coding: jointly Gaussian sources and reconstruction of a linear function

AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
The lossy one-helper conjecture is false

Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Distributed function computation in asymmetric communication scenarios

Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing

Quantified Score

Hi-index	754.90

Visualization

Abstract

Consider separate encoding of correlated sourcesX^{n}=(X_{l}, cdots ,X_{n}), Y^{n} = (Y_{l}, cdots ,Y_{n})for the decoder to reliably reproduce a function{F(X_{i}, Y_{i})}^{n}_{i=1}. We establish the necessary and sufficient condition for the set of all achievable rates to coincide with the Slepian-Wolf region whenever the probability densityp(x,y)is positive for all(x,y).