An application of Shannon's rate-distortion theory to analog communication over feedback channels

1 June 1967

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE

Vol. 55 (6) , 1102-1103
https://doi.org/10.1109/PROC.1967.5747

Abstract

We show that an algorithm, due to Omura and Schalkwijk, for transmitting real numbers over a white Gaussian noise channel, is most efficient in a minimum-mean-square-error sense because, at least for white Gaussian sources, it achieves the lower bound predicted by Shannon's theory of fidelity criteria (rate-distortion theory).

Keywords

RATE-DISTORTION
FEEDBACK
GAUSSIAN NOISE
ADDITIVE NOISE
DISTORTION MEASUREMENT
STATISTICS
REGULATORS
CONTROL THEORY
DYNAMIC PROGRAMMING
EQUATIONS