On RealTime Communication Systems with Noisy Feedback
Abstract
We consider a realtime communication system with noisy feedback consisting of a Markov source, a forward and a backward discrete memoryless channels, and a receiver with finite memory. The objective is to design an optimal communication strategy (that is, encoding, decoding, and memory update strategies) to minimize the total expected distortion over a finite horizon. We present a sequential decomposition for the problem, which results in a set of nested optimality equations to determine optimal communication strategies. This provides a systematic methodology to determine globally optimal joint sourcechannel encoding and decoding strategies for realtime communication systems with noisy feedback.
 Publication:

arXiv eprints
 Pub Date:
 September 2007
 arXiv:
 arXiv:0709.3753
 Bibcode:
 2007arXiv0709.3753M
 Keywords:

 Computer Science  Information Theory;
 Computer Science  Multiagent Systems;
 Mathematics  Optimization and Control;
 Mathematics  Probability
 EPrint:
 5 pages, 2 figures, submitted to IEEE Information Theory Workshop