Opportunistic scheduling with limited channel state information: A rate distortion approach

We consider an opportunistic communication system in which a transmitter selects one of multiple channels over which to schedule a transmission, based on partial knowledge of the network state. We characterize a fundamental limit on the rate that channel state information must be conveyed to the tra...

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Bibliographic Details
Main Authors: Johnston, Matthew Ryan, Polyanskiy, Yury, Modiano, Eytan H.
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2015
Online Access:http://hdl.handle.net/1721.1/96984
https://orcid.org/0000-0002-2109-0979
https://orcid.org/0000-0001-8238-8130
Description
Summary:We consider an opportunistic communication system in which a transmitter selects one of multiple channels over which to schedule a transmission, based on partial knowledge of the network state. We characterize a fundamental limit on the rate that channel state information must be conveyed to the transmitter in order to meet a constraint on expected throughput. This problem is modeled as a causal rate distortion optimization of a Markov source. We introduce a novel distortion metric capturing the impact of imperfect channel state information on throughput. We compute a closed-form expression for the causal information rate distortion function for the case of two channels, as well as an algorithmic upper bound on the causal rate distortion function. Finally, we characterize the gap between the causal information rate distortion and the causal entropic rate-distortion functions.