Information Rates Over Multi-View Channels

Arvind Rameshwar, V and Weinberger, N (2024) Information Rates Over Multi-View Channels. In: IEEE Transactions on Information Theory .

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Abstract

We investigate the fundamental limits of reliable communication over multi-view channels, in which the channel output is comprised of a large number of independent noisy views of a transmitted symbol. We consider first the setting of multi-view discrete memoryless channels and then extend our results to general multi-view channels (using multi-letter formulas). We argue that the channel capacity and dispersion of such multi-view channels converge exponentially fast in the number of views to the entropy and varentropy of the input distribution, respectively. We identify the exact rate of convergence as the smallest Chernoff information between two conditional distributions of the output, conditioned on unequal inputs. For the special case of the deletion channel, we compute upper bounds on this Chernoff information. Finally, we present a new channel model we term the Poisson approximation channel - of possible independent interest - whose capacity closely approximates the capacity of the multi-view binary symmetric channel for any fixed number of views. © 1963-2012 IEEE.

Item Type:	Journal Article
Publication:	IEEE Transactions on Information Theory
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to the Authors.
Keywords:	Channel capacity; Communication channels (information theory), Channel output; Chernoff information; Data storage; Discrete memoryless channels; DNA-based data storage; Information rates; Multi-view channel; Multi-views; Number of views; Reliable communication, Channel state information
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	29 Jan 2025 12:20
Last Modified:	29 Jan 2025 12:20
URI:	http://eprints.iisc.ac.in/id/eprint/87328

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