Guessing Revisited: A Large Deviations Approach

Hanawal, Manjesh Kumar and Sundaresan, Rajesh (2011) Guessing Revisited: A Large Deviations Approach. In: National Conference on Communications, Guwahati, INDIA, pp. 70-78.

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Abstract

The problem of guessing a random string is revisited. A close relation between guessing and compression is first established. Then it is shown that if the sequence of distributions of the information spectrum satisfies the large deviation property with a certain rate function, then the limiting guessing exponent exists and is a scalar multiple of the Legendre-Fenchel dual of the rate function. Other sufficient conditions related to certain continuity properties of the information spectrum are briefly discussed. This approach highlights the importance of the information spectrum in determining the limiting guessing exponent. All known prior results are then re-derived as example applications of our unifying approach.

Item Type:	Conference Paper
Publication:	IEEE TRANSACTIONS ON INFORMATION THEORY
Publisher:	IEEE
Additional Information:	Copyright 2011 IEEE. Personal use of this material is permitted.However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords:	Guessing;information spectrum;large deviations;length function;source coding
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	07 Apr 2011 10:13
Last Modified:	07 Apr 2011 10:13
URI:	http://eprints.iisc.ac.in/id/eprint/36031

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