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Title:Information Theoretic Limits for Secure Multimedia and Magnetic Recording
Author(s):Kiyavash, Negar
Doctoral Committee Chair(s):Blahut, Richard E.
Department / Program:Electrical and Computer Engineering
Discipline:Electrical and Computer Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Engineering, Electronics and Electrical
Abstract:The second part of this thesis addresses the problem of finding the capacity of two-dimensional (1, infinity) constrained channels for a binary alphabet. The Shannon capacity of a constrained channel is generalized to a notion of soft capacity which allows violations of the constraint. By drawing an analogy with an Ising array of the same geometry, it is proven that finding the soft capacity is equivalent to finding the partition function of the Ising model. Therefore, the problem of finding the capacity of a two-dimensional (1, infinity) constrained channel is reduced to the problem of finding an eigenvalue of a matrix.
Issue Date:2006
Type:Text
Language:English
Description:133 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
URI:http://hdl.handle.net/2142/80996
Other Identifier(s):(MiAaPQ)AAI3250272
Date Available in IDEALS:2015-09-25
Date Deposited:2006


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