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Blahut, Richard E. Kiyavash, Negar 2015-09-25T20:09:09Z 2015-09-25T20:09:09Z 10000-01-01 2006 2006 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. Made available in DSpace on 2015-09-25T20:09:09Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3250272.pdf: 2846058 bytes, checksum: efac740f2d385c95b79d5050f4ef0749 (MD5) Previous issue date: 2006 Embargo set by: Seth Robbins for item 82278 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 133 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006. http://hdl.handle.net/2142/80996 (MiAaPQ)AAI3250272 eng Engineering, Electronics and Electrical Information Theoretic Limits for Secure Multimedia and Magnetic Recording text Electrical and Computer Engineering Electrical and Computer Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.