An Upper Bound on the Entropy of Constrained 2d Fields

Søren Forchhammer; Jørn Justesen

doi:10.1109/ISIT.1998.708656

An Upper Bound on the Entropy of Constrained 2d Fields

Søren Forchhammer, Jørn Justesen

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Abstract

An upper bound on the entropy of constrained 2D fields is presented. The constraints have to be symmetric in (at least) one of the two directions. The bound generalizes (in a weaker form) the bound of Calkin and Wilf (see SIAM Journal of Discrete Mathematics, vol.11, p.54-60, 1998) which is valid only for processes with symmetric transfer matrices. Results are given for constraints specified by run-length limits and minimum distance between pixels of the same color

Original language	English
Title of host publication	Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Number of pages	72
Place of Publication	Cambridge, MA, USA
Publisher	IEEE
Publication date	1998
ISBN (Print)	0-7803-5000-6
DOIs	https://doi.org/10.1109/ISIT.1998.708656
Publication status	Published - 1998
Event	Int'l. Symp. on Information Theory - Boston, Mass, USA Duration: 1 Jan 1998 → …

Conference

Conference	Int'l. Symp. on Information Theory
City	Boston, Mass, USA
Period	01/01/1998 → …

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Copyright: 1998 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

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title = "An Upper Bound on the Entropy of Constrained 2d Fields",

abstract = "An upper bound on the entropy of constrained 2D fields is presented. The constraints have to be symmetric in (at least) one of the two directions. The bound generalizes (in a weaker form) the bound of Calkin and Wilf (see SIAM Journal of Discrete Mathematics, vol.11, p.54-60, 1998) which is valid only for processes with symmetric transfer matrices. Results are given for constraints specified by run-length limits and minimum distance between pixels of the same color",

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N2 - An upper bound on the entropy of constrained 2D fields is presented. The constraints have to be symmetric in (at least) one of the two directions. The bound generalizes (in a weaker form) the bound of Calkin and Wilf (see SIAM Journal of Discrete Mathematics, vol.11, p.54-60, 1998) which is valid only for processes with symmetric transfer matrices. Results are given for constraints specified by run-length limits and minimum distance between pixels of the same color

AB - An upper bound on the entropy of constrained 2D fields is presented. The constraints have to be symmetric in (at least) one of the two directions. The bound generalizes (in a weaker form) the bound of Calkin and Wilf (see SIAM Journal of Discrete Mathematics, vol.11, p.54-60, 1998) which is valid only for processes with symmetric transfer matrices. Results are given for constraints specified by run-length limits and minimum distance between pixels of the same color

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M3 - Article in proceedings

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BT - Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on

PB - IEEE

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ER -

An Upper Bound on the Entropy of Constrained 2d Fields

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