The feedback capacity of the binary symmetric channel with a no-consecutive-ones input constraint

Oron Sabag; Haim H. Permuter; Navin Kashyap

doi:10.1109/ALLERTON.2015.7446999

The feedback capacity of the binary symmetric channel with a no-consecutive-ones input constraint

Oron Sabag, Haim H. Permuter, Navin Kashyap

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Scopus citations

Abstract

The binary symmetric channel (BSC) with feedback is considered, where the input sequence contains no consecutive ones, i.e., satisfies the (1,∞)-RLL constraint. In [1], the capacity of this setting was formulated as dynamic programming (DP); however, analytic expressions for capacity and optimal input distribution were left as an open problem. In this paper, we derive explicit expressions for both feedback capacity and optimal input distribution. The solution was obtained by using an equivalent DP and solving its corresponding Bellman equation. The feedback capacity also serves as an upper bound on the capacity of the input-constrained BSC channel without feedback, a problem that is still open.

Original language	English
Title of host publication	2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	160-164
Number of pages	5
ISBN (Electronic)	9781509018239
DOIs	https://doi.org/10.1109/ALLERTON.2015.7446999
State	Published - 4 Apr 2016
Externally published	Yes
Event	53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015 - Monticello, United States Duration: 29 Sep 2015 → 2 Oct 2015

Publication series

Name	2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015

Conference

Conference	53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015
Country/Territory	United States
City	Monticello
Period	29/09/15 → 2/10/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

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10.1109/ALLERTON.2015.7446999

Cite this

Sabag, O., Permuter, H. H., & Kashyap, N. (2016). The feedback capacity of the binary symmetric channel with a no-consecutive-ones input constraint. In 2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015 (pp. 160-164). Article 7446999 (2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ALLERTON.2015.7446999

Sabag, Oron ; Permuter, Haim H. ; Kashyap, Navin. / The feedback capacity of the binary symmetric channel with a no-consecutive-ones input constraint. 2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 160-164 (2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015).

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Sabag, O, Permuter, HH & Kashyap, N 2016, The feedback capacity of the binary symmetric channel with a no-consecutive-ones input constraint. in 2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015., 7446999, 2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015, Institute of Electrical and Electronics Engineers Inc., pp. 160-164, 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015, Monticello, United States, 29/09/15. https://doi.org/10.1109/ALLERTON.2015.7446999

The feedback capacity of the binary symmetric channel with a no-consecutive-ones input constraint. / Sabag, Oron; Permuter, Haim H.; Kashyap, Navin.
2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015. Institute of Electrical and Electronics Engineers Inc., 2016. p. 160-164 7446999 (2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Sabag O, Permuter HH, Kashyap N. The feedback capacity of the binary symmetric channel with a no-consecutive-ones input constraint. In 2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015. Institute of Electrical and Electronics Engineers Inc. 2016. p. 160-164. 7446999. (2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015). doi: 10.1109/ALLERTON.2015.7446999

The feedback capacity of the binary symmetric channel with a no-consecutive-ones input constraint

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