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TIT
2016

Semiconstrained Systems

4 years 3 months ago
Semiconstrained Systems
Abstract—When transmitting information over a noisy channel, two approaches are common: assuming the channel errors are independent of the transmitted content and devising an errorcorrecting code, or assuming the errors are data dependent and devising a constrained-coding scheme that eliminates all offending data patterns. In this paper we analyze a middle road, which we call a semiconstrained system. In such a model, which is an extension of the channel with cost constraints, we do not eliminate the error-causing sequences entirely, but rather restrict the frequency in which they appear. We address several key issues in this study. The first is proving closed-form bounds on the capacity which allow us to bound the asymptotics of the capacity. In particular, we bound the rate at which the capacity of the semiconstrained (0, k)-RLL tends to 1 as k grows. The second key issue is devising efficient encoding and decoding procedures that asymptotically achieve capacity with vanishing er...
Ohad Elishco, Tom Meyerovitch, Moshe Schwartz
Added 11 Apr 2016
Updated 11 Apr 2016
Type Journal
Year 2016
Where TIT
Authors Ohad Elishco, Tom Meyerovitch, Moshe Schwartz
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