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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Elishco, O. Meyerovitch, T. Schwartz, M. |
| Copyright Year | 2015 |
| Description | Author affiliation: Dept. of Math., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel (Meyerovitch, T.) || Electr. & Comput. Eng., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel (Elishco, O.; Schwartz, M.) |
| 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 error-correcting 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 error. Finally, we consider delicate issues involving the continuity of the capacity and a relaxation of the definition of semiconstrained systems. |
| Starting Page | 246 |
| Ending Page | 250 |
| File Size | 137520 |
| Page Count | 5 |
| File Format | |
| ISSN | 21578117 |
| e-ISBN | 9781467377041 |
| DOI | 10.1109/ISIT.2015.7282454 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2015-06-14 |
| Publisher Place | China |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Decoding Markov processes Channel coding Convergence Upper bound Capacity planning |
| Content Type | Text |
| Resource Type | Article |
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