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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Tal, I. Vardy, A. |
| Copyright Year | 2011 |
| Description | Author affiliation: University of California San Diego, La Jolla, 92093, USA (Tal, I.; Vardy, A.) |
| Abstract | We describe a successive-cancellation list decoder for polar codes, which is a generalization of the classic successive-cancellation decoder of Arikan. In the proposed list decoder, up to L decoding paths are considered concurrently at each decoding stage. Simulation results show that the resulting performance is very close to that of a maximum-likelihood decoder, even for moderate values of L. Thus it appears that the proposed list decoder bridges the gap between successive-cancellation and maximum-likelihood decoding of polar codes. The specific list-decoding algorithm that achieves this performance doubles the number of decoding paths at each decoding step, and then uses a pruning procedure to discard all but the L “best” paths. In order to implement this algorithm, we introduce a natural pruning criterion that can be easily evaluated. Nevertheless, straightforward implementation still requires O(L · $n^{2})$ time, which is in stark contrast with the O(n log n) complexity of the original successive-cancellation decoder. We utilize the structure of polar codes to overcome this problem. Specifically, we devise an efficient, numerically stable, implementation taking only O(L · n log n) time and O(L · n) space. |
| Starting Page | 1 |
| Ending Page | 5 |
| File Size | 456303 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781457705960 |
| ISSN | 21578117 |
| e-ISBN | 9781457705953 |
| e-ISBN | 9781457705946 |
| DOI | 10.1109/ISIT.2011.6033904 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-07-31 |
| Publisher Place | Russia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Arrays Maximum likelihood decoding Complexity theory Equations Error analysis Mathematical model |
| Content Type | Text |
| Resource Type | Article |
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