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| Content Provider | IET Digital Library |
|---|---|
| Author | Khonsari, Hossein Okpotse, Toritseju Valipour, Mehrdad Yousefi, Shahram |
| Abstract | This study introduces a novel framework and analysis tool to monitor the evolution of the ripple size during the Luby-transform (LT) decoding process. It provides a closed-form probability expression to statistically describe the behaviour of the ripple size at each step of the decoding. The probability function is conditioned on the size of the ripple in the previous step, the number of recovered source symbols and the encoded symbols' degree distribution. The authors further derive a closed-form expression for the ripple size after new encoded symbols are received by a decoder with an empty ripple. This relates to the activation of belief propagation decoding attempts once premature terminations occur. They validate their analyses through numerical examples of an LT-coded system. The results show that their analyses precisely coincide with the numerical results. |
| Starting Page | 1686 |
| Ending Page | 1693 |
| Page Count | 8 |
| ISSN | 17518628 |
| Volume Number | 12 |
| e-ISSN | 17518636 |
| Issue Number | Issue 14, Aug (2018) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-com/12/14 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-com.2017.1352 |
| Journal | IET Communications |
| Publisher Date | 2018-05-02 |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Belief Propagation Decoding Closed-form Expression Closed-form Probability Expression Code Decoder Decoding Encoded Symbols Luby-transform Decoding Process Probability Recovered Source Symbols Ripple Size Evolution Statistics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electrical and Electronic Engineering Computer Science Applications |
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