Generalized Spatially-Coupled Parallel Concatenated Codes With Partial Repetition
| Autor: | Min Qiu, Xiaowei Wu, Jinhong Yuan, Alexandre Graell i Amat |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Signal Processing (eess.SP)
FOS: Computer and information sciences Information Theory (cs.IT) Computer Science - Information Theory FOS: Electrical engineering electronic engineering information engineering Electrical Engineering and Systems Science - Signal Processing Electrical and Electronic Engineering Computer Science::Information Theory |
| Zdroj: | IEEE Transactions on Communications. 70:5771-5787 |
| ISSN: | 1558-0857 0090-6778 |
| DOI: | 10.1109/tcomm.2022.3196686 |
| Popis: | A new class of spatially-coupled turbo-like codes (SC-TCs), dubbed generalized spatially coupled parallel concatenated codes (GSC-PCCs), is introduced. These codes are constructed by applying spatial coupling on parallel concatenated codes (PCCs) with a fraction of information bits repeated $q$ times. GSC-PCCs can be seen as a generalization of the original spatially-coupled parallel concatenated codes proposed by Moloudi et al. [2]. To characterize the asymptotic performance of GSC-PCCs, we derive the corresponding density evolution equations and compute their decoding thresholds. The threshold saturation effect is observed and proven. Most importantly, we rigorously prove that any rate-$R$ GSC-PCC ensemble with 2-state convolutional component codes achieves at least a fraction $1-\frac{R}{R+q}$ of the capacity of the binary erasure channel (BEC) for repetition factor $q\geq2$ and this multiplicative gap vanishes as $q$ tends to infinity. To the best of our knowledge, this is the first class of SC-TCs that are proven to be capacity-achieving. Further, the connection between the strength of the component codes, the decoding thresholds of GSC-PCCs, and the repetition factor are established. The superiority of the proposed codes with finite blocklength is exemplified by comparing their error performance with that of existing SC-TCs via computer simulations. Revised version, 36 pages, 10 figures, 4 tables. arXiv admin note: text overlap with arXiv:2105.00698 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|