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Content Provider | IET Digital Library |
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Author | Chen, Kai Niu, Kai Lin, Jia Ru |
Abstract | Channel polarisation results are extended to the case of communications over parallel channels, where the channel state information is known to both the encoder and decoder. Given a set of parallel binary-input discrete memoryless channels (B-DMCs), by performing the channel polarising transformation over independent copies of these component channels, we obtain a second set of synthesised binary-input channels. Similar to the single-channel case, we prove that as the size of the transformation goes infinity, some of the resulting channels tend to completely noised, and the others tend to noise-free, where the fraction of the latter approaches the average symmetric capacity of the underlying component channels. For finite-length polar coding over parallel channels, performance is found to be relied heavily on the specific channel-mapping scheme. To avoid exhaustive searching, an empirically good scheme that is called equal-capacity partition channel mapping is proposed and numerical results show that the proposed scheme significantly outperforms random mapping. Further, utilising the above results, a polar coding method for arbitrary code length is proposed, which has potential applications in practical systems. |
Starting Page | 620 |
Ending Page | 627 |
Page Count | 8 |
ISSN | 17518628 |
Volume Number | 7 |
e-ISSN | 17518636 |
Issue Number | Issue 7, May (2013) |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-com/7/7 |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-com.2012.0428 |
Journal | IET Communications |
Access Restriction | Open |
Rights Holder | © Crown Copyright |
Subject Keyword | Average Symmetric Capacity B-DMC Binary-input Channel Synthesis Channel Capacity Channel Coding Channel Polarisation Channel Polarising Transformation Channel State Information Code Component Channel Decoder Encoder Equal-capacity Partition Channel Mapping Finite-length Polar Coding Information Theory Noise-free Channel Parallel Binary-input Discrete Memoryless Channel Parallel Channel Parallel Processing Practical Polar Code Construction Single-channel Case |
Content Type | Text |
Resource Type | Article |
Subject | Electrical and Electronic Engineering Computer Science Applications |
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