On the Bit Error Probability of Noisy Channel Networks With Intermediate Node Encoding
2008 (English)In: IEEE Transactions on Information Theory, ISSN 0018-9448, Vol. 54, no 11, 5188-5198 p.Article in journal (Refereed) Published
We investigate the calculation approach of the sink bit error probability (BEP) for a network with intermediate node encoding. The network consists, of statistically independent noisy channels. The main contributions are, for binary network codes, an error marking algorithm is given to collect the error weight (the number of erroneous bits). Thus, we can calculate the exact sink BEP from the channel BEPs. Then we generalize the approach to nonbinary codes. The coding scheme works on the Galois field 2(m), where m is a positive integer. To reduce computational complexity, a subgraph decomposition approach is proposed. In general, it can significantly reduce computational complexity, and the numerical result is also exact. For approximate results, we discuss the approach of only considering error events in a single channel. The results well approximate the exact results in low BEP regions with much lower complexity.
Place, publisher, year, edition, pages
2008. Vol. 54, no 11, 5188-5198 p.
Binary code, bit error probability, network coding, noisy channel, nonbinary code, subgraph decomposition
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-34299DOI: 10.1109/TIT.2008.929917ISI: 000260426400028ScopusID: 2-s2.0-55349089953OAI: oai:DiVA.org:kth-34299DiVA: diva2:420490
QC 201106012011-06-012011-06-012011-06-01Bibliographically approved