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Generation of Innovative and Sparse Encoding Vectors for Broadcast Systems with Feedback

By Ho Yuet Kwan, Kenneth W. Shum and Chi Wan Sung

Abstract

In the application of linear network coding to wireless broadcasting with feedback, we prove that the problem of determining the existence of an innovative encoding vector is NP-complete when the finite field size is two. When the finite field size is larger than or equal to the number of users, it is shown that we can always find an encoding vector which is both innovative and sparse. The sparsity can be utilized in speeding up the decoding process. An efficient algorithm to generate innovative and sparse encoding vectors is developed. Simulations show that the delay performance of our scheme with binary finite field outperforms a number of existing schemes in terms of average and worst-case delay.Comment: 5 pages, 4 figures, accepted for publication in the Proc. of IEEE ISIT 201

Topics: Computer Science - Information Theory, Computer Science - Computational Complexity
Year: 2011
DOI identifier: 10.1109/ISIT.2011.6033715
OAI identifier: oai:arXiv.org:1102.3527
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