Random Linear Network Coding for Time-Division Duplexing: Field Size Considerations
Name
Lucani-2009-Random Linear Network Coding for Time-Division Duplexing Field Size Considerations.pdf
Size
195.62 KB
Format
Adobe PDF
Checksum (MD5)
e99a23a4a78336165a9d791fb445249f
Author(s)
Medard, Muriel
Lucani, Daniel Enrique
Stojanovic, Milica
Date Issued
November 2009
Citation
Lucani, D.E., M. Medard, and M. Stojanovic. “Random Linear Network Coding for Time-Division Duplexing: Field Size Considerations.” Global Telecommunications Conference, 2009. GLOBECOM 2009. IEEE. 2009. 1-6. ©2009 IEEE.
Version
Final published version
Abstract
We study the effect of the field size on the performance of random linear network coding for time division duplexing channels proposed in [1]. In particular, we study the case of a node broadcasting to several receivers. We show that the effect of the field size can be included in the transition probabilities of the Markov chain model of the system. Also, an improved upper bound on the mean number of coded packets required to decode M original data packets using random linear network coding is presented. This bound shows that even if the field size is 2, i.e. we perform XORs amongst randomly selected packets from the pool of M original ones, we will need on average at most M + 2 coded packets in order to decode. Thus, there will be only a very small degradation in performance if M is large. We present numerical results showing that the mean completion time of our scheme with a field size of 2 is close in performance to our scheme when we use larger field sizes. We also show that as M increases, the difference between using a field size of 2 and larger field sizes decreases. Finally, we show that we can get very close to the optimal performance with small field sizes, e.g. a field size of 4 or 8, even when M is not very large.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Research Laboratory of Electronics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/GLOCOM.2009.5425257
