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Analysis of packet errors in Gilbert-Elliott channels
Citation key HH-APEGEC-11
Author Ha├člinger, Gerhard and Hohlfeld, Oliver
Title of Book Proceedings of the 12th IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC '11)
Pages 216–220
Year 2011
ISBN 978-1-4244-9333-3
Online ISBN 978-1-4244-9331-9
ISSN 1948-3244
DOI http://dx.doi.org/10.1109/SPAWC.2011.5990398
Location San Francisco, CA, USA
Address New York, NY, USA
Month June
Publisher IEEE
Abstract 50 years ago, Gilbert and Elliott introduced 2-state Markov channels to characterize bursty error processes in data transmission. The focus of this work is on the analysis of the effect of bit errors on higher layer blocks or packets. Starting from 2-state bit error channels in an extended Gilbert-Elliott format, packet errors again result in a 2-state process of the same type. The parameters of the packet error process are explicitly derived from those of the underlying bit error process. The solution for main performance measures is based on a superposition of two geometrical functions for the distributions of packet error bursts and gaps and the second order statistics. Knowledge about the solution for 2-state channels is implicitly present in solutions for N-state Markov models by Turin et al, but which require a more complex factorization approach. The latter involves root finding algorithms for eigenvalues and eigenvectors and NxN linear boundary equations, going far beyond what is needed for a 2-state analysis. Conversely, analysis of Markov processes is excluded in other work on packet error evaluation due to the lack of simple solutions. Therefore the authors think it worthwhile to summarize the simple approach for popular 2-state channels.
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