burst error
{{short description|Contiguous sequence of errors occurring in a communications channel}}
{{expand German|date=August 2020}}
In telecommunications, a burst error or error burst is a contiguous sequence of symbols, received over a communication channel, such that the first and last symbols are in error and there exists no contiguous subsequence of m correctly received symbols within the error burst.{{citation|title=Federal Standard 1037C|url=http://www.its.bldrdoc.gov/fs-1037/fs-1037c.htm}} The integer parameter m is referred to as the guard band of the error burst. The last symbol in a burst and the first symbol in the following burst are accordingly separated by m correct symbols or more. The parameter m should be specified when describing an error burst.
Channel model
The Gilbert–Elliott model is a simple channel model introduced by Edgar Gilbert{{citation|last=Gilbert|first=E. N.|author-link=Edgar Gilbert|title=Capacity of a burst-noise channel|journal=Bell System Technical Journal|volume=39|year=1960|issue=5|pages=1253–1265|doi=10.1002/j.1538-7305.1960.tb03959.x}}. and E. O. Elliott {{citation|last=Elliott|first=E. O.|title=Estimates of error rates for codes on burst-noise channels|journal=Bell System Technical Journal|volume=42|year=1963|issue=5|pages=1977–1997|doi=10.1002/j.1538-7305.1963.tb00955.x}}. that is widely used for describing burst error patterns in transmission channels and enables simulations of the digital error performance of communications links. It is based on a Markov chain with two states G (for good or gap) and B (for bad or burst). In state G the probability of transmitting a bit correctly is k and in state B it is h. Usually,Lemmon, J.J.: Wireless link statistical bit error model. US National Telecommunications and Information Administration (NTIA) Report 02-394 (2002) it is assumed that k = 1. Gilbert provided equations for deriving the other three parameters (G and B state transition probabilities and h) from a given success/failure sequence. In his example, the sequence was too short to correctly find h (a negative probability was found) and so Gilbert assumed that h = 0.5.
See also
References
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External links
- {{web archive |url=https://web.archive.org/web/20200729154043/https://www.net.t-labs.tu-berlin.de/papers/HH-GEMPLRTSI-08.pdf |title=The Gilbert-Elliott Model for Packet Loss in Real Time Services on the Internet}}
- {{web archive |url=https://web.archive.org/web/20200727052953/http://bnrg.cs.berkeley.edu/~adj/publications/paper-files/winet01.pdf |title=A Markov-Based Channel Model Algorithm for Wireless Networks}}
- [http://www.wirelesscommunication.nl/reference/chaptr03/fading/gilbert.htm The two-state model for a fading channel]