Burst error: Difference between revisions
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{{short description|Contiguous sequence of errors occurring in a communications channel}} | {{short description|Contiguous sequence of errors occurring in a communications channel}} | ||
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 transmission|burst]].<ref>{{citation|title=Federal Standard 1037C|url=http://www.its.bldrdoc.gov/fs-1037/fs-1037c.htm}}</ref> 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. | 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 transmission|burst]].<ref>{{citation|title=Federal Standard 1037C|url=http://www.its.bldrdoc.gov/fs-1037/fs-1037c.htm}}</ref> 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. | ||
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==Channel model== | ==Channel model== | ||
The '''Gilbert–Elliott model''' is a simple [[channel model]] introduced by [[Edgar Gilbert]]<ref>{{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}}.</ref> and E. O. Elliott <ref>{{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}}.</ref> 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,<ref>Lemmon, J.J.: Wireless link statistical bit error model. US National Telecommunications and Information Administration (NTIA) Report 02-394 (2002)</ref> it is assumed that | The '''Gilbert–Elliott model''' is a simple [[channel model]] introduced by [[Edgar Gilbert]]<ref>{{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}}.</ref> and E. O. Elliott <ref>{{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}}.</ref> 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,<ref>Lemmon, J.J.: Wireless link statistical bit error model. US National Telecommunications and Information Administration (NTIA) Report 02-394 (2002)</ref> 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 == | == See also == | ||
Latest revision as of 17:17, 11 September 2025
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.[1] 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[2] and E. O. Elliott [3] 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,[4] 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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