Editing Burst error (section)

==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&nbsp;''k''&nbsp;=&nbsp;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&nbsp;''h''&nbsp;=&nbsp;0.5.