In telecommunication, a burst error or error burst is a contiguous sequence of symbols, received over a data transmission 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.
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 bits or more. The parameter m should be specified when describing an error burst.
The Gilbert–Elliott model is a simple channel model introduced by Edgar Gilbert and E. O. Elliott  widely used for describing burst error patterns in transmission channels, that 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, 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.
- Federal Standard 1037C
- Gilbert, E. N. (1960), "Capacity of a burst-noise channel", Bell System Technical Journal 39: 1253–1265, doi:10.1002/j.1538-7305.1960.tb03959.x.
- Elliott, E. O. (1963), "Estimates of error rates for codes on burst-noise channels", Bell System Technical Journal 42: 1977–1997, doi:10.1002/j.1538-7305.1963.tb00955.x.
- Lemmon, J.J.: Wireless link statistical bit error model. US National Telecommunications and Information Administration (NTIA) Report 02-394 (2002)
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