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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
editThe 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
editReferences
edit- ^ Federal Standard 1037C
- ^ Gilbert, E. N. (1960), "Capacity of a burst-noise channel", Bell System Technical Journal, 39 (5): 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 (5): 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)
External links
edit- The Gilbert-Elliott Model for Packet Loss in Real Time Services on the Internet at the Wayback Machine (archived 2020-07-29)
- A Markov-Based Channel Model Algorithm for Wireless Networks at the Wayback Machine (archived 2020-07-27)
- The two-state model for a fading channel