.mw-parser-output .hidden-begin{box-sizing:border-box;width:100%;padding:5px;border:none;font-size:95%}.mw-parser-output .hidden-title{font-weight:bold;line-height:1.6;text-align:left}.mw-parser-output .hidden-content{text-align:left}@media all and (max-width:500px){.mw-parser-output .hidden-begin{width:auto!important;clear:none!important;float:none!important))You can help expand this article with text translated from the corresponding article in German. (August 2020) Click [show] for important translation instructions. Machine translation, like DeepL or Google Translate, is a useful starting point for translations, but translators must revise errors as necessary and confirm that the translation is accurate, rather than simply copy-pasting machine-translated text into the English Wikipedia. Consider adding a topic to this template: there are already 9,155 articles in the main category, and specifying|topic= will aid in categorization. Do not translate text that appears unreliable or low-quality. If possible, verify the text with references provided in the foreign-language article. You must provide copyright attribution in the edit summary accompanying your translation by providing an interlanguage link to the source of your translation. A model attribution edit summary is Content in this edit is translated from the existing German Wikipedia article at [[:de:Burstfehler]]; see its history for attribution. You may also add the template ((Translated|de|Burstfehler)) to the talk page. For more guidance, see Wikipedia:Translation.

In telecommunication, 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

  1. ^ Federal Standard 1037C
  2. ^ 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.
  3. ^ 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.
  4. ^ Lemmon, J.J.: Wireless link statistical bit error model. US National Telecommunications and Information Administration (NTIA) Report 02-394 (2002)