In
telecommunications
Telecommunication, often used in its plural form or abbreviated as telecom, is the transmission of information over a distance using electronic means, typically through cables, radio waves, or other communication technologies. These means of ...
, a burst error or error burst is a contiguous
sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is cal ...
of symbols, received over a
communication channel
A communication channel refers either to a physical transmission medium such as a wire, or to a logical connection over a multiplexed medium such as a radio channel in telecommunications and computer networking. A channel is used for infor ...
, such that the first and last symbols are in
error
An error (from the Latin , meaning 'to wander'Oxford English Dictionary, s.v. “error (n.), Etymology,” September 2023, .) is an inaccurate or incorrect action, thought, or judgement.
In statistics, "error" refers to the difference between t ...
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 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 and E. O. Elliott 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
In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally ...
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,
[Lemmon, J.J.: Wireless link statistical bit error model. US National Telecommunications and Information Administration (NTIA) Report 02-394 (2002)] 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
*
Burst error-correcting code
References
External links
*
* {{web archive , url=https://web.archive.org/web/20200727052953/http://bnrg.cs.berkeley.edu/~adj/publications/paper-files/winet01.pdf , title=A Markov-Based Channel Model Algorithm for Wireless Networks
The two-state model for a fading channel
Markov models
Data transmission