Maximum likelihood sequence estimation
Maximum likelihood sequence estimation (MLSE) is a mathematical algorithm to extract useful data out of a noisy data stream.
Theory
For an optimized detector for digital signals the priority is not to reconstruct the transmitter signal, but it should do a best estimation of the transmitted data with the least possible number of errors. The receiver emulates the distorted channel. All possible transmitted data streams are fed into this distorted channel model. The receiver compares the time response with the actual received signal and determines the most likely signal. In cases that are most computationally straightforward, root mean square deviation can be used as the decision criterion[1] for the lowest error probability.
Background
Suppose that there is an underlying signal {x(t)}, of which an observed signal {r(t)} is available. The observed signal r is related to x via a transformation that may be nonlinear and may involve attenuation, and would usually involve the incorporation of random noise. The statistical parameters of this transformation are assumed known. The problem to be solved is to use the observations {r(t)} to create a good estimate of {x(t)}.
See also
- Maximum likelihood
- Maximum a posteriori (MAP) Estimation, which is more complex and requires a known distribution
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References
- ^ G. Bosco, P. Poggiolini, and M. Visintin, "Performance Analysis of MLSE Receivers Based on the Square-Root Metric," J. Lightwave Technol. 26, 2098–2109 (2008)
Further reading
- Andrea Goldsmith (2005). "Maximum Likelihood Sequence Estimation". Wireless Communications. Cambridge University Press. pp. 362–364. ISBN 0521837162.
{{cite book}}: Unknown parameter|isnb13=ignored (help) - Philip Golden, Hervé Dedieu, and Krista S. Jacobsen (2006). Fundamentals of DSL Technology. CRC Press. pp. 319–321. ISBN 0849319137.
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External links
- W. Sauer-Greff, A. Dittrich, M. Lorang, and M. Siegrist (2001-04-16). "Maximum-Likelihood Sequence Estimation of Nonlinear Channels in High-Speed Optical Fiber Systems" (PDF). The Telecommunications Research Center Vienna.
{{cite web}}: CS1 maint: multiple names: authors list (link)
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