Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions

Christ D. Richmond; Larry L. Horowitz

doi:10.1109/ACSSC.2012.6488948

Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions

Christ D. Richmond, Larry L. Horowitz

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

The method of interval errors (MIE) predicts mean-squared error (MSE) performance at low signal-to-noise ratios (SNR) where global errors dominate. It is algorithm specific and enabled by an estimate of asymptotic MSE performance and sidelobe error probabilities. Parameter bounds are adequate representations of the asymptotic MSE in absence of signal model mismatch, but Taylor theorem can account for this mismatch. Herein limitations of bounds versus Taylor's theorem to represent the asymptotic MSE of nonlinear schemes like maximum-likelihood are discussed. Use of first-order Taylor expansions for the purpose of improved approximation of sidelobe error probability is likewise explored.

Original language	English (US)
Title of host publication	Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
Pages	13-17
Number of pages	5
DOIs	https://doi.org/10.1109/ACSSC.2012.6488948
State	Published - Dec 1 2012
Externally published	Yes
Event	46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012 - Pacific Grove, CA, United States Duration: Nov 4 2012 → Nov 7 2012

Publication series

Name	Conference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)	1058-6393

Other

Other	46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
Country/Territory	United States
City	Pacific Grove, CA
Period	11/4/12 → 11/7/12

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

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10.1109/ACSSC.2012.6488948

Cite this

Richmond, C. D., & Horowitz, L. L. (2012). Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions. In Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012 (pp. 13-17). Article 6488948 (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2012.6488948

Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions. / Richmond, Christ D.; Horowitz, Larry L.
Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012. 2012. p. 13-17 6488948 (Conference Record - Asilomar Conference on Signals, Systems and Computers).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Richmond, CD & Horowitz, LL 2012, Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions. in Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012., 6488948, Conference Record - Asilomar Conference on Signals, Systems and Computers, pp. 13-17, 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012, Pacific Grove, CA, United States, 11/4/12. https://doi.org/10.1109/ACSSC.2012.6488948

Richmond CD, Horowitz LL. Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions. In Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012. 2012. p. 13-17. 6488948. (Conference Record - Asilomar Conference on Signals, Systems and Computers). doi: 10.1109/ACSSC.2012.6488948

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Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions

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