Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions
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Richmond, CD; Horowitz, LL
Published in: Conference Record - Asilomar Conference on Signals, Systems and Computers
December 1, 2012
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. © 2012 IEEE.
Duke Scholars
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Conference Record - Asilomar Conference on Signals, Systems and Computers
DOI
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1058-6393
Publication Date
December 1, 2012
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13 / 17
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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 - Asilomar Conference on Signals, Systems and Computers (pp. 13–17). https://doi.org/10.1109/ACSSC.2012.6488948
Richmond, C. D., and L. L. Horowitz. “Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions.” In Conference Record - Asilomar Conference on Signals, Systems and Computers, 13–17, 2012. 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 - Asilomar Conference on Signals, Systems and Computers. 2012. p. 13–7.
Richmond, C. D., and L. L. Horowitz. “Aspects of threshold region mean squared error prediction: Method of interval errors, bounds, Taylor's theorem and extensions.” Conference Record - Asilomar Conference on Signals, Systems and Computers, 2012, pp. 13–17. Scopus, doi: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. Conference Record - Asilomar Conference on Signals, Systems and Computers. 2012. p. 13–17.
Published In
Conference Record - Asilomar Conference on Signals, Systems and Computers
DOI
ISSN
1058-6393
Publication Date
December 1, 2012
Start / End Page
13 / 17