Signal Processing, Detection/Estimation Theory, and Parameter Modulation-Estimation
Signal Processing
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N. Merhav and C.-H. Lee,
``A minimax classification approach with application
to robust speech recognition,''
IEEE Trans. Speech and Audio Processing, vol.
SAP-1, no. 1, pp. 90-100, January 1993.
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N. Merhav and C.-H. Lee,
``On the asymptotic statistical behavior of
empirical cepstral coefficients,''
IEEE Trans. Signal Processing,
vol. SP-41, no. 5, pp. 1990-1993, May 1993.
Detection/Estimation Theory
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N. Merhav and J. Ziv,
``On universally efficient estimation of the
first-order
autoregressive parameter, and universal data compression,''
IEEE Trans. Inform. Theory
vol. 36, no. 6, pp. 1245-1254, November 1990.
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Y. Ephraim and N. Merhav,
``Lower and upper bounds on the minimum
mean square error
in composite source signal estimation,''
IEEE Trans. Inform. Theory,
vol. 38, no. 6, pp. 1709-1724, November 1992.
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N. Merhav,
``Bounds on achievable convergence rates of
parameter estimators via universal coding,''
IEEE Trans. Inform. Theory, vol. 40, no. 4, pp. 1210-1215, July 1994.
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Y. Ephraim, N. Merhav, and H. L. Van Trees,
``Min-Norm interpretations and consistency of MUSIC, MODE and ML,''
IEEE Trans. Signal Processing, vol. SP-43,
no. 12, pp. 2937-2942, December 1995.
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D. Hirshberg and N. Merhav,
``Robust methods for model order
estimation,''
IEEE Trans. on Signal Processing,
vol. SP-44, no. 3, pp. 620-628, March 1996.
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J. Stein, J. Ziv, and N. Merhav,
``Universal delay estimation for discrete channels,''
IEEE Trans. on Inform. Theory, vol. 42, Part II,
no. 6, pp. 2085-2093, November 1996.
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Y. C. Eldar and N. Merhav,
``A competitive minimax approach to robust estimation in linear models,''
IEEE Trans. Signal Processing, vol. 52, no. 7, pp. 1931-1946, July 2004.
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I. Hen and N. Merhav,
``On the threshold effect in the estimation of chaotic sequences,''
IEEE Trans. Inform. Theory, vol. 50, no. 11, pp. 2894-2904, November 2004.
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Y. C. Eldar and N. Merhav,
``Robust linear estimation under a minimax MSE-ratio criterion,''
IEEE Trans. Signal
Processing, vol. 53, no. 4, pp. 1335-1347, April 2005.
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G. Bukai and N. Merhav,
``Channel estimation using feedback,''
Proc. ISIT 2008, pp. 1243-1247, Toronto, Canada, July 2008.
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N. Merhav, D. Guo, and S. Shamai (Shitz),
``Statistical physics of signal estimation in Gaussian noise:
theory and examples of phase transitions,''
IEEE Trans. on Inform. Theory, vol. 56, no. 3, pp. 1400-1416,
March 2010.
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N. Merhav,
``Optimum estimation via gradients of partition functions and
information measures: a statistical-mechanical perspective,''
IEEE Trans. on Inform. Theory, vol. 57, no. 6, pp.
pp.\ 3887--3898, June 2011.
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N. Merhav,
``On optimum strategies for minimizing exponential moments of a loss
function,'' Communications in
Information and Systems,
vol. 11, no. 4, pp. 343-368, 2011.
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W. Huleihel and N. Merhav,
``Analysis of mismatched estimation errors using gradients of partition
functions,''
IEEE Trans. Inform. Theory,, vol. 60, no. 4, pp. 2190-2216, April
2014.
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W. Huleihel and N. Merhav,
``Asymptotic MMSE analysis under sparse representation modeling,''
Signal Processing, vol. 131, pp. 320-332, February 2017.
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N. Merhav,
``Lower bounds on exponential moments of the quadratic error in parameter
estimation,''
IEEE Trans. Inform. Theory, vol. 64, no. 12, pp. 7636-7648,
December 2018.
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N. Merhav,
``Optimal correlators for detection and estimation in optical receivers,''
IEEE Trans. Inform. Theory, vol. 67, no. 8, pp. 5200-5210, August
2021.
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N. Merhav,
``Optimal correlators and waveforms for mismatched detection,''
IEEE Trans. Inform. Theory,
vol. 68, no. 12, pp.
8342-8354, December 2022.
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Y. Marciano and N. Merhav,
``Optimal signals and detectors based on correlation and energy,''
submitted for publication, May 2024.
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N. Merhav,
``Two new families of local asymptotically minimax lower bounds in parameter
estimation,'' Entropy, 2024, 26(11), 944;
https://doi.org/10.3390/e26110944 November 4, 2024.
Parameter Modulation and Estimation
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N. Merhav,
``Threshold effects in parameter estimation as phase transitions in
statistical mechanics,''
IEEE Trans. on Inform. Theory,
vol. 57, no. 10, pp. 7000-7010, October 2011.
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N. Merhav,
``Data processing inequalities based on a certain structured class
of information measures with application to estimation theory,''
IEEE Trans. Inform. Theory, vol. 58, no. 8, pp. 5287-5301, August
2012.
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N. Merhav,
``On optimum parameter modulation-estimation from a large deviations
perspective,''
IEEE Trans. Inform. Theory, vol. 58, no. 12, pp. 7215-7225,
December 2012.
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N. Merhav,
``Exponential error bounds on parameter modulation-estimation for discrete
memoryless channels,''
IEEE Trans. Inform. Theory,, vol. 60, no. 2, pp. 832-841, February
2014.
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N. Weinberger and N. Merhav,
``Lower bounds on parameter modulation-estimation under bandwidth constraints,''
IEEE Trans. Inform. Theory,,
vol. 63, no. 6, pp. 3854-3874, June 2017.
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A. Unsal, R. Knopp, and N. Merhav,
``Converse bounds on modulation-estimation
performance for the Gaussian multiple-access channel,''
IEEE Trans. Inform. Theory, vol. 64, no. 2, pp. 1217-1230, February
2018.
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N. Merhav,
``Trade-offs between weak-noise estimation performance and outage exponents
in nonlinear modulation,''
IEEE Trans. Inform. Theory, vol. 65, no. 8, pp. 5189-5196,
August 2019.
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N. Merhav,
``Weak-noise modulation-estimation of vector parameters,''
IEEE Trans. Inform. Theory, vol. 66, no. 5, p. 3268-3276, May 2020.
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N. Merhav,
``Parameter estimation based on noisy chaotic
signals in the weak-noise regime,''
IEEE Trans. Inform. Theory, vol. 70, no. 8, pp. 6107-6117, August 2024.
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A. Khina and N. Merhav,
``Modulation and estimation with a helper,''
IEEE Trans. Inform. Theory. vol. 70, no. 9, pp. 6189-6210, September 2024.