Estimation Theory and Other Topics in Statistical Signal Processing

N. Merhav and J. Ziv,
``On universally efficient estimation of the
firstorder
autoregressive parameter, and universal data compression,''
IEEE Trans. Inform. Theory
vol. 36, no. 6, pp. 12451254, November 1990.

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. 17091724, November 1992.

N. Merhav and C.H. Lee,
``A minimax classification approach
with application to
robust speech recognition,''
IEEE Trans. Speech and Audio Processing,
vol. SAP1, no. 1, pp. 90100, January 1993.

N. Merhav and C.H. Lee,
``On the asymptotic statistical behavior of
empirical cepstral coefficients,''
IEEE Trans. Signal Processing,
vol. SP41, no. 5, pp. 19901993, May 1993.

N. Merhav,
``Bounds on achievable convergence rates of
parameter estimators via universal coding,''
IEEE Trans. Inform. Theory, vol. 40, no. 4, pp. 12101215, July 1994.

Y. Ephraim, N. Merhav, and H. L. Van Trees,
``MinNorm interpretations and consistency of MUSIC, MODE and ML,''
IEEE Trans. Signal Processing, vol. SP43,
no. 12, pp. 29372942, December 1995.

D. Hirshberg and N. Merhav,
``Robust methods for model order
estimation,''
IEEE Trans. on Signal Processing,
vol. SP44, no. 3, pp. 620628, March 1996.

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. 20852093, November 1996.

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. 19311946, July 2004.

I. Hen and N. Merhav,
``On the threshold effect in the estimation of chaotic sequences,''
IEEE Trans. Inform. Theory, vol. 50, no. 11, pp. 28942904, November 2004.

Y. C. Eldar and N. Merhav,
``Robust linear estimation under a minimax MSEratio criterion,''
IEEE Trans. Signal
Processing, vol. 53, no. 4, pp. 13351347, April 2005.

G. Bukai and N. Merhav,
``Channel estimation using feedback,''
Proc. ISIT 2008, pp. 12431247, Toronto, Canada, July 2008.

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. 14001416,
March 2010.

N. Merhav,
``Optimum estimation via gradients of partition functions and
information measures: a statisticalmechanical perspective,''
IEEE Trans. on Inform. Theory, vol. 57, no. 6, pp.
pp.\ 38873898, June 2011.

N. Merhav,
``Threshold effects in parameter estimation as phase transitions in
statistical mechanics,''
IEEE Trans. on Inform. Theory,
vol. 57, no. 10, pp. 70007010, October 2011.

N. Merhav,
``On optimum strategies for minimizing exponential moments of a loss
function,'' Communications in
Information and Systems,
vol. 11, no. 4, pp. 343368, 2011.

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. 52875301, August
2012.

N. Merhav,
``On optimum parameter modulationestimation from a large deviations
perspective,''
IEEE Trans. Inform. Theory, vol. 58, no. 12, pp. 72157225,
December 2012.

N. Merhav,
``Exponential error bounds on parameter modulationestimation for discrete
memoryless channels,''
IEEE Trans. Inform. Theory,, vol. 60, no. 2, pp. 832841, February
2014.

W. Huleihel and N. Merhav,
``Analysis of mismatched estimation errors using gradients of partition
functions,''
IEEE Trans. Inform. Theory,, vol. 60, no. 4, pp. 21902216, April
2014.

W. Huleihel and N. Merhav,
``Asymptotic MMSE analysis under sparse representation modeling,''
Signal Processing, vol. 131, pp. 320332, February 2017.

N. Weinberger and N. Merhav,
``Lower bounds on parameter modulationestimation under bandwidth constraints,''
IEEE Trans. Inform. Theory,,
vol. 63, no. 6, pp. 38543874, June 2017.

A. Unsal, R. Knopp, and N. Merhav,
``Converse bounds on modulationestimation
performance for the Gaussian multipleaccess channel,''
submitted to IEEE Trans. Inform. Theory, September 2016.

N. Merhav,
``Lower bounds on exponential moments of the quadratic error in parameter
estimation,''
submitted to IEEE Trans. Inform. Theory, March 2017.

N. Merhav,
``Tradeoffs Between WeakNoise Estimation Performance and Outage Exponents
in Nonlinear Modulation,''
submitted to IEEE Trans. Inform. Theory, February 2018.