Robust M-periodogram

A maximum likelihood-type M-periodogram is developed for observations contaminated by impulse random errors having unknown heavy-tailed error distributions. The periodogram is defined as being a squared amplitude of a harmonic signal fitting the observations with, a nonquadratic residual loss function given by the Huber's (1981) minimax robust statistics.

[1]  G. Giannakis Filterbanks for blind channel identification and equalization , 1997, IEEE Signal Processing Letters.

[2]  T. Kailath,et al.  A least-squares approach to blind channel identification , 1995, IEEE Trans. Signal Process..

[3]  Björn E. Ottersten,et al.  Sensor array processing based on subspace fitting , 1991, IEEE Trans. Signal Process..

[4]  Björn E. Ottersten,et al.  Comments on "Min-norm interpretations and consistency of MUSIC, MODE, and ML" , 1998, IEEE Trans. Signal Process..

[5]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[6]  Xianda Zhang,et al.  Determination of the MA order of an ARMA process using sample correlations , 1993, IEEE Trans. Signal Process..

[7]  Yakov Z. Tsypkin,et al.  Robust identification , 1980, Autom..

[8]  Georgios B. Giannakis,et al.  Transmitter induced cyclostationarity for blind channel equalization , 1997, IEEE Trans. Signal Process..

[9]  John A. C. Bingham,et al.  Theory and Practice of Modem Design , 1988 .

[10]  Lang Tong,et al.  Blind identification and equalization based on second-order statistics: a time domain approach , 1994, IEEE Trans. Inf. Theory.

[11]  Philippe Loubaton,et al.  Blind equalization in the presence of jammers and unknown noise: solutions based on second-order cyclostationary statistics , 1998, IEEE Trans. Signal Process..

[12]  Georgios B. Giannakis,et al.  Blind channel identification and equalization with modulation-induced cyclostationarity , 1998, IEEE Trans. Signal Process..

[13]  L. Tong Identifiability of minimal, stable, rational, causal systems using second-order output cyclic spectra , 1995, IEEE Trans. Autom. Control..

[14]  Ye Li,et al.  ARMA system identification based on second-order cyclostationarity , 1994, IEEE Trans. Signal Process..

[15]  Neri Merhav,et al.  Min-norm interpretations and consistency of MUSIC, MODE and ML , 1995, IEEE Trans. Signal Process..

[16]  P. Loubaton,et al.  Blind second-order identification of FIR channels: forced cyclostationarity and structured subspace method , 1997, IEEE Signal Process. Lett..

[17]  C. L. Nikias,et al.  Signal processing with alpha-stable distributions and applications , 1995 .

[18]  P. J. Huber Robust Regression: Asymptotics, Conjectures and Monte Carlo , 1973 .

[19]  G.B. Giannakis,et al.  Performance analysis of blind channel estimators based on non-redundant periodic modulation precoders , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[20]  Eric Moulines,et al.  Subspace methods for the blind identification of multichannel FIR filters , 1995, IEEE Trans. Signal Process..

[21]  Peter J. Rousseeuw,et al.  Robust Regression and Outlier Detection , 2005, Wiley Series in Probability and Statistics.