Multichannel Blind Identification and Estimation: From Subspace to Maximum Likelihood Methods

Abstract A review of recent blind channel estimation algorithms is presented. From the (second-order) moment-based methods to the maximum likelihood approaches, under both statistical and deterministic signal models, we outline basic ideas behind several new developments, the assumptions and identifiability conditions required by these approaches, and the algorithm characteristics and performances.

[1]  N. Seshadri,et al.  Joint data and channel estimation using fast blind trellis search techniques , 1990, [Proceedings] GLOBECOM '90: IEEE Global Telecommunications Conference and Exhibition.

[2]  Jr. G. Forney,et al.  The viterbi algorithm , 1973 .

[3]  Yingbo Hua,et al.  Performance analysis of a blind channel identification method based on second-order statistics , 1994, Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers.

[4]  H. Akaike A new look at the statistical model identification , 1974 .

[5]  E. Robinson PREDICTIVE DECOMPOSITION OF SEISMIC TRACES , 1957 .

[6]  Daniel Yellin,et al.  Blind identification of FIR systems excited by discrete-alphabet inputs , 1993, IEEE Trans. Signal Process..

[7]  Lang Tong,et al.  Connections between the least-squares and the subspace approaches to blind channel estimation , 1996, IEEE Trans. Signal Process..

[8]  A. Paulraj,et al.  Blind estimation of multiple co-channel digital signals using an antenna array , 1994, IEEE Signal Processing Letters.

[9]  Yingbo Hua,et al.  Strict identifiability of multiple FIR channels driven by an unknown arbitrary sequence , 1996, IEEE Trans. Signal Process..

[10]  Riccardo Raheli,et al.  Per-Survivor Processing: a general approach to MLSE in uncertain environments , 1995, IEEE Trans. Commun..

[11]  J. A. Catipovic,et al.  Algorithms for joint channel estimation and data recovery-application to equalization in underwater communications , 1991 .

[12]  C.R. Johnson,et al.  On the robustness of FIR channel identification from fractionally spaced received signal second-order statistics , 1996, IEEE Signal Processing Letters.

[13]  Chrysostomos L. Nikias,et al.  EVAM: an eigenvector-based algorithm for multichannel blind deconvolution of input colored signals , 1995, IEEE Trans. Signal Process..

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

[15]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[16]  D. Slock Blind joint equalization of multiple synchronous mobile users using oversampling and/or multiple antennas , 1994, Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers.

[17]  Babak Hossein Khalaj,et al.  Blind identification of FIR channels with multiple users via spatio-temporal processing , 1994, 1994 IEEE GLOBECOM. Communications: The Global Bridge.

[18]  Chrysostomos L. Nikias,et al.  An ML/MMSE estimation approach to blind equalization , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[19]  Philippe Loubaton,et al.  A subspace algorithm for certain blind identification problems , 1997, IEEE Trans. Inf. Theory.

[20]  Y. Hua,et al.  Source correlation compensation for blind channel identification based on second-order statistics , 1994, IEEE Signal Processing Letters.

[21]  Philippe Loubaton,et al.  Prediction error method for second-order blind identification , 1997, IEEE Trans. Signal Process..

[22]  Arogyaswami Paulraj,et al.  Blind separation of synchronous co-channel digital signals using an antenna array. I. Algorithms , 1996, IEEE Trans. Signal Process..

[23]  K. A. Meraim,et al.  Blind system identification using minimum noise subspace , 1996, Proceedings of 8th Workshop on Statistical Signal and Array Processing.

[24]  D. Titterington Recursive Parameter Estimation Using Incomplete Data , 1984 .

[25]  Hui Liu,et al.  Recent developments in blind channel equalization: From cyclostationarity to subspaces , 1996, Signal Process..

[26]  Yoram Bresler,et al.  Exact maximum likelihood parameter estimation of superimposed exponential signals in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[27]  Lang Tong,et al.  Blind channel identification based on second-order statistics: a frequency-domain approach , 1995, IEEE Trans. Inf. Theory.

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

[29]  Lawrence R. Rabiner,et al.  A tutorial on hidden Markov models and selected applications in speech recognition , 1989, Proc. IEEE.

[30]  Ruey-Wen Liu,et al.  Adaptive blind channel identification , 1996, Proceedings of ICC/SUPERCOMM '96 - International Conference on Communications.

[31]  Yingbo Hua,et al.  Fast maximum likelihood for blind identification of multiple FIR channels , 1996, IEEE Trans. Signal Process..

[32]  D. Donoho ON MINIMUM ENTROPY DECONVOLUTION , 1981 .

[33]  Zhi Ding,et al.  A non-parametric cepstral method for blind channel identification from cyclostationary statistics , 1993, Proceedings of MILCOM '93 - IEEE Military Communications Conference.

[34]  Lang Tong,et al.  A new approach to blind identification and equalization of multipath channels , 1991, [1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers.

[35]  Constantinos B. Papadias,et al.  Further results on blind identification and equalization of multiple FIR channels , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[36]  Sylvie Perreau,et al.  Reduced computation blind equalization for FIR channel input Markov models , 1995, Proceedings IEEE International Conference on Communications ICC '95.

[37]  Karim Abed-Meraim,et al.  Blind system identification using minimum noise subspace , 1996, Proceedings of 8th Workshop on Statistical Signal and Array Processing.

[38]  Georgios B. Giannakis,et al.  Asymptotically optimal blind fractionally spaced channel estimation and performance analysis , 1997, IEEE Trans. Signal Process..

[39]  Chrysostomos L. Nikias,et al.  A new eigenvector-based algorithm for multichannel blind deconvolution of input colored signals , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[40]  Shahid U. H. Qureshi,et al.  Reduced-state sequence estimation with set partitioning and decision feedback , 1988, IEEE Trans. Commun..

[41]  John B. Moore,et al.  On-line estimation of hidden Markov model parameters based on the Kullback-Leibler information measure , 1993, IEEE Trans. Signal Process..

[42]  Lang Tong,et al.  Blind channel estimation using the second-order statistics: algorithms , 1997, IEEE Trans. Signal Process..

[43]  J. Ord,et al.  Characterization Problems in Mathematical Statistics , 1975 .

[44]  D. Godard,et al.  Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data Communication Systems , 1980, IEEE Trans. Commun..

[45]  Sumit Roy,et al.  A new blind time-domain channel identification method based on cyclostationarity , 1994, IEEE Signal Processing Letters.

[46]  James L. Massey,et al.  Inverses of Linear Sequential Circuits , 1968, IEEE Transactions on Computers.

[47]  Dirk T. M. Slock,et al.  Blind fractionally-spaced equalization, perfect-reconstruction filter banks and multichannel linear prediction , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[48]  L. Baum,et al.  A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains , 1970 .

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

[50]  Ghassan Kawas Kaleh,et al.  Joint parameter estimation and symbol detection for linear or nonlinear unknown channels , 1994, IEEE Trans. Commun..

[51]  R. Wiggins Minimum entropy deconvolution , 1978 .

[52]  Zhi Ding,et al.  A blind channel identification algorithm based on matrix outer-product , 1996, Proceedings of ICC/SUPERCOMM '96 - International Conference on Communications.

[53]  Nambi Seshadri,et al.  Joint data and channel estimation using blind trellis search techniques , 1994, IEEE Trans. Commun..

[54]  Jerry M. Mendel,et al.  Identification of nonminimum phase systems using higher order statistics , 1989, IEEE Trans. Acoust. Speech Signal Process..

[55]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[56]  Graham C. Goodwin,et al.  Adaptive filtering prediction and control , 1984 .

[57]  Ehud Weinstein,et al.  Sequential algorithms for parameter estimation based on the Kullback-Leibler information measure , 1990, IEEE Trans. Acoust. Speech Signal Process..

[58]  Monisha Ghosh,et al.  Maximum-likelihood blind equalization , 1992 .

[59]  Richard E. Blahut Algebraic Methods for Signal Processing and Communications Coding , 1991 .