A Nonlinear $M$-Estimation Approach to Robust Asynchronous Multiuser Detection in Non-Gaussian Noise

A nonlinear M-estimation approach is proposed to solve the multiuser detection problem in asynchronous code-division multiple-access (CDMA) systems where the ambient noise is impulsive and the delays are not known. We treat the unknown delays as nuisance parameters and the transmitted symbols as parameters of interest. We also analyze the asymptotic performance of the proposed estimator and propose suboptimal but computationally efficient procedures for solving the nonlinear optimization function. Simulation results show considerable improvements over the conventional approaches

[1]  Torsten Söderström,et al.  Large sample properties of separable nonlinear least squares estimators , 2004, IEEE Transactions on Signal Processing.

[2]  Craig K. Rushforth,et al.  Parameter estimation in a multi-user communication system , 1994, IEEE Trans. Commun..

[3]  David Middleton,et al.  Non-Gaussian Noise Models in Signal Processing for Telecommunications: New Methods and Results for Class A and Class B Noise Models , 1999, IEEE Trans. Inf. Theory.

[4]  Sergio Verdu,et al.  Multiuser Detection , 1998 .

[5]  David Middleton,et al.  Statistical-Physical Models of Electromagnetic Interference , 1977, IEEE Transactions on Electromagnetic Compatibility.

[6]  V. Yohai,et al.  ASYMPTOTIC BEHAVIOR OF M-ESTIMATORS FOR THE LINEAR MODEL , 1979 .

[7]  Abdelhak M. Zoubir,et al.  Multiuser Detection in Heavy Tailed Noise , 2002, Digit. Signal Process..

[8]  Sergio Verdú,et al.  Near-far resistance of multiuser detectors in asynchronous channels , 1990, IEEE Trans. Commun..

[9]  Jinde Wang.  Asymptotics of least-squares estimators for constrained nonlinear regression , 1996 .

[10]  A. Wald.  Note on the Consistency of the Maximum Likelihood Estimate , 1949 .

[11]  Edwin K. P. Chong,et al.  Distributions of the output MAI of linear MMSE multiuser receivers in DS-CDMA systems , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[12]  P. Green.  Iteratively reweighted least squares for maximum likelihood estimation , 1984 .

[13]  Venugopal V. Veeravalli,et al.  MMSE detection in asynchronous CDMA systems: an equivalence result , 2002, IEEE Trans. Inf. Theory.

[14]  Ronald A. Iltis.  A DS-CDMA tracking mode receiver with joint channel/delay estimation and MMSE detection , 2001, IEEE Trans. Commun..

[15]  Xiaodong Wang,et al.  Performance of blind and group-blind multiuser detectors , 2002, IEEE Trans. Inf. Theory.

[16]  Ercan E. Kuruoglu.  Nonlinear least lp-norm lters for nonlinear autoregressive-stable processes , 2002 .

[17]  H. Vincent Poor,et al.  Blind Multiuser Detection: A Subspace Approach , 1998, IEEE Trans. Inf. Theory.

[18]  Craig K. Rushforth,et al.  Joint signal detection and parameter estimation in multiuser communications , 1993, IEEE Trans. Commun..

[19]  H. Vincent Poor,et al.  Robust multiuser detection in non-Gaussian channels , 1999, IEEE Trans. Signal Process..

[20]  Ercan E. Kuruoglu,et al.  Nonlinear Least lp-Norm Filters for Nonlinear Autoregressive alpha-Stable Processes , 2002, Digit. Signal Process..

[21]  Leonard E. Miller,et al.  NASA systems engineering handbook , 1995 .

[22]  Stefan Parkvall,et al.  Propagation delay estimation in asynchronous direct-sequence code-division multiple access systems , 1996, IEEE Trans. Commun..

[23]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[24]  H. Vincent Poor,et al.  Probability of error in MMSE multiuser detection , 1997, IEEE Trans. Inf. Theory.

[25]  Edwin K. P. Chong,et al.  Output MAI distributions of linear MMSE multiuser receivers in DS-CDMA systems , 2001, IEEE Trans. Inf. Theory.

[26]  Ronald A. Iltis,et al.  An adaptive multiuser detector with joint amplitude and delay estimation , 1994, IEEE J. Sel. Areas Commun..

[27]  Stefan Parkvall,et al.  Improved MUSIC algorithm for estimation of time delays in asynchronous DS-CDMA systems , 1997, Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136).

[28]  Jana Jurečková,et al.  Robust Statistical Procedures: Asymptotics and Interrelations , 1996 .

[29]  Changbao Wu,et al.  Asymptotic Theory of Nonlinear Least Squares Estimation , 1981 .

[30]  D. Ruppert,et al.  A Note on Computing Robust Regression Estimates via Iteratively Reweighted Least Squares , 1988 .

[31]  B. Ripley,et al.  Robust Statistics , 2018, Encyclopedia of Mathematical Geosciences.

[32]  Theodore S. Rappaport,et al.  Measurements and Models of Radio Frequency Impulsive Noise for Indoor Wireless Communications , 1993, IEEE J. Sel. Areas Commun..

[33]  D. Ruppert.  Robust Statistics: The Approach Based on Influence Functions , 1987 .

[34]  J. Wolfowitz.  On Wald's Proof of the Consistency of the Maximum Likelihood Estimate , 1949 .

[35]  C. Sidney Burrus,et al.  Iterative reweighted least-squares design of FIR filters , 1994, IEEE Trans. Signal Process..