Recursive Levenberg-Marquardt Per-Tone Equalisation for Discrete Multitone systems

Recursive Levenberg-Marquardt (RLM) algorithm is presented for per-tone equalisers in discrete multitone systems. We introduce how to formulate the proposed RLM algorithm for non-linear adaptive filter. Simulation results show that the proposed RLM algorithm can improve bit rate performance and Signal to Noise Ratio improvement as compared to the existing recursive least squares-based algorithms and matched filter bound.

[1]  Jonas Sjöberg,et al.  Efficient training of neural nets for nonlinear adaptive filtering using a recursive Levenberg-Marquardt algorithm , 2000, IEEE Trans. Signal Process..

[2]  John M. Cioffi,et al.  A Discrete Multitone Transceiver System for HDSL Applications , 1991, IEEE J. Sel. Areas Commun..

[3]  Marc Moonen,et al.  Combined RLS-LMS initialization for per tone equalizers in DMT-receivers , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[4]  Marc Moonen,et al.  RLS-based initialization for per tone equalizers in DMT-receivers , 2000, 2000 10th European Signal Processing Conference.

[5]  Stefanos Kollias,et al.  An adaptive least squares algorithm for the efficient training of artificial neural networks , 1989 .

[6]  Suchada Sitjongsataporn,et al.  An Adaptive Step-size Order Statistic Time Domain Equaliser for Discrete Multitone Systems , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[7]  Pierre Priouret,et al.  Adaptive Algorithms and Stochastic Approximations , 1990, Applications of Mathematics.

[8]  Miguel Pinzolas,et al.  Neighborhood based Levenberg-Marquardt algorithm for neural network training , 2002, IEEE Trans. Neural Networks.

[9]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[10]  Robert Baldemair,et al.  A time-domain equalizer minimizing intersymbol and intercarrier interference in DMT systems , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[11]  Marc Moonen,et al.  Per tone equalization for DMT-based systems , 2001, IEEE Trans. Commun..

[12]  Jorge J. Moré,et al.  The Levenberg-Marquardt algo-rithm: Implementation and theory , 1977 .

[13]  Luc Vandendorpe,et al.  Equalization for DMT based broadband modems , 2000 .

[14]  Dimitry Gorinevsky,et al.  An algorithm for on-line parametric nonlinear least square optimization , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[15]  Brian L. Evans,et al.  Equalization for discrete multitone transceivers to maximize bit rate , 2001, IEEE Trans. Signal Process..

[16]  P. Odling,et al.  The cyclic prefix of OFDM/DMT - an analysis , 2002, 2002 International Zurich Seminar on Broadband Communications Access - Transmission - Networking (Cat. No.02TH8599).

[17]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[18]  Svante Gunnarsson On Covariance Modification and Regularization in Recursive Least Squares Identification , 1994 .

[19]  Marc Moonen,et al.  Adaptive bit rate maximizing time-domain equalizer design for DMT-based systems , 2006, IEEE Transactions on Signal Processing.