On-line order selection for communications

We address the problem of on-line order determination for communications and show that the penalized partial likelihood criterion provides a suitable likelihood framework for the problem by allowing correlations among samples and online processing ability. An on-line, efficient order selection scheme is developed assuming that the observations can be modeled by a finite normal mixture model without imposing any additional conditions on the unknown system, such as linearity. Channel equalization by finite normal mixtures is considered as an example for which correct order determination is critical and examples are presented to show the application and effectiveness of the approach.

[1]  Xiao Liu,et al.  Conditional distribution learning with neural networks and its application to channel equalization , 1997, IEEE Trans. Signal Process..

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

[3]  Xiao Liu,et al.  A General Probabilistic Formulation for Supervised Neural Classifiers , 2000, J. VLSI Signal Process..

[4]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

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

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

[7]  Bo Wang,et al.  Partial likelihood for estimation of multi-class posterior probabilities , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[8]  W. Wong.  Theory of Partial Likelihood , 1986 .

[9]  Narasimhan Sundararajan,et al.  Communication channel equalization using complex-valued minimal radial basis function neural networks , 2002, IEEE Trans. Neural Networks.

[10]  Nando de Freitas,et al.  Sequential Monte Carlo for model selection and estimation of neural networks , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[11]  Tulay Adali,et al.  Sequential order selection for real time signal processing , 2000, Neural Networks for Signal Processing X. Proceedings of the 2000 IEEE Signal Processing Society Workshop (Cat. No.00TH8501).

[12]  Bernie Mulgrew,et al.  IEEE Workshop on Neural Networks for Signal Processing , 1995 .

[13]  Jean Pierre Delmas,et al.  Blind channel approximation: effective channel order determination , 1998, Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No.98CH36284).

[14]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..