Identification of linear time-variant systems without using prior information

We introduce a technique for identification of systems with arbitrarily time-variant responses from samples of their input and output signals, and without using any prior information about the dynamics of the unknown system response. Our technique uses only input-output data to determine the parameters that are required in the construction of an extended RLS estimator (as described in [3]) for the unknown system response. We demonstrate the utility of our approach via a numerical example.

[1]  Fuyun Ling,et al.  Optimal Tracking of Time-Varying Channels: A Frequency Domain Approach for Known and New Algorithms , 1995, IEEE J. Sel. Areas Commun..

[2]  Hanoch Lev-Ari,et al.  Identification of arbitrarily time-variant systems , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[3]  James R. Zeidler,et al.  Adaptive tracking of linear time-variant systems by extended RLS algorithms , 1997, IEEE Trans. Signal Process..

[4]  Hanoch Lev-Ari,et al.  Linear estimation of moments for non-stationary signals , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  Thomas Kailath,et al.  Consistent estimation of the cyclic autocorrelation , 1994, IEEE Trans. Signal Process..

[6]  Hanoch Lev-Ari,et al.  Optimized estimation of moments for nonstationary signals , 1997, IEEE Trans. Signal Process..