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Separation of system dynamics and line spectra via sparse representation

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3 Author(s)
Lipeng Ning ; Dept. of Electrical and Comp. Eng., University of Minnesota, Minneapolis, USA ; Tryphon T. Georgiou ; Allen Tannenbaum

The purpose of this work is to explore the use of sparse representation in the context of system identification and, in particular, to address the important problem of identifying spectral lines in the presence of colored noise. To this end we formulate an ℓ1 optimization problem, similar to Lasso, to incorporate an AR-model that accounts for the noise-color dynamics with contribution of sinusoids drawn out of an over-complete basis (dictionary). A suitable generalization for correlated time series sharing common components is also considered.

Published in:

49th IEEE Conference on Decision and Control (CDC)

Date of Conference:

15-17 Dec. 2010