NDLI: Truncated orthogonal expansions of recurrent signals: equivalence to a linear time-variant periodic filter

Content Provider	IEEE Xplore Digital Library
Author	Olmos, S. Garcia, J. Jane, R. Laguna, P.
Copyright Year	1991
Abstract	We show that orthogonal expansions of recurrent signals like electrocardiograms (ECGs) with a reduced number of coefficients is equivalent to a linear time-variant periodic filter. Instantaneous impulse and frequency responses are analyzed for two classical ways of estimating the expansion coefficients: inner product and adaptive estimation with the LMS algorithm. The obtained description as a linear time-variant periodic filter is a useful tool in order to quantify the distortion produced by the effect of using a reduced number of coefficients in the expansion, and to give frequency criteria to select the appropriate number of functions. Moreover, the misadjustment of the LMS algorithm can be explained as a distortion of the instantaneous frequency response. Experimental results are illustrated with the Karhunen-Loeve transform of ECG signals, but this approach can also be applied to any orthogonal transform.
Sponsorship	IEEE Signal Processing Society
Starting Page	3164
Ending Page	3172
Page Count	9
File Size	302438
File Format	PDF
ISSN	1053587X
Volume Number	47
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear filters Least squares approximation Signal analysis Algorithm design and analysis Fourier transforms Signal processing algorithms Frequency estimation Electrocardiography Data compression Signal representations
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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