NDLI: DSP-based correction of spectrograms using cubic splines and Kalman filtering

Content Provider	IEEE Xplore Digital Library
Author	Brouard, P. Morawski, R.Z. Barwicz, A.
Copyright Year	1994
Description	Author affiliation: Dept. d'Ingenierie, Quebec Univ., Trois-Rivieres, Que., Canada (Brouard, P.)
Abstract	Raw spectrograms are subject to systematic errors of an instrumental type that may be reduced provided a mathematical model of the instrumental imperfections is identified. It is assumed in the paper that this model has the form of an integral, convolution-type equation of the first kind whose kernel may be causal or not. The correction of the spectrograms consists in numerically solving this equation on the basis of the noisy data. Acquired by a spectrometer. An algorithm of correction is proposed which is based on the approximation of the solution with a spline function whose parameters are determined by means of a recursive Kalman-filter-based algorithm with a non-negativity constraint imposed on the set of feasible solutions. It is shown, using spectrophotometric data, that an improvement in the resolution of the spectrometer can be attained.
Starting Page	1443
Ending Page	1446
File Size	336245
Page Count	4
File Format	PDF
ISBN	0780318803
DOI	10.1109/IMTC.1994.352168
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-05-10
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Spectrogram Kalman filters Spectroscopy Approximation algorithms Seismic measurements Instruments Integral equations Distortion measurement Signal processing algorithms Digital signal processing
Content Type	Text
Resource Type	Article

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