Calculation of the local cross-correlation function on the basis of the Laguerre transform

A simple and computationally efficient mechanism for calculating a running or local cross-correlation function of two time-domain signals is presented. In order to obtain a running cross-correlation function, the signals must be windowed. It is argued that an appropriate window for a local cross cor...

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Bibliographic Details
Published in:IEEE transactions on signal processing 1993-05, Vol.41 (5), p.1980-1982
Main Author: den Brinker, A.C.
Format: Article
Language:English
Subjects:
Adaptive filters
Applied sciences
Current measurement
Exact sciences and technology
Filtering
Information, signal and communications theory
Mathematical methods
Shape
Signal processing
Telecommunications and information theory
Time domain analysis
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Summary:A simple and computationally efficient mechanism for calculating a running or local cross-correlation function of two time-domain signals is presented. In order to obtain a running cross-correlation function, the signals must be windowed. It is argued that an appropriate window for a local cross correlation is an exponential function. To obtain a computationally efficient mechanism, the windowed functions are decomposed in a series of orthogonal functions. The set or orthogonal functions is matched to the chosen window and is a Laguerre-Fourier series. The cross correlation of the windowed functions is equal to a weighted summation of cross-correlated pattern functions. The weights are determined by cross correlating the Laguerre coefficients.< >
ISSN:1053-587X
1941-0476
DOI:10.1109/78.215320