Operator basis for analytic signal construction

Authors:
Frederick W. King
Affiliations:
Department of Chemistry, University of Wisconsin-Eau Claire, Eau Claire, USA 54702
Venue:
Multidimensional Systems and Signal Processing
Year:
2008

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Abstract

The operator basis for one-dimensional analytical signal construction is considered. Why the Hilbert transform plays a fundamental role is clarified. Extension to the case of multidimensional signals is considered. Possible ramifications for the definition of a fractional analytic signal are discussed.