Do Bounded Signals Have Bounded Amplitudes?

Authors:
Patrick J. Loughlin
Affiliations:
Dept. of Electrical Engineering, University of Pittsburgh, Pittsburgh, PA 15261
Venue:
Multidimensional Systems and Signal Processing - Special issue on recent developments in time-frequency analysis
Year:
1998

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Abstract

There are many possible amplitudesand phases, or amplitude-modulations and frequency-modulations(AM and FM), that can generate a given signal. Of the many methodsavailable for determining the AM and FM of a signal, some yieldan unbounded AM for some magnitude-bounded signals (includingthe analytic signal method). The consequences of requiring abounded AM given a bounded signal on the method used to determinethe AM and FM are examined.