Do Bounded Signals Have Bounded Amplitudes?

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There are many possible amplitudes and phases, or amplitude-modulations and frequency-modulations (AM and FM), that can generate a given signal. Of the many methods available for determining the AM and FM of a signal, some yield an unbounded AM for some magnitude-bounded signals (including the analytic signal method). The consequences of requiring a bounded AM given a bounded signal on the method used to determine the AM and FM are examined.

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