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Exponentials
The canonical form of an exponential function, as typically used in signal
processing, is
where
is called the time constant of the exponential.
is
the peak amplitude, as before. The time constant is the time it takes to decay
by
, i.e.,
A normalized exponential decay is depicted in Fig.4.7.
Figure 4.7:
The decaying exponential
, normalized to unit amplitude (
).

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