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The previous example is an instance of the following general result:
That is, the signal energy in the first
samples of the
minimum-phase case is at least as large as any other causal signal
having the same magnitude spectrum. (See [60]
for a proof outline.) Thus, minimum-phase signals are maximally
concentrated toward time 0 when compared against all causal signals
having the same magnitude spectrum. As a result of this property,
minimum-phase signals are sometimes called minimum-delay
signals.
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