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Shift Theorem
Theorem: For any
and any integer
,
Proof:
The shift theorem is often expressed in shorthand as
The shift theorem says that a delay in the time domain corresponds to
a linear phase term in the frequency domain. More specifically, a
delay of
samples in the time waveform corresponds to the linear
phase term
multiplying the spectrum, where
.7.14Note that spectral magnitude
is unaffected by a linear phase term. That is,
.
Subsections
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