Fourier Transform Time Shift
The above eqns show the relation between the Fourier
Transform of a function and
the time shifted function.
Fn = 1 shows a pulse of width 2T and shown in yellow in the applet
below and delayed by a variable amount t.
The magnitude (red curve) of the spectrum remains constant but the phase (
green curve) changes.
The real and imaginary parts of the spectrum
are shown as the cyan
and pink curves respectively.
Pulse shape can be changed by a and b.
Fn = 1 to 16 show special cases Fn = 1.
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COPYRIGHT © 2010, 2012 Cuthbert Nyack.