Fourier Transform Time Shift

Cuthbert Nyack
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.

Return to main page
Return to page index
COPYRIGHT 2010, 2012 Cuthbert Nyack.