## Effect of Frequency Scaling:

The Inverse Fourier Transform of Y(w) = X(cw) is y(t) = |1/c| x(t/c).
Therefore the time signal corresponding to the frequency scaled spectra

|Y(w)| = |X(cw)|

<Y(w) = <X(cw)
is

y(t) = |1/c| x(t/c)

Compare the magnitude spectrum of X(w) with the
scaled magnitude spectrum of Y(w) = X(2w)

and the phase spectrum of X(w) with the scaled phase
spectrum of Y(w) = X(2w)

to the corresponding time signals

x(t) = e^{-t}u(t)

y(t) = (1/2)x(t/2) = (1/2)e^{-t/2}u(t/2)
= (1/2)e^{-t/2}u(t)

return to Magnitude and Phase Spectra page