#### edmont

##### Newbie level 6

frequency yet same amplitude of 1.

I used a pure sine wave sin(2*pi*t*a) , where the multiplier 'a'

determines the period , and hence frequency of the wave.

Now examining the fft, the peak does indeed shift as expected,

the amplitude however doesn't quite behave as expected.

For a pure sine , in the analog world, the Fourier Transform doesn't

change amplitude with frequency .

The fft amplitude almost follows the equation 0.5-0.4*(w^1.8).

What is the actual relationship ?