edmont
Newbie level 6

To determine the response of the fft to a sinusoidal of increasing
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 ?
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 ?