FFT of a sine sweep

I have generate a sine sweep signal with start frequency of 10Hz and stop frequency of 200Hz for a period of 10 Seconds for peak to peak amplitude of 1V and DC offset of 0.5V. Sampling rate was 2000 samples/sec.

I did the FFT for this signal and I get the expected plateau in the frequency range of 10 Hz to 200 Hz. However I am not able to co-relate the amplitude of FFT and amplitude of input sine wave.

IS there a relation between them ?

Answer 1

[José Goulart]

Yes, there is.

In fact, the expression of the Fourier Transform for a linear sweep involves a constant of A/2, where A is the amplitude of the sweep.

For the complete expression, see Aldrige, 1992 - Mathematics of Linear Sweeps. Canadian Journal of Exploration Geophysics, vol. 28, no. 1, pp 62-68.