Sorry for the poor writing. :!:
Yes your are right but by point is : if the system have been fed by gaussian pulse so we can write in frequency domain Y=G*X with G the transfer function of the system and X the gaussian pulse's Fourier transform and X=H*I with H the dirac-to-gaussian transfer function (which is a gaussian, too) and I a constant corresponding to the Fourier transform of the dirac.
Therefore, I know H,I,X and Y and I just need G...the transfer function or its reciprocal, the impulse response! Voila
I have a measured truncated spectrum and I want to know the corresponding impulse response. How should I do?
I have only partial frequency domain data and I want to know the corresponding impulse response (which should we smoothed compared to the original one, see below)
I tried to multiply the signal in frequency domain with a window function but still funny results
Which is equivalent to low-passing the data...
I padded the resulting data with zeros and created the complex symmetric spectrum from these data to have a real signal when applying the ifft.
to ouptut real data, ifft needs complex symmetric data input.
:arrow: but trouble...
qualitatively the resulting impulse response is very wrong, the signal needs to be equal to 0 at t=0 and equal to 0 at t=1/Fs, how can I do that and keep meaningfull results.