IFFT of signal after transfer functions have been applied

Question

Nerma Caluk 2022-9-22

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https://ww2.mathworks.cn/matlabcentral/answers/1809745-ifft-of-signal-after-transfer-functions-have-been-applied

回答： Chunru 2022-9-22

I have data points of a signal having a specific unit over time intervals, onto which I need to apply transfer functions for filtering. I have first computed the Fourier Transform of the signal and generated frequnecies based on the sampling interval:

Y = fft(SPZ);

f = Fs*(0:length(Y)-1)/length(Y);

w = 2*pi*f;

Then I have ran the omegas (w) through the Transfer Functions.

Since I am in a need of a time-domain signal after filter application, I am required to do the IFFT of the cleaned signal. Hence, why I proceeded as follows:

Y_corr = Y./Tf'; % Tf - values after ran through Transfer Functions

However, conducting the IFFT of Y_corr gives me all NaN values.

Furthermore, if I multiply Y by Tf, I get only half of the signal (Picutre attached) but the units are very confusing then.

I think I am missing something or plugging in something wrong, but I do not know why.

Thank You for your help!