Why do I get different signal after FFT?
I’m trying to rebuild a signal from the frequency, amplitude, and phase obtained after I do an fft of a signal, but when I try and combine the fft data (frequency, amplitude, and phase) back to see if I get a similar signal, the pattern is a little off. I think it has to do with my formula which may be a little incorrect.
How to reverse phases and magnitudes in Ifft?
After modifying the phases and magnitudes, to reverse them back into something suitable for the IFFT, you just need to undo these and convert each back into a rectangular complex number, using the formula: φ). where z is the resulting complex number, r is the magnitude, and φ is the phase.
How to get the original signal from two Mags?
You’d do this for each mag, phase pair in the two vectors, combining them back into a single vector of the original length, made up of complex numbers. Then feed this to the IFFT. If you hadn’t made any changes, it should return the original signal.
Do you have to re-implement Ifft when you don’t have to?
This is what the IFFT is for. Do your modifications to the spectrum, and then get them back into the form IFFT expects, and then do an IFFT. Don’t bother trying to re-implement the IFFT when you don’t have to. It will be slower and more error-prone.
How is the amplitude spectrum of FFT calculated?
The FFT function computes the complex DFT and the hence the results in a sequence of complex numbers of form. The amplitude spectrum is obtained For obtaining a double-sided plot, the ordered frequency axis (result of fftshift) is computed based on the sampling frequency and the amplitude spectrum is plotted.
What should the length of the FFT function be?
The FFT function computes -point complex DFT. The length of the transformation should cover the signal of interest otherwise we will some loose valuable information in the conversion process to frequency domain. However, we can choose a reasonable length if we know about the nature of the signal.
How to obtain a double-sided plot using FFT?
For obtaining a double-sided plot, the ordered frequency axis (result of fftshift) is computed based on the sampling frequency and the amplitude spectrum is plotted. 3b. Extract phase of frequency components (phase spectrum) Extracting the correct phase spectrum is a tricky business. I will show you why it is so.