Frequency

Adding multiple time-domain signals with different FFT sizes

Adding multiple time-domain signals with different FFT sizes
  1. How do you multiply a frequency domain?
  2. What is overlap in FFT?
  3. What are the limitations of FFT?
  4. How do you normalize FFT?

How do you multiply a frequency domain?

We know that a convolution in the time domain equals a multiplication in the frequency domain. In order to multiply one frequency signal by another, (in polar form) the magnitude components are multiplied by one another and the phase components are added. NFFT = 32; freqdata1 = fft(Signal1,NFFT);

What is overlap in FFT?

FFT convolution uses the overlap-add method together with the Fast Fourier Transform, allowing signals to be convolved by multiplying their frequency spectra. For filter kernels longer than about 64 points, FFT convolution is faster than standard convolution, while producing exactly the same result.

What are the limitations of FFT?

A disadvantage associated with the FFT is the restricted range of waveform data that can be transformed and the need to apply a window weighting function (to be defined) to the waveform to compensate for spectral leakage (also to be defined). An alternative to the FFT is the discrete Fourier transform (DFT).

How do you normalize FFT?

Normalise the fft by dividing it by the length of the original signal in the time domain. Zero values within the signal are considered to be part of the signal, so 'non-zero samples' is inappropriate. The length to use to normalise the signal is the length before adding zero-padding.

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