Frequency

Convolution in frequency domain, what is the output bandwidth

Convolution in frequency domain, what is the output bandwidth
  1. What happens to convolution in frequency domain?
  2. What is the bandwidth of a frequency signal?
  3. Is convolution just multiplication in frequency domain?
  4. What is frequency convolution?

What happens to convolution in frequency domain?

The inverse transform of a convolution in the frequency domain returns a product of time-domain functions. If these equations seem to match the standard identities and convolution theorem used for time-domain convolution, this is not a coincidence.

What is the bandwidth of a frequency signal?

The bandwidth of a signal is defined as the difference between the upper and lower frequencies of a signal generated. As seen from the above representation, Bandwidth (B) of the signal is equal to the difference between the higher or upper-frequency (fH) and the lower frequency (fL).

Is convolution just multiplication in 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.

What is frequency convolution?

Statement - The frequency convolution theorem states that the multiplication of two signals in time domain is equivalent to the convolution of their spectra in the frequency domain.

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