Howtosignalprocessing
- Is multiplication in the time domain convolution in the frequency domain?
- How does convolution behave in time and frequency domain?
- Is convolution just multiplication?
- What happens to convolution in frequency domain?
Is multiplication in the time domain convolution in the 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.
How does convolution behave in time and frequency domain?
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.
Is convolution just multiplication?
Convolution is a simple multiplication in the frequency domain, and deconvolution is a simple division in the frequency domain.
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.
