Frequency convolution property of fourier transform

1. What is convolution property of Fourier transform?
2. What is frequency convolution?
3. What is frequency shift property in Fourier transform?
4. What are the properties of the Fourier transform?

What is convolution property of Fourier transform?

The convolution theorem (together with related theorems) is one of the most important results of Fourier theory which is that the convolution of two functions in real space is the same as the product of their respective Fourier transforms in Fourier space, i.e. f ( r ) ⊗ ⊗ g ( r ) ⇔ F ( k ) G ( k ) .

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.

What is frequency shift property in Fourier transform?

Statement – Frequency shifting property of Fourier transform states that the multiplication of a time domain signal x(t) by an exponential (ejω0t) causes the frequency spectrum to be shifted by ω0.

What are the properties of the Fourier transform?

The important properties of Fourier transform are duality, linear transform, modulation property, and Parseval's theorem.