About the Multiplication Property of the continuous-time Fourier transform
The multiplication property of the continuous-time Fourier transform can be stated as follows:
Multiplication Property:
The Fourier transform of a product of signals
$ x(t) y(t) $
is given by the convolution
$ \frac{1}{2 \pi} X(\omega) Y(\omega) $.
- This property is the basis for signal modulation, a concept studied in ECE (e.g., ECE301).
