The Fourier Transform possesses the following properties: 1) Linearity. 2) Time shifting. 3) Conjugation and Conjugation symmetry. 4) Differentiation.
What is the principle of Fourier transform?
Fourier transform spectroscopy is a technique that uses interference of light rather than dispersion to measure the spectrum of a substance. The basis of this technique is the Fourier-pair relationship between the interferogram (interference function) of a substance and its spectrum.
What is the modulation property of Fourier transform?
Modulation and Demodulation. One of the important properties of Fourier Transform is that multiplying a signal by a complex exponential results in a shift in the frequency domain. When given signal and modulated frequency , the modulated signal is defined as: x g ( t ) = e j 2 π g t x ( t ) .