Fourier antitransform using scaling property?

1. What is scaling property of Fourier transform?
2. What are the properties of Fourier transform?
3. What is the scaling theorem?
4. What is the modulation property of Fourier transform?

What is scaling property of Fourier transform?

Time Scaling

If a function is expanded in time by a quantity a, the Fourier Transform is compressed in frequency by the same amount.

What are the properties of Fourier transform?

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

What is the scaling theorem?

in the time domain, you ``squeeze'' its Fourier transform by the same factor in the frequency domain. This is an important general Fourier duality relationship. is any nonzero real number (the abscissa stretch factor).

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 ) .