Scaling Property in DFT

1. What is the scaling property?
2. What is scaling property of Fourier transform?
3. What is the scaling theorem?

What is the scaling property?

Statement – The time-scaling property of Fourier transform states that if a signal is expended in time by a quantity (a), then its Fourier transform is compressed in frequency by the same amount.

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 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).