Howtosignalprocessing
- What is the Fourier transform of Aperiodic signal?
- Can you perform Fourier series on Aperiodic signal?
- Is the Fourier transform of a periodic signal periodic?
- Why Fourier transform is used for non periodic signals?
What is the Fourier transform of Aperiodic signal?
The Fourier transform is defined and is evaluated for all standard aperiodic signals such as exponential signal, rectangular pulse, triangular pulse, etc. The IFT of some standard signals such as sinc function is also discussed. The use of Dirac Delta function is explained for evaluation of FT for periodic signals.
Can you perform Fourier series on Aperiodic signal?
Fourier Transform can work on Aperiodic Signals. Fourier Transform is an infinite sum of infinitesimal sinusoids. Fourier Transform has an inverse transform, that allows for conversion from the frequency domain back to the time domain.
Is the Fourier transform of a periodic signal periodic?
The Fourier series can be used to analyse only the periodic signals, while the Fourier transform can be used to analyse both periodic as well as non-periodic functions.
Why Fourier transform is used for non periodic signals?
You can't define an aperiodic signal on an interval of finite length (if you try, you'll lose information about the signal), so one must use the Fourier transform for such a signal.
