Howtosignalprocessing
- What is the Fourier transform of the periodic signal?
- Is the Fourier transform periodic?
- Why Fourier series is used for periodic signals?
- What is periodic function in Fourier series?
What is the Fourier transform of the periodic signal?
The Fourier transform of periodic signals can be found using the concept of impulse function. Hence, The Fourier transform of a periodic function consists of a series of equally spaced impulses and these impulse are located at the harmonic frequencies of the signal.
Is the Fourier transform periodic?
The Discrete Fourier Transform is always periodic, but we usually focus only on what's inside the Nyquist window and ignore the periodic copies outside.
Why Fourier series is used for periodic signals?
Fourier series is just a means to represent a periodic signal as an infinite sum of sine wave components. A periodic signal is just a signal that repeats its pattern at some period. The primary reason that we use Fourier series is that we can better analyze a signal in another domain rather in the original domain.
What is periodic function in Fourier series?
Fourier Analysis for Periodic Functions
A function is periodic of period L if f(x+L) = f(x) for all x in the domain of f. The smallest positive value of L is called the fundamental period.
