Howtosignalprocessing
- What is the Fourier transform of the periodic signal?
- Is Fourier transform periodic?
- Why Fourier series is used for periodic signals?
- Is Fourier series applicable for periodic signals?
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 Fourier transform periodic?
In the study of Fourier series, the Fourier coefficients represent the amplitude of each harmonically-related sinusoid present in the Fourier series of a periodic function f. Similarly, the Fourier transform represents the amplitude and phase of every sinusoid present in a (possibly non-periodic) function f.
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.
Is Fourier series applicable for periodic signals?
The Fourier series is applicable only to the periodic signals i.e. the signals which repeat itself periodically over an interval from (−∞to∞)and it cannot be applied to non-periodic signals.
