Howtosignalprocessing
- What is the Fourier transform of periodic signals?
- What is a Fourier series representation of a period signal?
- How Aperiodic signals can be represented by Fourier transform?
- What is the discrete time Fourier series of a periodic impulse train of period n?
What is the Fourier transform of periodic signals?
X(jω)=jδ(ω−π3)+2δ(ω−π7)
What is a Fourier series representation of a period signal?
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.
How Aperiodic signals can be represented by Fourier transform?
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.
What is the discrete time Fourier series of a periodic impulse train of period n?
The Fourier Series Coefficient of a discrete time Periodic sequence is given by: c K = 1 N ∑ n = 0 N − 1 x ( n ) e − j 2 π k n N. Where N = Period of the sequence.
