Fourier series continuous time periodic signals examples

1. How the continuous time periodic signals are represented using Fourier series give an example?
2. Can continuous time Fourier series on the periodic convolution?
3. What is the Fourier transform of a continuous time periodic signal?
4. What is Fourier series for periodic signals?

How the continuous time periodic signals are represented using Fourier series give an example?

Fourier Series Representation of Continuous Time Periodic Signals. A signal is said to be periodic if it satisfies the condition x (t) = x (t + T) or x (n) = x (n + N). These two signals are periodic with period T=2π/ω0. Where ak= Fourier coefficient = coefficient of approximation.

Can continuous time Fourier series on the periodic convolution?

1. Can continuous time fourier series undergo periodic convolution? Explanation: Continuous time fourier series undergoes periodic convolution.

What is the Fourier transform of a continuous time periodic signal?

Continuous time Fourier transform of x(t) is defined as X(ω)=∫−∞+∞x(t)e−jωtdt and discrete time Fourier transform of x(n) is defined as X(ω)=Σ∀nx(n)e−ωn.

What is Fourier series for periodic signals?

The Fourier series represents periodic, continuous-time signals as a weighted sum of continuous-time sinusoids. It is widely used to analyze and synthesize periodic signals. This lesson shows you how to compute the Fourier series coefficients, or weights, from the signal.