# Fourier Series Representation Of Continuous Periodic Signals

Fourier series allows us to represent a non-sinusoidal periodic function as an infinite sum of sinusoidal functions.

Types of Fourier Series:

(a) Trigonometric or quadrature fourier series

(b) Polar fourier series :

(c) Exponential Series :

Exponential FS coefficient is Cn =

Properties of fourier series are given below:

1. Frequency shift: If then
2. Time shift:

1. Linearity:

then

1. Differentiation in time: If

then

1. Time Scaling:  then
2. Parsevelâ€™s power theorem :

then