# 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 *C _{n}* =

Properties of fourier series are given below:

**Frequency shift:**If then**Time shift:**

**Linearity:**

then

**Differentiation in time:**If

then

**Time Scaling:**then**Parsevelâ€™s power theorem :**

then