Mathematics

Forms of Fourier Series

 

Introduction

Forms of Fourier Series

1. Trigonometric Form 

2. Harmonic Form

3. Complex Exponential Form

Relationship Between The Fourier Series Forms

Odd and Even Functions

Power Content

 

Introduction

Any function f(t), which is periodic with period T, can be approached with the sum of an infinite number of sinusoidal and cosinusoidal terms, together with a constant term. This form of representation of a periodic function with trigonometric series is called Fourier Series:

Read more: Forms of FS

Origin of Fourier Series

 

You might wonder why the Fourier Series coefficients have the form they have. Consider the general case of trigonometric series:

Integrating we have:

Read more: Origin of F.S.