Fourier Series Calculator
to
Fourier Series:
Coefficients:
What is a Fourier Series?
A Fourier series is a way to represent a periodic function as an infinite sum of sine and cosine functions. It’s a powerful mathematical tool used in signal processing, physics, and engineering. The series decomposes complex periodic signals into simpler sinusoidal components, making it easier to analyze and manipulate them.
How to Calculate Fourier Series
Step 1
Enter your periodic function in the input field using standard mathematical notation (e.g., x^2, sin(x), etc.).
Step 2
Specify the interval over which you want to analyze the function. The default interval is [-π, π].
Step 3
Select the number of terms you want in your Fourier series expansion. More terms generally lead to better approximation.
Step 4
Review the results, which include:
- The complete Fourier series expansion
- Individual coefficients (a0, an, and bn)
- A graphical representation comparing the original function and the Fourier approximation