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Fourier series, image, image, image - Coggle Diagram
Fourier series
Applications
Processing
Signal Processing
Image Processing
Heat Distribution Mapping
Wave Simplification
Radiation measurements
Analysis
Circuit Analysis
Signal Analysis
Form
with
A0
An
Bn
How to solve a Fourier series?
Step 1: Multiply the given function by sine or cosine, then integrate
Step 2: Estimate for n=0, n=1, etc., to get the value of coefficients.
Step 3: Finally, substituting all the coefficients in Fourier formula.
Common Functions
Square Wave
Triangle Wave
Sawtooth Wave
What are we talking about?
A Fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines.
It's extremely useful as a way to break up an arbitrary periodic function into a set of simple terms that can be plugged in, solved individually, and then recombined to obtain the solution to the original problem or an approximation to it to whatever accuracy is desired or practical