# Estimation & aproximate fourier coefficients

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Part 1: Estimating the Values ​​of Ao, An, and Bn with Fourier Series (Discrete)
- Estimate the value of Ao, An, and Bn with the Fourier Series and display the results in tabular and graphical form. (*n = Total Data)
Part 2: Approximation with Fourier Series (Discrete)
- Perform Approximation based on Ao, An, and Bn with Fourier Series.
- Compare the Approximation Result Graph with Size Data and Calculate the RMSe Value.
- How many "n" you have to involve in order to get the function that best fits the result of the measure.

Sulaymon Eshkabilov on 1 Jan 2022
(1) Take a sample function or data to find estimated Fourier Series coeffs
(2) Call Curve Fitting Toolbox
(3) Obtain the coeff's A0 A1 A2 ...An and B1 B2 ... Bn
Here is a nice doc on curve fitting toolbox for such exercises: https://www.mathworks.com/help/curvefit/fourier.html
Or you can write a fcn file of your own. Here is an example code: https://www.mathworks.com/matlabcentral/fileexchange/31013-simple-real-fourier-series-approximation