Estimation & aproximate fourier coefficients

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.

Answer 1

[Sulaymon Eshkabilov]

(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