![]() ![]() ![]() In Matlab, we can find the Fourier coefficients and plot the partial sums of the Fourier series using the techniques mentioned. Conclusionįourier series is used in mathematics to create new functions using sine and cosine waves. The complex form of the Fourier series can be written by the Euler formula,, as follows: where For a function periodic in, these become where In this paper, we give some properties of the periodic Bernoulli functions and study the Fourier series of the periodic Euler functions which are derived periodic functions from the Euler polynomials. Symsum (a (f, x, z, P) * cos (z * pi * x / P) + b (f, x, z, P) * sin (z * pi * x / P), z, 1, n) Īs we can see, we have the plot for our input straight line function and the 4 th partial sum of Fourier series. Our plot will also show the input absolute function.Ī = (f, x, z, P) int (f * cos (z * pi * x / P) / P, x,- P, P) Next, we will plot the partial sum for n = 4. Symsum (a (f, x, Z, P) * cos (z *pi * x / P) + b (f, x, z, P) * sin (z * pi * x / P), z, 1, n) įor this example, we will calculate the 2 nd partial sum of an absolute function.
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