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. Your sawtooth waveform is periodic with a time period of T 0. 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. f(x) 1 2a0 + k 1akcos(kx ) + bksin(kx ), where, for simplicity, we assume that the function is defined on interval. 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) Previously, we discussed expansion a real-valued integrable function f ( x) into trigonometric Fourier series. 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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