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Find the Fourier series of the given function (a) f(x) = 1, -π < x < π (b) f(x)= { 0, -2< x <0 ; 2x 0 ≤ x < 2(c) f(x) = { -x -1, -1 < x <0 ; 1 - x, 0 ≤ x < 1
11.1 and 11.2 Fourier Series Q1 Find the Fourier series of the given function f(x), which is assumed to have the period 2π. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x. Note: Plot the partial sum using MATLAB. Hint: Make use of your knowledge of the line equation to find f(x) from the given graph. -π 0 11.1 and 11.2 Fourier Series Q1 Find the Fourier series...
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x. 9. f(x) - 12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including...
2. Find the Fourier series for the periodic function defined by if 0
For the periodic function below find the as, a, and bi coefficients in the Fourier series expansion. (20 points) 0
Q#2 (22 points) (a) Find the Fourier series of the function by expanding the function as an odd periodic function with a period of 10 units, as shown in Figure below. Plot the first, second, third and fourth partial sums of this Fourier series between -5 to +5 (Matlab is preferable). There will be single graph with 4 plots (b) Draw the amplitude versus frequency spectrum for first four non-zero terms of the Fourier series. Note that y(t) for -5<t<...
find the Fourier series of the following signal -6 Find the Fourier series of the following signal? I 2 o 46
Question 1 Find the Fourier series representation of the periodic function below if p = 15 and q = 3. Then, evaluate the first few terms of the series up to n = 5 at x = 9.35. 9 -5 < x < 0 f(x)={p if 0<x<10 if f(x+20)= f(x) 9 10 < x <15
(2) Consider the function f(x)- 1 (a) Find the Fourier sine series of f (b) Find the Fourier cosine series of f. (c) Find the odd extension fodd of f. (d) Find the even extension feven of f. (e) Find the Fourier series of fod and compare it with your result -x on 0<a < 1. in (a) (f) Find the Fourier series of feven and compare it with your result in (b)
here the question and the anwser Find the Fourier series for the function f defined by 8. f(a) = and f(x) = f(x +21). (2n - 1)Tr 8, f(x) = 4+12 (2n-1)2 n=1