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I am very confused on how to start this problem, would highly appreciate some help!
Consider the function
f(x)= 0, -1≤x≤0
2x, 0≤x≤1.
The Fourier series coefficients for this function are given by [a][/0]=0.5, and for k=1, 2, 3,...
[a][/k]=(2((-1)^k-1))/(k∏)^2 and [/k]=(2(-1)^(k+1))/k∏
.
Write a Matlab program to obtain three Figures:
(a) Figure 1 must contain a plot of the function f(x).
(b) Figure 2 must contain four subplots, arranged in a 2 X 2 grid. Each subplot must contain a plot of ,[g][/N](x)
one for each value of N= 1, 3, 7, 20.
(c) Figure 3 must contain a plot of f(x), and ,[g][/N](x) for N= 1, 3, 7, 20, all superimposed. Use a suitable
legend to identify the five plots in the figure.
In each case, make sure you use a suitable title, and labels for the axes. Pick at least 100 points from the interval
[-1, 10] so that you get a smooth looking plot.
Consider the function
f(x)= 0, -1≤x≤0
2x, 0≤x≤1.
The Fourier series coefficients for this function are given by [a][/0]=0.5, and for k=1, 2, 3,...
[a][/k]=(2((-1)^k-1))/(k∏)^2 and [/k]=(2(-1)^(k+1))/k∏
.
Write a Matlab program to obtain three Figures:
(a) Figure 1 must contain a plot of the function f(x).
(b) Figure 2 must contain four subplots, arranged in a 2 X 2 grid. Each subplot must contain a plot of ,[g][/N](x)
one for each value of N= 1, 3, 7, 20.
(c) Figure 3 must contain a plot of f(x), and ,[g][/N](x) for N= 1, 3, 7, 20, all superimposed. Use a suitable
legend to identify the five plots in the figure.
In each case, make sure you use a suitable title, and labels for the axes. Pick at least 100 points from the interval
[-1, 10] so that you get a smooth looking plot.