QUESTION 3: A periodic saw-tooth waveform as shown in Figure 1 can be represented by the following Fourier series. y M)=?r(-1) -1 n 2 sin(x)=sin(x)---sir T -sin(2x)+... 141. 2TT ... X Figure 1 Create a plot that illustrates the construction of a sawtooth wave using the first 2, 3, and 4 terms of the Fourier series for 0 ≤ x ≤ 6n (i.e., your plot should have 3 curves that become successively better approximations of the sawtooth wave). Label all the axes, include gridlines and a legend in your plot. Change the axis limits so that the x-axis ranges from 0 to 67 and the y-axis ranges from -2 to +2, and change the line width to 1.5 for all three curves. X Hint: type "help plot" in the Command Window, scroll down and see the example for changing line width.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
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QUESTION 3: A periodic saw-tooth waveform as shown in Figure 1 can be represented by the
following Fourier series.
2
y(x) = ² (-1)^" sin(x) = ² sin(x)---sin(2x)+...
20 (-1)″*¹
π n=1
n
T
T
HAA.
1...
2TT
-1
TT
X
Figure 1
Create a plot that illustrates the construction of a sawtooth wave using the first 2, 3, and 4 terms of the
Fourier series for 0 ≤ x ≤ 6n (i.e., your plot should have 3 curves that become successively better
approximations of the sawtooth wave). Label all the axes, include gridlines and a legend in your
plot. Change the axis limits so that the x-axis ranges from 0 to 67 and the v-axis ranges from -2
to +2, and change the line width to 1.5 for all three curves.
I
Hint: type "help plot" in the Command Window, scroll down and see the example for changing line
width.
Transcribed Image Text:QUESTION 3: A periodic saw-tooth waveform as shown in Figure 1 can be represented by the following Fourier series. 2 y(x) = ² (-1)^" sin(x) = ² sin(x)---sin(2x)+... 20 (-1)″*¹ π n=1 n T T HAA. 1... 2TT -1 TT X Figure 1 Create a plot that illustrates the construction of a sawtooth wave using the first 2, 3, and 4 terms of the Fourier series for 0 ≤ x ≤ 6n (i.e., your plot should have 3 curves that become successively better approximations of the sawtooth wave). Label all the axes, include gridlines and a legend in your plot. Change the axis limits so that the x-axis ranges from 0 to 67 and the v-axis ranges from -2 to +2, and change the line width to 1.5 for all three curves. I Hint: type "help plot" in the Command Window, scroll down and see the example for changing line width.
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