Geophys 6001: Advanced Geophysical Data Analysis

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Geophys 6001: Advanced Geophysical Data AnalysisAssignment 5 (10 points)The purpose of this Matlab assignment is to general a square-wave (boxcar), which is made up of a sum of odd harmonics.Go through the Matlab instructions (g6001-L14-matlab-basics.pdf) first, then do the following tasks. Submit all the figures you have created and explain your observations. 1. Plot a sine function. To achieve this, you may first generate a time vector, then take the sine of all the points. Here is my example to generate the first harmonic in Matlab (Please general your own vector), plott=0:0.2:10;y=sin(t);plot(t,y);2. Sum the first and the third harmonics, plot. Matlab y=sin(t)+sin(3*t)/3;plot(t,y);3. Sum the first, third, and fifth harmonics, plot.Matlab Y=sin(t)+sin(3*t)/3+sin(5*t)/5; plot(t,y);4. Sum the first, third, fifth, seventh, ninth, 11th, 13th, 15th, 17th, and 19th harmonics, plot.5. Sum a number of harmonics of your choice (at least 15 harmonics), plot.6. Compare the above five plots and explain what you have observed. Who was right? Fourier or Lagrange?7. Perform the following in Matlab, explain the results.t = 0:.02:3.14;y = zeros(10,length(t));x = zeros(size(t));for k=1:2:19 x = x + sin(k*t)/k; y((k+1)/2,:) = x;endplot(y(1:2:9,:)’)title(‘The building of a square wave: Gibbs” effect’)8. Perform the following in Matlab, explain the results.surf(y);shading interp axis off ij


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