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Please show all matlab code. Thanks for the help 4) Scripts and Functions: Any collection of Matlab commands can be gathered to- gether as a

Please show all matlab code. Thanks for the help

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4) Scripts and Functions: Any collection of Matlab commands can be gathered to- gether as a script, saved in an m-file. For instance save the following commands in a text file called plotit.m numhar = 5; numpoints = 300; t = linspace(0,2*pi,numpoints); y = zeros(1, numpoints); for ii = 1:numhar y = y + ((-1)^(ii+1))*(1/(2*ii-1)) *cos((2 *ii-1)*t); end plot(t,y) title( 'Harmonic decomposition of a square wave') You can then run this straight from Matlab (just type plotit) to build a square wave from its harmonics and plot it. The formulae for the harmonic series coefficients comes from the Fourier Series expansion (verify that). Note that this is a script in that all the variables exist in the workspace. You can also write subroutines, which use local variables. Type help function to see the syntax for doing this. Carry out the following programming tasks: i) Write a function from the above script to generate and plot a square wave from its har- monics. The inputs should include the number of harmonics and number of points. The outputs should include the time and amplitude vectors for the square wave. Plot the wave for various values. Can you see Gibb's phenomenon when the number of harmonics is large? ii) Write a function which gives back the sum of the squares of the absolute values of the elements of a matrix, i.e., it evaluates the function n m f = 10:51 i=1 j=1 for any n x m matrix a. Test your routine on the matrices a, b, c from question 1)

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