Mathematics of Signal Representations

Assignment 2, due Wednesday, February 11

• Do Exercises §0.8: 14; 15; 17; 22 (Hint: Show that every vector in V₀ is contained in the orthogonal complement of the orthogonal complement of V₀, then show the reverse inclusion using the direct sum property of V₀ and of its orthogonal complement);
  
• (Matlab project) Download the linked file fitdata.mat (right click and save), load it into Matlab and plot the function y(x) using the Matlab command plot and the loaded vectors x and y containing the values for the independent variable x and the function value y. See the Matlab documentation for exporting the figure or how to print it. Include the plot in your homework. Following the steps outlined in Section 0.7.1, write a program (matlab script) that will compute the least squares fit line f(x)=mx+b to approximate the "noisy" function values y(x) in fitdata.mat. Attach a printout of your program to your homework. Combine the plots for the function y(x) and the fit f(x) in one figure (e.g. using the Matlab command hold on after performing the first plot). Record the values of m and b computed by your fit program in your homework.