# Mathematics of Signal Representations

## Math4355 - Spring 2013 - Homework

Assignment 2, due Thursday, January 31

• Review 0.4, 0.5.1, 0.5.2 and to prepare for Exercise 26, read Section 0.7.1 up Theorem 0.34.
• Do Exercises, p. 36-37: 14; 15; 17; 26 (c) (assuming 26 (a) and (b) are true, solve for m and b in terms of the data xj and yj);
• (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. Include the plot in your homework. Following the strategy 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.