Mathematics of Signal Representations

Assignment 1, due Wednesday, February 4

• Do Exercises §0.8: 1; 3; 6; 7;
  
• (Matlab project) Define a variable with the command "x=0:0.001:1;" in Matlab. This is just a row vector with values ranging from 0 to 1 in steps of 0.001 increment. Now plot the several functions f_n(x) in the sequences defined in Exercises 6 and 7 for n=2, n=10, and n=50. Think about a way to produce the piecewise definition of the functions. Refer to Matlab Help if needed. You may want to call the resulting vectors of function values f2, f10, and f50. Plotting the functions is simply done by "plot(x,f2);" and similarly for f10 and f50. Export (save) the plots and print them. Attach a printout of your plots to your homework, together with the Matlab code you used to generate the function values.
  If you need help getting started with Matlab, take a look at the documentation at http://www.math.uh.edu/~bgb/Math4355/Matlab Docs. The Chapters 2 and 3 in the file getstarted.pdf should contain many examples which you can simply modify for your purposes.