LAB ASSIGNMENT 7 (due 03/26/14)
____________________________

(Total Points: 15)


Consider the function s(t) defined for t in [0,4) by

                  { e^(t-1)     , for t in [0,1)
           s(t) = { (t-2)^2     , for t in [1,3)
                  { e^(3-t)     , for t in [3,4)

(i)   Generate a column vector s consisting of 512 uniform
      samples of this function over the interval [0,4). (This
      is best done by concatenating three vectors.)

(ii)  If V is the normalized Haar wavelet matrix of size
      512, determine the vector c such that

                       s = V*c

(iii) Use the script in Lab 7, item 7, to display the successive
      Haar wavelet approximations to s, from the coarsest scale 
      (Scale 0) to the finest scale (Scale 9).  The vector t
      should be redefined as 0:511 for this part.

(iv)  If y is the approximation to s using Scales 0 to 7 (i.e.,
      excluding Scales 8 and 9), evaluate the relative
      root mean square error

                       norm(s-y)/norm(s)

________

Submit a zip or rar package containing the following files (use exact 
file names as shown):

LASTNAME_LABHW_07.m

	It should contain 

		- the commands used in part (i) to create the vector s;

		- the commands used in part (iv) to compute the relative
		  root mean square error;

		- the value of the root mean square arror

		- the commands used to generate the graph below:

LASTNAME_LABHW_07.pdf

	A single graph showing s (red) and y (blue) plotted against t.

The zip or rar package should be named as lastname_labhw_07.zip / .rar, and 
should be uploaded from the upload link on the course lab web page 
<http://terpconnect.umd.edu/~jzsimon/enee222/lab.html>, or if not possible, 
emailed to enee222S2013@gmail.com.