In Lab 2, you learned various plotting techniques and created an exponentially faded version of a given sinusoidal signal. In this assignment, you will use the so-called Hamming window to obain a modified sinusoid with symmetric fading
characteristics.
Your code should generate three signal vectors and plot them in a SINGLE figure consisting of THREE subplots, arranged in a column. The SUBPLOT function should be used. EACH subplot should have labels on the horizontal and vertical axes, as well as an appropriate title (e.g., INPUT SIGNAL, WINDOW, OUTPUT SIGNAL).

(i) Evaluate the signal vector x which contains samples of the sinusoid x(t) = cos( 7*pi*t/8 )
for t = -20:0.01:20 . Plot x against t in the first subplot. Calculate number of entries in the vector x, and write the result in comments.
(ii) Type "help hamming" to read the docummentation on the function HAMMING. Use the command

w = hamming(N)
where N takes a suitable value, to generate a vector w having the same length as x in part i). Plot w against t in the second subplot.

(iii) Using the transpose operator and element-by-element multiplication (as needed), "apply" the Hamming window w to x. This means multiplying each entry of x by the corresponding entry of w. Denote the resulting vector by y. Plot y in the third subplot.

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

lastname_labhw_02.m M-file containing the MATLAB code and any additional comments or explanations on separate lines preceded by % (comment character).
Please put your name and student ID on the first line. lastname_labhw_02.pdf Figure saved in PDF format.
The zip/rar package should be named as