A LIT (linear time-invariant) system, impulse response h[n], is described by:

(a) Show the block-diagram representation for this FIR filter (only use multiplier, adder and unit delay blocks).

(b) Calculate and demonstrate the numerical convulsion in a table (similar to the example presented in Fig 5-11 of your book), and graphically demonstrate the values of y[n], if the input (x[n]) to the above system h[n] is:

(c) Calculate and graphically demonstrate the value of y[n] for the shifted impulse response of h[n-d] for which d is the last digit of your student number (if the last digit of your student number is 0, use 1 instead).

(d and e) Repeat (b) and (c) for the following input:

(f) Write a MATLAB program to calculate and graphically demonstrate (b) and (c). Include the print of this MATLAB program + snap shots of the outputs, for each case, in your submission.