A linear time-invariant discrete-time system has transfer function
h(z)=((z^2)-z-2)/((z^2) + 1.5z-1)
a. Use MATLAB to obtain the poles of the system. Is the system stable?Explain.
b. Compute the step response. This should be done analytically, but you can use MATLAB commands like conv and residue.
c. Plot the first seven values of the step response. Is the response increasing or decreasing with time? Is this what you would expect, and why?