c) Give the Pole-Zero plot including R.O.C Answer Zeros Poles Problem #6 Fill Answer Blanks with your final answer in order to get credit. The system function of a certain filter is H (z) = 1+0.82-1 R. 0. C: lz] > 0.8 a) Is this filter causal? Answer: Yes No circle one b) Give the Poles and Zeros of the System: Answer: Poles Zeros c) Give the unit-sample response (the system has zero initial conditions) Answer: h[n] = d) Give the unit-step response of the system at rest using the Z-Transform. That is the output of the system when the input is a unit step Answer: yu[n]= Problem #7 Fill Answer Blanks with your final answer in order to get credit. A discrete time LTI filter is given by its system function H(z) 1+z-1 1 0.9z-1 R.O. lz| > 0.9 a) Find the unit-step response (transient and steady state) of the system at rest using the Z-transform Answer: yu[n] =