Question: The transfer function of a physically realizable system is as follows:
H(z) = 1
(1 - 0.3z-1) (1 - 0.5z-1)(1 - 0.7z-1)
(i) Determine the impulse response of the LTID system.
(ii) Determine the difference-equation representation of the LTID system.
(iii) Determine the unit step response of the LTID system by using the time-convolution property of the z-transform.
(iv) Determine the unit step response of the LTID system by convolving the unit step sequence with the impulse response obtained in part (i).