Determine the unit step response of the ltid system by

Question

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).