1. If the input to a system, having a transfer function of (1 + 2z-1 - z-2), is a discrete unit step, find the first four terms of the output sequence.
2. When a discrete signal 1,-2 is inputted to a processing system the output sequence is 1 , - 5 , 8 , - 4 .
(a) Derive the transfer function for the system.
(b) Find the first three terms of the output sequence in response to the finite input sequence of 2, 2, 1.