1. 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.
2. An FIR filter has three coefficients, a0=0.5, a1= -0.8, and a2 = 0.4 . Derive the output sequence corresponding to the finite input sequence of 1, 5.
3. Outline the three types of signals and give a clear explanation of each.