A discrete time system is described by the following transfer function:
H(z) = 1 + 2z^(-1)/(1-(1/2z^(-2)))
a) Give a block diagram to implement the system using delay elements, multipliers, and adders. Use the smallest possible number of delay elements (all of the same delay).
b) Find the impulse response of the system.
c) Give a different equation, in terms of the input and output, to describe the system.
d) Is the system stable?