For the given digital filter, evaluate Y(z)/X(z). Where p0, p1 and d1 are scalar and z^-1 represents delay element of time [Figure description: A signal-flow block diagram. Input x(n) goes through a multiplier p0 to a first summer; in parallel x(n) goes through a delay z^-1 and then a multiplier p1 whose output also feeds the first summer. The first summer's output goes to a second summer. The output y(n) is taken after the second summer, and is fed back through a delay z^-1 and a multiplier -d1 into the second summer.]
- A. (p0 + p1 z^-1)/(1 + d1 z^-1)
- B. (p0 - p1 z^-1)/(1 + d1 z^-1)
- C. (p0 + p1 z^-1)/(1 + d1 z)
- D. (p0 + p1 z)/(1 + d1 z^-1)
Answer: A. (p0 + p1 z^-1)/(1 + d1 z^-1)
Explanation: From the block diagram, Y(z) = X(z)(p0 + p1 z^-1) - d1 z^-1 Y(z), giving transfer function Y(z)/X(z) = (p0 + p1 z^-1) / (1 + d1 z^-1).