The block diagram representation of the filter is given below: (a) find the system function H(z) of this filter. (b) find the difference equation between input and output signals, x(n) and y(n) (c) find the impulse response h(n), assuming that the system is causal. (d) Is the system stable? why? (e) implement the filter using direct form I. w (n) y(n) x(n) + z3 3 2