Figure P6.9 shows the signal flow graph for a causal discrete-time LTI system. Branches...

Figure P6.9 shows the signal flow graph for a causal discrete-time LTI system. Branches without gains explicitly indicated have a gain of unity.

(a) By tracing the path of an impulse through the flowgraph, determine h[1], the impulse response at n = 1.

(b) Determine the difference equation relating x[n] and y[n].