Consider a discrete-time LTI system described by the difference equation (a) Dr...

Consider a discrete-time LTI system described by the difference equation

(a) Draw the form I realization (block diagram) for this system.

(b) Determine the impulse response for the system.

(c) Verify the results of part (b) by tracing the impulse function through the block diagram of part (a).

(d) Suppose that the system input is given by

and x[n] is zero for all other values of n. Express the output y[n] as a function of h[n].

(c) Calculate the output y[n] for n = -3, -1, and 1 for x[n] in part (d) and using the results of part (b).