Consider the cascade of LTI discrete-time systems shown in Figure P2.45. System...

Consider the cascade of LTI discrete-time systems shown in Figure P2.45.

System 1 is described by the difference equation

w[n] = x[n] − x[n − 1],

and System 2 is described by

The input x[n] is

Determine the overall output y[n].

(With careful thought, you will be able to use the properties of LTI systems to write down the answer by inspection.)