Consider the system (a) Determine if the system is time invariant. (b) To cla...

Consider the system

(a) Determine if the system is time invariant.

(b) To clarify the result in part (a) assume that the signal

is applied into the system.

(1) Sketch the signal x (n)

(2) Determine and sketch the signal

(3) Sketch the signal

(4) Determine and sketch the signal

(5) Determine and sketch the signal

(6) Compare the signals y₂(n) and y(n - 2). What is your conclusion?

(c) Repeat part (b) for the system

y (n) = x (n) - x (n — 1)

Can you use this result to make any statement about the time invariance of this system? Why?

(d) Repeat parts (b) and (c) for the system