Consider an LTI system, initially at rest, described by the difference equation...

Consider an LTI system, initially at rest, described by the difference equation

(a) Determine the impulse response, h(n), of the system.

(b) What is the response of the system to the input signal

(c) Determine the direct form II, parallel-form, and cascade-form realizations for this system.

(d) Sketch roughly the magnitude response of this system.