Consider the cascade of LTI discrete-time systems shown in Figure P2.37. The fi...

Consider the cascade of LTI discrete-time systems shown in Figure P2.37.

The first system is described by the frequency response

and the second system is described by

(a) Determine an equation that defines the frequency response, H(e^jω), of the overall system over the range −π ≤ ω ≤ π.

(b) Sketch the magnitude, |H(e^jω)|, and the phase, ∠H(e^jω), of the overall frequency response over the range −π ≤ ω ≤ π.

(c) Use any convenient means to determine the impulse response h[n] of the overall cascade system.