Consider an LTI system with impulse response h(n) = (1/3)|n|

(a) Determine and sketch the magnitude and phase response H(ω)| and < H (ω), respectively.

(b) Determine and sketch the magnitude and phase spectra for the input and output signals for the following inputs:

(1) x(n) = cos 3πn/8. -∞ < n < ∞

(2) x(n) = { . . . -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, . . . . .}