Let H(ejω) denote the frequency response of an LTI system with impulse response h[n], wh...

Let H(e^jω) denote the frequency response of an LTI system with impulse response h[n], where h[n] is, in general, complex.

(a) Using Eq. (2.104), show that H ∗ (e ^−jω) is the frequency response of a system with impulse response h ^∗[n].

(b) Show that if h[n] is real, the frequency response is conjugate symmetric, i.e., H(e ^−jω) = H ∗ (e^jω).