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

(a) Using Eq. (2.109), show that H *(e^{? j?}) is the frequency response of a system with impulse response h *[n], where * denotes complex conjugation.

(b) Show that if h[n] is real, the frequency response is conjugate?symmetric, i.e., H(e^{? j?}) = H *(e^?j?).

H(e') = h[k]ejk, (2.109) k=-00