The two-path model defined by the impulse response h(t) = a 1 (t 1 ) + a 2 exp(j) (t 2

The two-path model defined by the impulse response h(t) = a₁ δ(t – τ₁) + a₂ exp(–jθ) δ(t – τ₂) is frequently used in the analytic treatment of wireless communication systems. The model parameters are the delay times τ₁ and τ₂ the uniformly distributed phase 8, and the real coefficients a₁, and a₂.

(a) Determine (i) the transfer function of the model, and (ii) its power-delay profile.

(b) Show that the model exhibits frequency-selective fading due to variations in the coefficients a₁ and a₂.