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

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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.

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