A wireless channel is represented by y(t) = x(t T) + 3 x(t 3T)

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A wireless channel is represented by y(t) = αx(t − T) + α3x(t − 3T) where 0 < α < 1 is the attenuation and T the delay. The input is x(t) and the output y(t).

(a) Find the impulse response h(t)of the channel.

(b) Find the transfer function H(s), and its poles and zeros. Determine if the system is BIBO stable.

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