# Impulse response of a multipath channel is given by h t = d t + ad t-t0 . a. Determine the maximum..

Impulse response of a multipath channel is given by h _
= _ _ + __ ___0 .

a. Determine the maximum excess delay Tm and the delay

b. Determine the frequency response and the PSD of the
channel.

c. Plot the PSD, normalized to be unity at f = 0, versus
f_0 for _ = 0.1, 0.3, 1. For _0 = 2 ms, determine the maximum
bandwidth over which the channel could be considered frequency-flat (e.g., less
than 1 dB variation in the frequency response) Determine the constants k1 and
k2 such that the bandwidth found above is the same as the analytical
expressions _fc = k1 Tm = k2 __ for the

Impulse response of a multipath channel is given by h _
= _ _ + __ ___0 .

a. Determine the maximum excess delay Tm and the delay

b. Determine the frequency response and the PSD of the
channel.

c. Plot the PSD, normalized to be unity at f = 0, versus
f_0 for _ = 0.1, 0.3, 1. For _0 = 2 ms, determine the maximum
bandwidth over which the channel could be considered frequency-flat (e.g., less
than 1 dB variation in the frequency response) Determine the constants k1 and
k2 such that the bandwidth found above is the same as the analytical
expressions _fc = k1 Tm = k2 __ for the coherence bandwidth.

d. Discuss the effect of _ and _0 on the coherence
bandwidth.

e. Assuming that a signal pulse with unit amplitude and
duration T propagates through this channel, determine the minimum -to-
bandwidth of the signal relative to _ so that the flatfading assumption
holds.

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