# Assuming that the impulse response of a discrete multipath channel is given by a. Determine the…

Assuming that the impulse response of a discrete multipath
channel is given by

a. Determine the multipath intensity profile (MIP),
Rc(_), for this channel.

b. Assuming that the Eb/N0 denotes the overall energy per
bit to noise power ratio, show that the average energy per bit to noise power
ratio of each multipath component is given by

c. Approximating the MIP by an exponential function
normalized to unity, that is

where _0 denotes the rms

Assuming that the impulse response of a discrete multipath
channel is given by

a. Determine the multipath intensity profile (MIP),
Rc(_), for this channel.

b. Assuming that the Eb/N0 denotes the overall energy per
bit to noise power ratio, show that the average energy per bit to noise power
ratio of each multipath component is given by

c. Approximating the MIP by an exponential function
normalized to unity, that is

where _0 denotes the rms delay spread and taking,
_n = nTc, determine the Eb/N0 of each multipath delay component and their
sum in terms of Eb/N0, Tc and _0

d. Assuming that these multipath components undergo Rayleigh
fading have different average powers, as found in (c), determine the pdf of

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