Consider a sampled low-pass channel impulse response c[n] satisfying where v denotes the maximum…

Consider a sampled low-pass channel impulse response c[n]
satisfying

where v denotes the maximum Doppler frequency shift of the
2nd path. The channel gains _0 and _1 are i.i.d. complex Gaussian
random variables with zero-mean and variance .

a. Determine the autocorrelation of the channel impulse
response.

b. Determine the minimum separation between channel samples
that guarantees independence. What is the relation between the minimum
separation and the channel coherence time?

c. Determine the optimal value of the symbol separation for
user velocities 60 km/h and 120 km/h for

Consider a sampled low-pass channel impulse response c[n]
satisfying

where v denotes the maximum Doppler frequency shift of the
2nd path. The channel gains _0 and _1 are i.i.d. complex Gaussian
random variables with zero-mean and variance .

a. Determine the autocorrelation of the channel impulse
response.

b. Determine the minimum separation between channel samples
that guarantees independence. What is the relation between the minimum
separation and the channel coherence time?

c. Determine the optimal value of the symbol separation for
user velocities 60 km/h and 120 km/h for binary transmission at a bit rate of
1/T = 100 kbps and 900 MHz carrier frequency

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