Problem 1:
The received signal energy E is uniformly distributed in between [0 10] . Let the mean of E is 5.
a) Consider a particular communication system that the threshold is 1.5. If the signal energy falls below the threshold, the system is in the outage state. What is the outage probability P?
b) If there are two diversity branches (E1 and E2) and pure selection is the diversity selection algorithm what is the outage probability if El= E2? (assume the outage probability of one branch is P, you don't have to know the right answer of part a)
c) If there are two diversity branches (E1 and E2) and pure selection is the diversity selection algorithm what is the outage probability if E1=10-E2? (assume the outage probability of one branch is P. you don't have to know the right answer of pan a)
Problem 2.
A white noise x(t) appears at the input of a transmitter (the power is turned on). Let the transmitter frequency response be Hr(o ). the channel frequency response be Hc(o) and the receiver frequency response be 1-1,(6)). What is the autocorrelation of the receiver output?
Problem 3
The received signal
r = hd + pp
where h is the channel response. d is the data and n is the noise. If the channel response h is known to the receiver. use the MMSE approach to estimate data d. Show all detailed steps of derivation.
Attachment:- Assignment--22.docx