Problem determining the bit error rate


Question: Let r1 and r2 be the signal strengths received by a mobile from base stations 1 and 2, respectively. The probability distribution of r1 and r2 are:

p(r1)=0.1, p(r2)=0.1, 0≤r1,r2≤10;

Assume r1 and r2 are independent random variables. When the mobiles are near the cell border, they can have adequate communication with more than one base station if r1/r2 <2 and r2/r1 <2. What is the probability that the mobile can have adequate communication with both base stations?

The received signal of a communication system r = s + N . Here, s is source information and takes the value of 1 or -1. N is the noise uniformly distributed in the interval of [-x +x].

a) If x is 0.5, what is the bit error rate (BER)?

b) If x is 1.5, what is the bit error rate (BER)?

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Basic Statistics: Problem determining the bit error rate
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