GATE EC 2016 Set 3 — Question 61
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Communications → Information Theory → Binary Symmetric Channel
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Question
The bit error probability of a memoryless binary symmetric channel is . If bits are sent over this channel, then the probability that not more than one bit will be in error is __________
Correct answer
0.7 to 0.75
Solution
Given:
Probability of bit error
Number of bits This follows a binomial distribution . Since is large and is small, we can use the Poisson approximation with .The probability that not more than one bit is in error is .
Using Poisson distribution :
Probability of bit error
Number of bits This follows a binomial distribution . Since is large and is small, we can use the Poisson approximation with .The probability that not more than one bit is in error is .
Using Poisson distribution :
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