A binary communication system makes use of the symbols “zero” and “one”. There are channel errors. Consider the following events: 𝑥 0 : a "zero" is transmitted 𝑥 1 : a "one" is transmitted 𝑦 0 : a "zero" is received 𝑦 1 : a "one" is received The following probabilities are given: P(x_{0}) = \frac{1}{2},\:P (y_{0}|.x_{0}) = \text{\frac{3}{4} and p (y_{0}|.x_{1}) } = \frac{1}{2}.. The information in bits that you obtain when you learn which symbol has been received (while you know that a “zero” has been transmitted) is ________

GATE Electronics and Communications (EC) 2016 Shift 2 Solved Paper

Question : 61 of 65

Marks: +1, -0

A binary communication system makes use of the symbols “zero” and “one”. There are channel errors. Consider the following events:
𝑥₀ : a "zero" is transmitted
𝑥₁: a "one" is transmitted
𝑦₀ : a "zero" is received
𝑦₁ : a "one" is received
The following probabilities are given:

P(x_{0}) = \;{1}/{2},\:P (y_{0}|.x_{0}) = \text"\;{3}/{4} and p (y_{0}|.x_{1}) " = \;{1}/{2}.

.
The information in bits that you obtain when you learn which symbol has been received (while you know that a “zero” has been transmitted) is ________

Your Answer:

Validate

Go to Question:

Prev Question

Next Question