GATE EC 2022: Communication System Quiz 5

Consider the following two statements

S₁: The number of bits needed to store text is much less than that required to store its spoken equivalence

S₂ : Source coding theorem says that the number of bits required to represent text is much smaller than the number of bits required to represent its spoken equivalent.

Choose the correct option

Consider the two symbols x1 and x2 having probability 0.9 and 0.1 .Then entropy of second order extension is ___

The channel capacity of the noiseless discrete channel illustrated below is.

If the joint probability matrix is given as.

The mutual information for the channel is____ bits.

A discrete source transmits message with probabilities 0.4, 0.3, 0.3 respectively. The source is connected to the given channel. Calculate

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