Markoff Statistical Model Quiz

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What is the formula for joint entropy in terms of conditional entropy and individual entropies?

H(X, Y) = H(X) - H(Y)

H(X, Y) = H(X) + H(Y)

H(X, Y) = H(X|Y) + H(Y) (correct)

H(X, Y) = H(Y|X) + H(X)

What is the main objective of the Shannon-Fano algorithm?

Channel decoding

Modulation

Source encoding (correct)

Error correction

What does the Shannon-Hartley theorem determine the capacity of?

Rayleigh fading channel

Binary channel

AWGN channel

Gaussian channel (correct)

In the Shannon-Fano algorithm, how are symbols sorted based on their frequencies?

From most frequent to least frequent Signup and view all the answers

What do symbols in the first part of the list get assigned in the Shannon-Fano algorithm?

Binary digit 0 Signup and view all the answers

What is a key step in applying the Shannon-Fano algorithm?

Recursively dividing lists based on frequency Signup and view all the answers

What is the formula for the information rate of Markoff sources?

R = rH Signup and view all the answers

Which type of entropy is defined as the average entropy of each state in Markoff sources?

Marginal Entropy Signup and view all the answers

What is the relation between joint entropy and conditional entropy in terms of mutual information?

$H(X,Y) = H(Y) + H(X/Y)$ Signup and view all the answers

What does the mutual information I(X;Y) of a channel represent?

Difference between initial and final uncertainty Signup and view all the answers

Which property of mutual information states that I(X;Y) equals H(X) minus H(X/Y)?

$I(X;Y) = H(X) - H(X/Y)$ Signup and view all the answers

What type of communication channel has both input and output as sequences of symbols?

Discrete communication channel Signup and view all the answers

What is the unit of information as defined in the text?

Bits Signup and view all the answers

When is entropy zero?

When the probability of one symbol is zero Signup and view all the answers

What happens to the amount of information coming from a source in a statistically dependent sequence?

It decreases Signup and view all the answers

What does entropy measure?

The average amount of information conveyed by a message Signup and view all the answers

In a statistically independent sequence, what is true about the occurrence of symbols at different time intervals?

The occurrence of a symbol at one time interval is independent of other time intervals Signup and view all the answers

What is the equation to calculate the total information content of a message consisting of N symbols?

$N \cdot log (1/Pk)$ Signup and view all the answers