engineering recuitment GATE ECE 2023-24 Test Series Communication Systems Information Theory Entropy Coding
Let H(X) denote the entropy of a discrete random variable X taking K possible distinct real values. Which of the following statements is/are necessarily true?
1
H(X) ≤ log2 K bits
2
H(X) ≤ H(2X)
3
H(X) ≤ H(X2)
4
H(X) ≤ H(2X)