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ESE 2021 Technical Quiz 62 || Information Theory

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Question 1

The differential entropy H(X) of the uniformly distributed random variable X with probability density function fX(x)=

Question 2

A standard television picture is composed of approximately 300000 basic picture elements. Each of these elements can assume 10 distinguishable brightness levels with equal probability. The information content of a television picture frame is ________ k bits.

Question 3

The channel capacity of an infinite bandwidth channel is 54 kbps. If the signal power required at the receiver is 0.1 mW, the two sided noise spectral density is__________10-9W/Hz

Question 4

A source has alphabets {a, b, c, d} with corresponding probabilities {0.15, 0.2, 0.3, 0.35}. The minimum required average code word length to represent this source for error free reconstruction is

Question 5

The capacity of a Binary Symmetric Channel (BSC) with cross-over probability 0.5 is ________
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May 26ESE & GATE EC