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Information Theory And Coding
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Consider the entropy of a random variable X is 16 bits and for each value of X, a deterministic function Y(X) produces a diverse value. Then the entropy of Y is . . . . . . . . bits.

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The Hartley shannon theorem sets a limit on the

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Information content of a message with probability P is defined by the equation

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A given source will have maximum entropy if all the massage produced are

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Significance of channel coding theorem due to Shannon lies in the fact that

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If the BW of 8 KHz white bandlimited Gaussian SNR is 25 dB the channel capacity is:

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In order to permit the selection of 1 out of 16 equiprobable events, what is the number of bits required?

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By properly coding and grouping longer sequence, it is possible to

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The channel capacity is

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A binary symmetric channel (BSC) has a transition probability of  If the binary transmit symbol X is such that   then the probability of error for an optimum receiver will be

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The rate at which information can be carried through a communication channel depends on

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A linear Hamming code is used to map 4-bit messages to 7-bit codewords. The encoder mapping is linear. If the message 0001 is mapped to the codeword 0000111, and the message 0011 is mapped to the codeword 1100110, then the message 0010 is mapped to

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There are M equally likely and independent message and M = 2N, the information in each message is equal to

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A channel has a signal-to-noise ratio of 63 and bandwidth of 1200 Hz. The maximum data rate that can be sent through the channel with arbitrary low probability of error is

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Shannon's channel capacity formula is applicable to the AWGN channel and is given by

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According to Shannon Hartley theorem

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A communication channel disturbed by Gaussian noise has a bandwidth of 6 kHz and S/N ratio of 15. The maximum transmission rate that such a channel can support is

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A channel of 3000 Hz bandwidth with a signal to thermal noise ratio of 30 dB. The maximum number of bits per second the channel can transmit without error will be:

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Relation between Code rate(r), information bits (k) and total bits (n) is

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An event has 4 possible outcomes with probabilities   What will be the rate of information if there are approximately 24 outcomes/second possible?

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