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What is symmetric channel in ITC?
A binary symmetric channel (or BSCp) is a common communications channel model used in coding theory and information theory. In this model, a transmitter wishes to send a bit (a zero or a one), and the receiver will receive a bit.
What is mutual information in ITC?
Mutual information is one of many quantities that measures how much one random variables tells us about another. It is a dimensionless quantity with (generally) units of bits, and can be thought of as the reduction in uncertainty about one random variable given knowledge of another.
What is meant by symmetric channel?
This type of channel transmits only two distinct characters, generally interpreted as 0 and 1, hence the designation binary. The probability of correctly receiving either character is the same, namely, p, which accounts for the designation symmetric.
What is a noisy channel?
The noisy channel model is a framework used in spell checkers, question answering, speech recognition, and machine translation. In this model, the goal is to find the intended word given a word where the letters have been scrambled in some manner.
Why is BSC used in binary symmetric channel?
When using the BSC, one of course has to convert the information into a stream of binary data and upon arrival recover the original information. For that reason it is more convenient to represent the information sequence as a binary sequence.
What is the noisy channel coding theorem for BSC P?
The noisy-channel coding theorem applies to BSC p, saying that information can be transmitted at any rate up to the channel capacity with arbitrarily low error. The channel capacity is
How is mutual information used in data compression?
Mutual information is a fundamental measure of dependence between random variables: it is invari-ant to invertible transformations of the random variables, nulli\fes if and only if random variables areindependent, and emerges as a solution to operational data compression and transmission questions.