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Essay text:
It
is possible to surround a noisy channel with appropriate encoding and
decoding systems, such that messages can be communicated at any rate less
than (but arbitrarily close to) the channel capacity with an arbitrarily small
probability of error.
Information theory in the 1950s was sometimes classified as a branch of the
then voguish field called "cybernetics", which included many aspects of
potential machine representation of the world; it is a broad and deep
mathematical theory, with equally broad and deep applications, chief among
them coding theory.
Coding theory is concerned with finding explicit methods, called codes, of
increasing the efficiency and fidelity of data communication over a noisy
channel up near the limit that Shannon proved is all but possible...
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