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Information Theory Modern digital communication depends on
Information Theory Modern digital communication depends on

... An information source is a system that outputs from a fixed set of n symbols {x1 .. xn} in a sequence at some rate (see Fig. 1). In the simplest case, each symbol that might be output from the system is equally likely. The letter i will stand for some given ouput symbol from the set {x1 .. xn}. If a ...
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< 1 2

Arithmetic coding



Arithmetic coding is a form of entropy encoding used in lossless data compression. Normally, a string of characters such as the words ""hello there"" is represented using a fixed number of bits per character, as in the ASCII code. When a string is converted to arithmetic encoding, frequently used characters will be stored with fewer bits and not-so-frequently occurring characters will be stored with more bits, resulting in fewer bits used in total. Arithmetic coding differs from other forms of entropy encoding, such as Huffman coding, in that rather than separating the input into component symbols and replacing each with a code, arithmetic coding encodes the entire message into a single number, a fraction n where (0.0 ≤ n < 1.0).
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