Method for compression coding of potentially unbounded integers

Coded data generation or conversion – Digital code to digital code converters – To or from code based on probability

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341 67, H03M 700

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active

057084319

ABSTRACT:
An integer of potentially unbounded size is compression coded by first transforming the integer into a binary representation in which the length of the sequence of bits representing the integer is self-contained within the sequence itself. Each of the bits within the sequence is then coded with a binary arithmetic coder, such as the QM-Coder, which uses as a conditioning context for each bit, the bits of the sequence previously coded. In order to limit the amount of memory used to store the probability information associated with each conditioning context, memory is allocated for storing such information as that conditioning context is needed. Also, once a predetermined amount of memory has been used to store this probability information for different conditioning contexts, no further memory space is allocated for newly occurring conditioning contexts. Rather a special overflow memory space is allocated and used for all conditioning contexts not previously defined.

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P. Elias, "Universal Codeword Sets and Representations of the Integers", IEEE Trans. Inform Theory, vol. IT-21, No. 2, Mar. 1975, pp. 194-203.

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