UCSC-CRL-90-39: AUGEND-BASED ARITHMETIC CODES AND THE GOLOMB CODE

08/01/1990 09:00 AM
Computer Science
Results of Gallager and VanVoorhis are employed to show that all augend-based binary arithmetic coders in the fixed augend case generate code strings of identical length to some Golomb code and vice-versa. A-based coders are studied for the random augend case (random interval model) that assume a randomization of successive augend values. When augend Q and the smaller binary probability q_{bpd} of the stationary binary input sequence are *matched*, then the best coding efficiency is achieved. The matching values of Q/q_{opt} differ for fixed and random augend cases, but converge as q becomes small. The coding efficiencies are also compared. The Golomb code matching point for best efficiency is the basis for Golomb number m.

This report is not available for download at this time.