On-Line Hardware Implementation for Complex Exponential and Logarithm

This work reports on an on-line arithmetic co-processor that implements a novel algorithm derived from CORDIC. This algorithm, known as BKM, was adapted for the on-line arithmetic use. A 16 SBD VLSI implementation is also discussed. The obtained circuit might be considered as the first on-line arithmetic co-processor. As a matter of fact, the BKM algorithm gives, depending on its functioning mode, the complex exponential or logarithm functions. All basic mathematical operations can hence be computed. The chip was designed using a specific to on-line cell library, some full-custom parts and a generated decision and control part.