Initializing RAM-based logarithmic processors

A logarithmic processor is proposed that uses external RAM for holding the table required for logarithmic subtraction. The proposed processor requires that the RAM be initialized before any computations occur. We give an algorithm to initialize the RAM using the limited arithmetic unit of the processor. The algorithm is ten times faster than a bit by bit computation of the logarithm and antilogarithm. Bounds are developed for comparing the error of this algorithm against the error of earlier algorithms. Simulation results show that this algorithm avoids catastrophic cancellation, and is as accurate as any previously known single precision algorith.