Floating-point to logarithmic encoder error analysis
Thanos Stouraitis, Fred J. Taylor · IEEE Transactions on Computers · 1988
The logarithmic number (LNS), which supports high-speed, high-precision arithmetic, is envisioned as a possible arithmetic coprocessor attachment to a floating-point (FLP) processor. An error analysis of an FLP-to-LNS encoder is presented. Analytic expressions for the probability density function of the encoding error are derived for a number of cases, according to the memory word lengths used for the encoding. Simulation has verified the theoretical results.>