New function interpolator using small memory
Belle W. Y. Wei, Cao Jun, Jie Cheng · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1998
High-speed elementary function generation is crucial to the performance of many DSP applications. This paper presents a new Composite Polynomial Method for generating elementary functions using second-order interpolation. The composite polynomial takes the average of two second-degree polynomials with an overlapping subinterval, and features the minimum approximation error the overlapping subinterval. Its implementation uses small memory with minimal additional computational circuitry and represents a competitive design with respect to existing designs.