A Normalization Scheme to Reduce Numerical Errors in Inverse Tangent comptations on a Fixed-point CORDIC Processor

Kota, KishoreCavallaro, Joseph R.2007-10-312007-10-311992-05-201992-05-20K. Kota and J. R. Cavallaro, "A Normalization Scheme to Reduce Numerical Errors in Inverse Tangent comptations on a Fixed-point CORDIC Processor," 1992.https://hdl.handle.net/1911/20037Conference PaperCoordinate Rotation Digital Computer (CORDIC) is a unified arithmetic algorithm that allows efficient VLSI implementation of several elementary functions. Many special-purpose systems for real-time signal processing application use a fixed-point representation of numbers due to the ease of implementation. An analysis of fixed-point CORDIC in the Y-reduction mode, which allows computation of the inverse tangent function, shows that unnormalized input values can result in large numerical errors. This paper presents a method to integrate the normalization operatioin with CORDIC iterations for efficient implementation in 0(n<sup>1.5</sup>) hardware.engCoordinate Rotation Digital Computer (CORDIC)error reductionnormalizationprocessorA Normalization Scheme to Reduce Numerical Errors in Inverse Tangent comptations on a Fixed-point CORDIC ProcessorConference paperCoordinate Rotation Digital Computer (CORDIC)error reductionnormalizationprocessor