A Normalization Scheme to Reduce Numerical Errors in Inverse Tangent comptations on a Fixed-point CORDIC Processor
Cavallaro, Joseph R.
Coordinate Rotation Digital Computer (CORDIC); error reduction; normalization; processor
Coordinate 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.
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