Numerical accuracy and hardware trade-offs for fixed-point CORDIC processor for digital signal processing system

Authors:
Tze-Yun Sung
Affiliations:
Department of Microelectronics Engineering, Chung Hua University, Hsinchu, Taiwan
Venue:
MUSP'07 Proceedings of the 7th WSEAS International Conference on Multimedia Systems & Signal Processing
Year:
2007

Citing 4
Cited 0

Expanding the Range of Convergence of the CORDIC Algorithm

IEEE Transactions on Computers
Numerical Accuracy of Fast Fourier Transforms with CORDIC Arithmetic

Journal of VLSI Signal Processing Systems - special issue on CORDIC
Numerical Accuracy and Hardware Tradeoffs for CORDIC Arithmetic for Special-Purpose Processors

IEEE Transactions on Computers
An accurate error analysis model for fast Fourier transform

IEEE Transactions on Signal Processing

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Abstract

In this paper, the complete error analysis of the conventional CORDIC (COordinate Rotation DIgital Computer) algorithm and the CORDIC with expanded convergence range is presented. All the computational error consisting of the approximation error and truncation error in both the rotation mode and vectoring mode has been derived systematically. It has been shown that the computation errors of CORDIC processor are dependent on the word length and number of iterations. The main contribution of this paper is a complete set of formulas describing the computation errors of CORDIC have been summarized in tabular form. By referring to these tables, one can design a cost-effective digital signal processing system using CORDIC processor in terms of areas and performances.