# Redundant Arithmetic CORDIC System with a Unit Scale Factor

### Reference:

Clarke, C. T. and Nudd, G. R., 1994. Redundant Arithmetic CORDIC System with a Unit Scale Factor. *In*: McWirter, J. G., ed. *Mathematics in Signal Processing III.* Oxford: Oxford University Press, pp. 63-73.

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### Abstract

The CORDIC algorithm for the calculation of trigonometric functions has traditionally suffered from two problems; speed, and the necessity to pre-scale the inputs. The speed problem is overcome to a large extent by the introduction of redundant number systems which have been shown by others. Here we show a new CORDIC system which has a unit scale factor that can be ignored. The unit scale factor is achieved by rotating the vector in 3 dimensional space in a manner which scales its projection onto the X-Y plane by the reciprocal of the overall scale factor. This new technique takes the same number of cycles as the standard CORDIC algorithm, with only marginally slower cycle times than the redundant system of Takagi. The system is shown to be entirely compatible with redundant number system implementations of the CORDIC algorithm.

### Details

Item Type | Book Sections |

Creators | Clarke, C. T.and Nudd, G. R. |

Editors | McWirter, J. G. |

Departments | Faculty of Engineering & Design > Electronic & Electrical Engineering |

Status | Published |

ID Code | 15578 |

Additional Information | Mathematics in signal processing III: based on the proceedings of the third conference organized by the Institute of Mathematics and Its Applications on mathematics in signal processing, held at the University of Warwick in December 1992 |

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