### Abstract

Language | English |
---|---|

Title of host publication | Mathematics in Signal Processing III |

Editors | J G McWirter |

Place of Publication | Oxford |

Publisher | Oxford University Press |

Pages | 63-73 |

Number of pages | 11 |

ISBN (Print) | 0198534809 |

Status | Published - Aug 1994 |

Event | Mathematics in Signal Processing III - Warwick, UK United Kingdom Duration: 1 Aug 1994 → … |

### Conference

Conference | Mathematics in Signal Processing III |
---|---|

Country | UK United Kingdom |

City | Warwick |

Period | 1/08/94 → … |

### Fingerprint

### Cite this

*Mathematics in Signal Processing III*(pp. 63-73). Oxford: Oxford University Press.

**Redundant Arithmetic CORDIC System with a Unit Scale Factor.** / Clarke, Christopher T; Nudd, G R.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Mathematics in Signal Processing III.*Oxford University Press, Oxford, pp. 63-73, Mathematics in Signal Processing III, Warwick, UK United Kingdom, 1/08/94.

}

TY - CHAP

T1 - Redundant Arithmetic CORDIC System with a Unit Scale Factor

AU - Clarke,Christopher T

AU - Nudd,G R

N1 - 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

PY - 1994/8

Y1 - 1994/8

N2 - 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.

AB - 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.

M3 - Chapter

SN - 0198534809

SP - 63

EP - 73

BT - Mathematics in Signal Processing III

PB - Oxford University Press

CY - Oxford

ER -