## Abstract

In this paper, new compatible CORDIC and CCM algorithms are proposed. The algorithms are based on new convergence sets of {tan^{-1}2^{-2i}; i = 0,1,2,..., [n/2]} and {ln(1+2^{-2i}); i = 1,2,..., [n/2]} for CORDIC and CCM respectively, other than the existing sets of {tan^{-1}2^{-i}; i = 0,1,2,...,n} and {ln(1+2^{-i}); i = 0,1,2,...,n}. Based on the new convergence sets, adaptive double and quadruple rotation and convergence schemes are developed. The new rotation sequences and schemes make CORDIC and CCM algorithms highly compatible in hardware implementation. Besides, cos^{-1} and sin^{-1} functions can also be realized with the new algorithm, which is hard for conventional algorithms. Moreover, this new rotation sequence can be applied to both trigonometric and hyperbolic functions. In implementation, the new algorithm results in smaller ROM size, smaller barrel shifters, simpler scaling factor compensation, and richer functional capabilities than conventional CORDIC processors. Layout design of the combined CORDIC/CCM processor has been accomplished and sent to foundry for chip realization.

Original language | English |
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Pages | 572-579 |

Number of pages | 8 |

State | Published - 1 Dec 1995 |

Event | Proceedings of the 1995 IEEE Workshop on VLSI Signal Processing - Osaka, Jpn Duration: 16 Oct 1995 → 18 Oct 1995 |

### Conference

Conference | Proceedings of the 1995 IEEE Workshop on VLSI Signal Processing |
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City | Osaka, Jpn |

Period | 16/10/95 → 18/10/95 |