Embed Size (px)
Citation preview
![Page 1: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/1.jpg)
Hybrid CORDIC1. Overview
20170920
Copyright (c) 2015 - 2017 Young W. Lim. Permission is granted to copy, distribute and/or modify this document under the terms of theGNU Free Documentation License, Version 1.2 or any later version published by the Free SoftwareFoundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy ofthe license is included in the section entitled "GNU Free Documentation License".
![Page 2: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/2.jpg)
50 years of CORDIC
![Page 3: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/3.jpg)
50 years of CORDIC
![Page 4: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/4.jpg)
![Page 5: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/5.jpg)
50 years of CORDIC
![Page 6: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/6.jpg)
Wang & Swartzlander, Hybrid CORDIC algorithmsIEEE Computers, 1997
![Page 7: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/7.jpg)
Wang & Swartzlander, Hybrid CORDIC algorithmsIEEE Computers, 1997
![Page 8: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/8.jpg)
Wang & Swartzlander, Hybrid CORDIC algorithmsIEEE Computers, 1997
![Page 9: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/9.jpg)
50 years of CORDIC
![Page 10: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/10.jpg)
50 years of CORDIC
![Page 11: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/11.jpg)
50 years of CORDIC
![Page 12: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/12.jpg)
Timmermann, Low Latency time CORDIC algorithm, 1992
50 years of CORDIC
![Page 13: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/13.jpg)
![Page 14: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/14.jpg)
![Page 15: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/15.jpg)
![Page 16: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/16.jpg)
![Page 17: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/17.jpg)
![Page 18: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/18.jpg)
![Page 19: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/19.jpg)
Chen, w/o ROM Lookup
![Page 20: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/20.jpg)
Chen, w/o ROM Lookup
![Page 21: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/21.jpg)
![Page 22: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/22.jpg)
![Page 23: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/23.jpg)
![Page 24: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/24.jpg)
![Page 25: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/25.jpg)
Chen, w/o ROM Lookup
![Page 26: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/26.jpg)
![Page 27: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/27.jpg)
Chen, w/o ROM Lookup
![Page 28: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/28.jpg)
![Page 29: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/29.jpg)
![Page 30: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/30.jpg)
![Page 31: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/31.jpg)
![Page 32: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/32.jpg)
![Page 33: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/33.jpg)
Chen, w/o ROM Lookup
![Page 34: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/34.jpg)
![Page 35: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/35.jpg)
![Page 36: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/36.jpg)
![Page 37: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/37.jpg)
![Page 38: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/38.jpg)
![Page 39: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/39.jpg)
[10] Hybrid CORDIC, Wang, Swartzlander
[24] Fu & Willson Sine / Cosine Generation
![Page 40: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/40.jpg)
[24] Fu & Willson Sine / Cosine Generation
![Page 41: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/41.jpg)
![Page 42: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/42.jpg)
![Page 43: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/43.jpg)
![Page 44: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/44.jpg)
![Page 45: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/45.jpg)
![Page 46: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/46.jpg)
![Page 47: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/47.jpg)
![Page 48: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/48.jpg)
![Page 49: Hybrid CORDIC 1. Overview 20170920[24] D. Fu and A. N. Willson, Jr., "A high-speed processor for digital sine/ cosine generation and angle rotation," in Conf Rec. 32nd Asilomar](https://reader033.pdfslide.net/reader033/viewer/2022041906/5e637debc6a03a1fdf03bf09/html5/thumbnails/49.jpg)
