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Design and implementation of a high-precision bidirectional synchronous rotation
Received date: 2022-07-15
Online published: 2022-11-12
In the field of precision motor numerical control, the 16-bit wide coordinate rotation digital computer (CORDIC) algorithm presents several issues including a long output time, low operational accuracy, and poor stability. This paper proposes a high-precision bidirectional synchronous rotation CORDIC algorithm. Here in, through angle preprocessing and interval folding, the convergence interval is expanded, and the use of bidirectional synchronous rotation and error equalization improves the accuracy and robustness of the algorithm in the iterative process. Finally, the output is restored according to the interval results. In comparison with the traditional algorithm, the operational accuracy is increased by 76.3%, and the maximum output delay is reduced by 71.4% in hardware implementation. Thus, the proposed algorithm demonstrates the advantages of high precision, low latency, and stability.
ZHENG Chuanxi, GU Yuandong . Design and implementation of a high-precision bidirectional synchronous rotation[J]. Journal of Shanghai University, 2022 , 28(5) : 872 -882 . DOI: 10.12066/j.issn.1007-2861.2443
| [1] | Wang Y S, Xue Y Q, You H, et al. Area-energy efficient CORDICs using new elementary-angle-set and base-2 exponent expansions scheme[J]. IEICE Electronics Express, 2020, 18(2): 20200409. |
| [2] | Aggarwal S, Meher P K, Khare K. Concept, design, and implementation of reconfigurable CORDIC[J]. IEEE Transactions on Very Large Scale Integration Systems, 2016, 24(4): 1588-1592. |
| [3] | Mahdavi H, Timarchi S. Improving architectures of binary signed-digit CORDIC with generic/specific initial angles[J]. IEEE Transactions on Circuits and Systems Ⅰ: Regular Papers, 2020, 67(7): 2297-2304. |
| [4] | Mahdavi H, Timarchi S. Area—time—power efficient FFT architectures based on binary-signed-digit CORDIC[J]. IEEE Transactions on Circuits and Systems Ⅰ: Regular Papers, 2019, 66(10): 3874-3881. |
| [5] | Kulshreshtha T, Dhar A S. CORDIC-based Hann windowed sliding DFT architecture for real-time spectrum analysis with bounded error-accumulation[J]. IET Circuits Devices & Systems, 2017, 11(5): 487-495. |
| [6] | Shukla R, Ray K C. Low latency hybrid CORDIC algorithm[J]. IEEE Transactions on Computers, 2014, 63(12): 3066-3078. |
| [7] | Garrido M, Kallstrom P, Kumm M, et al. CORDIC Ⅱ: a new improved CORDIC algorithm[J]. IEEE Transactions on Circuits & Systems Ⅱ: Express Briefs, 2016, 63(2): 186-190. |
| [8] | 徐成, 秦云川, 李肯立, 等. 免缩放因子双步旋转 CORDIC 算法[J]. 电子学报, 2014, 42(7): 1441-1445. |
| [9] | 姚亚峰, 冯中秀, 陈朝. 超低时延免迭代 CORDIC 算法[J]. 西安电子科技大学学报(自然科学版), 2017, 44(4): 126-166. |
| [10] | 姚亚峰, 冯中秀, 陈朝. 直接旋转 CORDIC 算法及其高效实现[J]. 华中科技大学学报(自然科学版), 2016, 44(10): 113-118. |
| [11] | Mopuri S, Bhardwaj S, Acharyya A. Coordinate rotation-based design methodology for square root and division computation[J]. IEEE Transactions on Circuits & Systems Ⅱ: Express Briefs, 2019, 66(7): 1227-1231. |
| [12] | Hyukyeon L, Kyungmook O, Minjeong C, et al. Efficient low-latency implementation of CORDIC-based sorted QR decomposition formulti-Gbps MIMO systems[J]. IEEE Transactions on Circuitsand Systems Ⅱ: Express Briefs, 2018, 65(10): 1375-1379. |
| [13] | 邹家轩, 揭灿, 王栋, 等. 双向预判免缩放因子 CORDIC 算法[J]. 哈尔滨工业大学学报, 2021, 53(2): 47-52. |
| [14] | Shiri A. A novel implementation of CORDIC algorithm based on dynamic microrotation generation[J]. International Journal of Electrical and Computer Sciences, 2021, 3(1): 17-27. |
| [15] | Li D, Zhao D. High-throughput low-power area-efficient outphasing modulator based on unrolled and pipelined radix-2 CORDIC[J]. IEEE Transactions on Very Large Scale Integration Systems, 2020, 28(2): 480-491. |
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