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一种CORDIC算法的精度分析及其在FFT设计中的应用 被引量：11

Numerical Accuracy of a CORDIC Algorithm and its Application
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摘要 针对CORDIC算法的精度问题进行了理论分析,首先研究了CORDIC算法中旋转级数、操作数位宽与精度的关系,并将这一结果实际应用于FFT算法的FPGA设计实现中。经实际验证,这种分析的结果是合理的,可作为设计过程中选取旋转级数和操作数数据位宽的参考。 The vector rotation operation is extensively employed in signal processing and image processing. In this paper, a CORDIC algorithm is implemented in realizing vector rotation. A detailed error analysis is given and the result is applied to aid the choice of the number of the CORDIC iterations and the internal word length during the practical design procedure.
作者 韩芳 初建朋 赖宗声
机构地区 华东师范大学微电子电路与系统研究所
出处 《微电子学与计算机》 CSCD 北大核心 2004年第7期14-16,20,共4页 Microelectronics & Computer
基金 上海市科委项目PDC(027062012)
关键词 向量旋转 CORDIC算法 FPGA 误差 Vector rotation, CORDIC algorithm, FPGA, Error
分类号 TN4 [电子电信—微电子学与固体电子学]
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参考文献7

  • 1J E Volder. The CORDIC trigonometric computing technique[J]. IRE Trans. Electron. Computers, 1959,9: 330～334.
  • 2J. S. Walter. A unified algorithm for elementary Functions[A]. AFIPS Spring Joint Computer Conference[C], 1 971;38:379～385.
  • 3李岩,汪海明,郭士德,赵建业,余道衡.CORDIC算法在DSP算法硬件实现中的应用进展[J].现代电子技术,2002,25(6):85-89. 被引量：11
  • 4Roberto Sarmiento, F′elix Tobajas,Valentin de Armas, et al.A CORDIC Processor for FFT Computation and Its Implementation Using Gallium Arsenide Technology [J]. IRE Trans. VLSI Systems, 1998;3: 19.
  • 5Yu Hen Hu. The Quantization Effects of the CORDIC Algorithm [J]. IRE. Trans. Signal Processing, 1992; 4: 834～844.
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  • 7Shen-Fu Hsiao, Jen-Yin Chen. Design, Implementation and Analysis of a New Redundant CORDIC Processor with Constant Scaling Factor and Regular Structure [J]. Journal of VLSI Signal Processing, 1998; 20: 267～278.

二级参考文献17

  • 1YU Hen Hu. on the convergence of the CORDIC adaptive lattice filtering (CALF) Algorithm. IEEE transaction on signal prosessing, Vol. 46, No. 7, July, 1998, 1861～1871
  • 2Rao K R, Yip P. Discrete Cosine Transform. New York: Academic. 1990, 48～82
  • 3Shin'ichi shiraishi, Miki HAseyama, Hideo KItajima. A highly accurate pipelined architecture for a CORDIC ARMA lattice filter. ISCAS 2000-IEEE international Symposium on circuit and system.Geneva, Switzerland, 2000, 369～372
  • 4Jun Ma, Keshab, parhi K, et al. Efficient implementations of Pipelined CORDIC Based IIR Digital filters using Fast orthogonal u rotations. IEEE transaction on signal processing. Vol. 48, No. 9, September, 2000,2712～2716
  • 5Lijun Gao, Keshab, Parhi K. Hierarchical Pipelining and Folding of QRD-RLS Adaptive Filters and Its Application to Digital Beam forming. IEEE transaction on circuit and system Ⅱ: Analog and Digital Signal Processing, Vol. 47, No. 12. December, 2000, 1503～1519
  • 6Tso bing, Juang, Hsiu feng lin. CORDIC algorithm for vectoring mode without constant scaling factors. Electronics letters. 10th June, 1999, Vol. 35, No. 12:971～972
  • 7Elisardo Antelo, Tomas, Javier Bruguara DB. Very high radix circular CORDIC: Vectoring and unified rotation/vectoring. IEEE transaction on computer, Vol. 49. No. 7, July, 2000, 727～739
  • 8Cheng Shing Wu, An Yeu Wu. Modified Vector Rotational CORDIC (MVR-CORDIC) Algorithm and Architecture. IEEE transaction on circuit and system Ⅱ: analog and digital signal processing, Vol 48,No. 6, June, 2001, 548～561
  • 9Xiaobo Ronald Hu, Harber G, Steven Bass C. Expanding the range of Convergence of the CORDIC of the CORDIC Algorithm. IEEE Transactions on Computer, 1991 (40): 13～20
  • 10Sarmiento R, Eshraghian K. Implementation of a CORDIC Processor for CFFT Computation in Gallium Arsenide Technology. Proc. of the European Design and Test Conference Proc Eur Des Test Conf 1994,Publ by IEEE, Computer Society Press, Los Alamitos, CA, 1994, 238～244

共引文献10

同被引文献59

引证文献11

二级引证文献29

微电子学与计算机
2004年 第7期

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