Main > Acta Optica Sinica >  Volume 34 >  Issue 2 >  Page 205001 > Article
  • Abstract
  • Abstract
  • View Summary
  • Figures (0)
  • Tables (0)
  • Equations (0)
  • References (16)
  • Get PDF(in Chinese)
  • Paper Information
  • Received: May. 30, 2013

    Accepted: --

    Posted: Feb. 1, 2014

    Published Online: Jan. 16, 2014

    The Author Email: Yingqiao Feng (

    DOI: 10.3788/aos201434.0205001

  • Get Citation
  • Copy Citation Text

    Feng Yingqiao, Wan Qiuhua, Song Chao, Sun Ying, Zhao Changhai. Interpolation of Small Photoelectric Encoder Based on Coordinate Rotation Digital Computer Algorithm[J]. Acta Optica Sinica, 2014, 34(2): 205001

    Download Citation

  • Category
  • Diffraction and Gratings
  • Share
Acta Optica Sinica, Vol. 34, Issue 2, 205001 (2014)

Interpolation of Small Photoelectric Encoder Based on Coordinate Rotation Digital Computer Algorithm

Yingqiao Feng1,2,*, Qiuhua Wan1, Chao Song1,2, Ying Sun1, and Changhai Zhao1

Author Affiliations

  • 1[in Chinese]
  • 2[in Chinese]


To improve the accuracy of small photoelectric encoders without increasing the size, the reason how interpolation errors are generated by the calculation method is analyzed. A new photoelectric encoder fine signals interpolation method based on coordinate rotation digital computer (CORDIC) algorithm is proposed, and it can make use of simple shifting and addition operations to directly interpolate acquired quadrature fine signals and resolve the phases, which can get rid of interpolation errors caused by looking up in the interpolation table. The algorithm is analyzed and improved finally, and the calculation speed is proved while maintaining appropriate accuracy. Moire fringe signals from a 16-bit small photoelectric encoder are interpolated into 256 parts with the suggested algorithm, and the root mean square error is decreased by a half compared to the calculation method. Experimental result shows that the new interpolation method can be directly applied to high-accuracy interpolation of moire fringe signals. It may play an important role in the further research and development of small and high-accuracy photoelectric encoders.


Please Enter Your Email: