An improved arctangent algorithm based on phase-locked loop for heterodyne detection system

doi:10.1088/1674-1056/28/3/030701

中国物理B ›› 2019, Vol. 28 ›› Issue (3): 30701-030701.doi: 10.1088/1674-1056/28/3/030701

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

An improved arctangent algorithm based on phase-locked loop for heterodyne detection system

Chun-Hui Yan(晏春回), Ting-Feng Wang(王挺峰), Yuan-Yang Li(李远洋), Tao Lv(吕韬), Shi-Song Wu(吴世松)

1 State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2018-09-11 修回日期:2018-12-27 出版日期:2019-03-05 发布日期:2019-03-05
通讯作者: Ting-Feng Wang E-mail:tingfeng_w@sina.com
基金资助:
Project supported by Key Research Program of Frontier Science, Chinese Academy of Sciences (Grant No. QYZDB-SSW-SLH014) and the Yong Scientists Fund of the National Natural Science Foundation of China (Grant No. 61205143).

An improved arctangent algorithm based on phase-locked loop for heterodyne detection system

Chun-Hui Yan(晏春回)^1,2, Ting-Feng Wang(王挺峰)¹, Yuan-Yang Li(李远洋)¹, Tao Lv(吕韬)^1,2, Shi-Song Wu(吴世松)^1,2

1 State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China

Received:2018-09-11 Revised:2018-12-27 Online:2019-03-05 Published:2019-03-05
Contact: Ting-Feng Wang E-mail:tingfeng_w@sina.com
Supported by:
Project supported by Key Research Program of Frontier Science, Chinese Academy of Sciences (Grant No. QYZDB-SSW-SLH014) and the Yong Scientists Fund of the National Natural Science Foundation of China (Grant No. 61205143).

摘要/Abstract

摘要：

We present an ameliorated arctangent algorithm based on phase-locked loop for digital Doppler signal processing, utilized within the heterodyne detection system. We define the error gain factor given by the approximation of Taylor expansion by means of a comparison of the measured values and true values. Exact expressions are derived for the amplitude error of two in-phase & quadrature signals and the frequency error of the acousto-optic modulator. Numerical simulation results and experimental results make it clear that the dynamic instability of the intermediate frequency signals leads to cumulative errors, which will spiral upward. An improved arctangent algorithm for the heterodyne detection is proposed to eliminate the cumulative errors and harmonic components. Depending on the narrow-band filter, our experiments were performed to realize the detectable displacement of 20 nm at a detection distance of 20 m. The aim of this paper is the demonstration of the optimized arctangent algorithm as a powerful approach to the demodulation algorithm, which will advance the signal-to-noise ratio and measurement accuracy of the heterodyne detection system.

关键词: heterodyne detection, laser applications, arctangent algorithm, phase-locked loop

Abstract:

Key words: heterodyne detection, laser applications, arctangent algorithm, phase-locked loop

中图分类号: (Interferometers)

07.60.Ly

42.62.-b (Laser applications) 42.87.-d (Optical testing techniques)

晏春回, 王挺峰, 李远洋, 吕韬, 吴世松. An improved arctangent algorithm based on phase-locked loop for heterodyne detection system[J]. 中国物理B, 2019, 28(3): 30701-030701.

Chun-Hui Yan(晏春回), Ting-Feng Wang(王挺峰), Yuan-Yang Li(李远洋), Tao Lv(吕韬), Shi-Song Wu(吴世松). An improved arctangent algorithm based on phase-locked loop for heterodyne detection system[J]. Chin. Phys. B, 2019, 28(3): 30701-030701.

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An improved arctangent algorithm based on phase-locked loop for heterodyne detection system

An improved arctangent algorithm based on phase-locked loop for heterodyne detection system

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