article · Review of Scientific Instruments · 2014

Twiddle factor neutralization method for heterodyne velocimetry

Tianjiong Tao, Shenggang Liu, Heli Ma, Mu Li, Xianming Zhou, Xiang Wang, Jidong Weng

Cited by 4Abstract and details only

Abstract

Twiddle factor is considered to be the dominant error source of frequency estimate by Fourier transformation (FT), and thus impacts the accuracy in FT-based heterodyne velocimetry. Here we report a novel data analysis method for heterodyne velocimetry, which utilizes the change law of frequency errors with signals' phases to develop twiddle factor neutralization method, improving the performance of heterodyne velocimetry. Numerical simulations show that this method can improve velocity resolution by many times as compared to the boxcar, Hamming, and Hann window functions under different noise conditions. A 90° optical hybrid is used to generate four phase shifted signals for this method, and 1 m/s level velocity resolution and 100 ps level time resolution are simultaneously achieved in laser-shock experiments.

Cite this paper

APA 7

Tao, T., Liu, S., Ma, H., Li, M., Zhou, X., Wang, X., & Weng, J. (2014). Twiddle factor neutralization method for heterodyne velocimetry. Review of Scientific Instruments, 85(1), 013101. https://doi.org/10.1063/1.4859598

MLA 9

Tao, Tianjiong, et al. “Twiddle factor neutralization method for heterodyne velocimetry.” Review of Scientific Instruments, vol. 85, no. 1, 2014, p. 013101, https://doi.org/10.1063/1.4859598.

Chicago

Tao, Tianjiong, Shenggang Liu, Heli Ma, Mu Li, Xianming Zhou, Xiang Wang, and Jidong Weng. 2014. “Twiddle factor neutralization method for heterodyne velocimetry.” Review of Scientific Instruments 85 (1): 013101. https://doi.org/10.1063/1.4859598.

Harvard

Tao, T. et al. (2014) ‘Twiddle factor neutralization method for heterodyne velocimetry’, Review of Scientific Instruments, 85(1), p. 013101. Available at: https://doi.org/10.1063/1.4859598.

BibTeX

@article{tao2014twiddle,
  title = {{Twiddle factor neutralization method for heterodyne velocimetry}},
  author = {Tao, Tianjiong and Liu, Shenggang and Ma, Heli and Li, Mu and Zhou, Xianming and Wang, Xiang and Weng, Jidong},
  journal = {Review of Scientific Instruments},
  volume = {85},
  number = {1},
  pages = {013101},
  year = {2014},
  doi = {10.1063/1.4859598}
}

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