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Use of adaptive RLS, LMS, and NLMS algorithms for nonlinearity modeling in a modified laser interferometer

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Abstract

Laser heterodyne interferometer is one kind of nano-metrology systems which has been widely used in industry for high-accuracy displacement measurements. The accuracy of the nano-metrology systems based on the laser heterodyne interferometers can be effectively limited by the periodic nonlinearity. In this paper, we present the nonlinearity modeling of the nano-metrology interferometric system using some adaptive filters. The adaptive algorithms consist of the least mean squares (LMS), normalized least mean squares (NLMS), and recursive least squares (RLS). It is shown that the RLS algorithm can obtain optimal modeling parameters of nonlinearity.

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Authors and Affiliations

  1. Nano-Photonics and Optoelectronics Research Laboratory, Faculty of Electrical and Computer Engineering, Shahid Rajaee Teacher Training University (SRTTU), Lavizan, 16788, Tehran, Iran

    Saeed Olyaee, Mohammad Shams Esfand Abadi, Samaneh Hamedi & Fatemeh Finizadeh

Authors
  1. Saeed Olyaee
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  2. Mohammad Shams Esfand Abadi
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  3. Samaneh Hamedi
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  4. Fatemeh Finizadeh
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Correspondence to Saeed Olyaee.

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Olyaee, S., Abadi, M.S.E., Hamedi, S. et al. Use of adaptive RLS, LMS, and NLMS algorithms for nonlinearity modeling in a modified laser interferometer. Front. Optoelectron. China 3, 264–269 (2010). https://doi.org/10.1007/s12200-010-0095-8

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  • DOI: https://doi.org/10.1007/s12200-010-0095-8

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