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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: A223–A234

Kalman filtering to suppress spurious signals in adaptive optics control

Lisa A. Poyneer and Jean-Pierre Véran  »View Author Affiliations


JOSA A, Vol. 27, Issue 11, pp. A223-A234 (2010)
http://dx.doi.org/10.1364/JOSAA.27.00A223


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Abstract

In many scenarios, an adaptive optics (AO) control system operates in the presence of temporally non-white noise. We use a Kalman filter with a state space formulation that allows suppression of this colored noise, hence improving residual error over the case where the noise is assumed to be white. We demonstrate the effectiveness of this new filter in the case of the estimated Gemini Planet Imager tip–tilt environment, where there are both common-path and non-common-path vibrations. We discuss how this same framework can also be used to suppress spatial aliasing during predictive wavefront control assuming frozen flow in a low-order AO system without a spatially filtered wavefront sensor, and present experimental measurements from Altair that clearly reveal these aliased components.

© 2010 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1285) Atmospheric and oceanic optics : Atmospheric correction

History
Original Manuscript: April 2, 2010
Revised Manuscript: July 24, 2010
Manuscript Accepted: August 13, 2010
Published: September 27, 2010

Citation
Lisa A. Poyneer and Jean-Pierre Véran, "Kalman filtering to suppress spurious signals in adaptive optics control," J. Opt. Soc. Am. A 27, A223-A234 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-11-A223


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References

  1. B. Le Roux, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, L. M. Mugnier, and T. Fusco, “Optimal control law for classical and multiconjugate adaptive optics,” J. Opt. Soc. Am. A 21, 1261–1276 (2004). [CrossRef]
  2. L. A. Poyneer, B. A. Macintosh, and J.-P. Véran, “Fourier transform wavefront control with adaptive prediction of the atmosphere,” J. Opt. Soc. Am. A 24, 2645–2660 (2007). [CrossRef]
  3. C. Petit, J. M. Conan, C. Kulcsár, H. F. Raynaud, and T. Fusco, “First laboratory validation of vibration filtering with LQG control law for adaptive optics,” Opt. Express 16, 87–97 (2008). [CrossRef] [PubMed]
  4. D. P. Looze, “Linear-quadratic-Gaussian control for adaptive optics systems using a hybrid model,” J. Opt. Soc. Am. A 26, 1–9 (2009). [CrossRef]
  5. C. Correia, H.-F. Raynaud, C. Kulcsár, and J.-M. Conan, “On the optimal reconstruction and control of adaptive optical systems with mirror dynamics,” J. Opt. Soc. Am. A 27, 333–349 (2010). [CrossRef]
  6. C. Petit, “Étude de la commande optimale en OA et OAMC, validation numérique et expérimentale,” Ph.D. thesis (L’Université Paris 13, 2006).
  7. B. Macintosh, J. Graham, D. Palmer, R. Doyon, D. Gavel, J. Larkin, B. Oppenheimer, L. Saddlemyer, J. K. Wallace, B. Bauman, J. Evans, D. Erikson, K. Morzinski, D. Phillion, L. Poyneer, A. Sivaramakrishnan, R. Soummer, S. Thibault, and J.-P. Véran, “The Gemini Planet Imager,” Proc. SPIE 6272, 62720L (2006). [CrossRef]
  8. J. Candy, Model-Based Signal Processing (Wiley, 2005). [CrossRef]
  9. L. A. Poyneer and J.-P. Véran, “Predictive wavefront control for adaptive optics with arbitrary control loop delays,” J. Opt. Soc. Am. A 25, 1486–1496 (2008). [CrossRef]
  10. D. P. Looze, “Minimum variance control structure for adaptive optics systems,” J. Opt. Soc. Am. A 23, 603–612 (2006). [CrossRef]
  11. A. Sivaramakrishnan, R. Soummer, L. Pueyo, J. K. Wallace, and M. Shao, “Sensing phase aberrations behind Lyot coronagraphs,” J. Astrophys. Astron. 688, 701–708 (2008). [CrossRef]
  12. J.-M. Conan, G. Rousset, and P.-Y. Madec, “Wave-front temporal spectra in high-resolution imaging through turbulence,” J. Opt. Soc. Am. A 12, 1559–1570 (1995). [CrossRef]
  13. D. G. MacMynowski, K. Vogiatzis, G. Z. Angeli, J. Fitzsimmons, and J. E. Nelson, “Wind loads on ground-based telescopes,” Appl. Opt. 45, 7912–7923 (2006). [CrossRef] [PubMed]
  14. TMT reference document, “Observatory architecture document (OAD),” Tech. Rep. TMT.SEN.DRD.05.002.CCR18, TMT (2007).
  15. J.-P. Véran and L. Poyneer, “Evaluation of the T/T conditions at Gemini South using NICI AO telemetry data,” in 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes, Y.Clénet, J.-M.Conan, T.Fusco, and G.Rousset, eds. (EDP Sciences, 2009), 05002.
  16. L. A. Poyneer and B. Macintosh, “Spatially filtered wave-front sensor for high-order adaptive optics,” J. Opt. Soc. Am. A 21, 810–819 (2004). [CrossRef]
  17. T. Fusco, C. Petit, G. Rousset, J.-M. Conan, and J.-L. Beuzit, “Closed-loop experimental validation of the spatially filtered Shack–Hartmann concept,” Opt. Lett. 30, 1255–1257 (2005). [CrossRef] [PubMed]
  18. F. J. Rigaut, J.-P. Véran, and O. Lai, “Analytical model for Shack-Hartmann-based adaptive optics systems,” Proc. SPIE 3353, 1038–1048 (1998). [CrossRef]
  19. J.-P. Véran, F. Rigaut, H. Maitre, and D. Rouan, “Estimation of the adaptive optics long-exposure point-spread function using control loop data,” J. Opt. Soc. Am. A 14, 3057–3069 (1997). [CrossRef]
  20. L. A. Poyneer, M. A. van Dam, and J.-P. Véran, “Experimental verification of the frozen flow atmospheric turbulence assumption with use of astronomical adaptive optics telemetry,” J. Opt. Soc. Am. 26, 833–846 (2009). [CrossRef]
  21. L. A. Poyneer, D. T. Gavel, and J. M. Brase, “Fast wave-front reconstruction in large adaptive optics systems with use of the Fourier transform,” J. Opt. Soc. Am. A 19, 2100–2111 (2002). [CrossRef]
  22. A. V. Oppenheim, A. S. Willsky, and S. H. Nawab, Signals and Systems, 2nd ed. (Prentice Hall, 1997).
  23. L. Jolissaint, J.-P. Véran, and R. Conan, “Analytical modeling of adaptive optics: foundations of the phase spatial power spectrum approach,” J. Opt. Soc. Am. A 23, 382–394 (2006). [CrossRef]
  24. L. A. Poyneer, A. Norton, and D. Dillon, “Open-loop shaping of a 4k mems with Fourier-domain pre-compensation,” in Adaptive Optics: Methods, Analysis and Applications, OSA Technical Digest (CD) (Optical Society of America, 2009), paper JTuC3.
  25. C. Petit, J.-M. Conan, C. Kulcsár, and H.-F. Raynaud, “Linear quadratic Gaussian control for adaptive optics and multiconjugate adaptive optics: experimental and numerical analysis,” J. Opt. Soc. Am. A 26, 1307–1325 (2009). [CrossRef]

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