Vibration model identification using the maximum likelihood method

Pedro Escárate, María Coronel, Karen González, Rodrigo Carvajal, Juan C. Agüero

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations


Vibration effects acting in the science light path reduce the performance of the adaptive optics systems (AO). In order to mitigate the vibration effects and to improve the performance of the AO systems, an adequate model for the vibration in necessary. Traditionally, those vibrations are modelled as oscillators (with or without damping) driven by white noise. In this work, we address the identification of a continuous-time oscillator from discrete-time samples of the position. To this end, we use Maximum Likelihood estimation method to estimate the vibrations frequency.

Original languageEnglish
Title of host publicationAdaptive Optics Systems VI
EditorsDirk Schmidt, Laura Schreiber, Laird M. Close
ISBN (Print)9781510619593
StatePublished - 2018
Externally publishedYes
EventAdaptive Optics Systems VI 2018 - Austin, United States
Duration: 10 Jun 201815 Jun 2018

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceAdaptive Optics Systems VI 2018
Country/TerritoryUnited States


  • Adaptive Optics
  • Continuous-time oscillator
  • Identification
  • Maximum Likelihood
  • Vibrations


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