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Hilbert transform and noise

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33117931" target="_blank" >RIV/61989592:15310/11:33117931 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hilbert transform and noise

  • Original language description

    Hilbert transform is a suitable tool to calculate the envelope of a modulated signal. Its typical use in optics is the calculation of the envelope of the interferogram in white-light interferometry. The longitudinal coordinate of the measured object is determined from the position of the center of the envelope. However, the electric signal at the output of the camera is affected by the noise. The dominant component of the noise is the shot noise caused by the non-uniform arrival of the photons to the detector. If the noised signal is evaluated by Hilbert transform, the form of the calculated envelope is also, of course, influenced by the noise and the result of the measurement is affected by an error. In our contribution, we look for the answer on following questions: How does the noise of the evaluated envelope differ from the noise of the original signal? How does the shot noise influence the longitudinal measurement uncertainty of white-light interferometry?

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BH - Optics, masers and lasers

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    International Conference Applied Natural Sciences 2011

  • ISBN

    978-80-8105-266-8

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    141-144

  • Publisher name

    Univerzita sv. Cyrila a Metoda

  • Place of publication

    Trnava

  • Event location

    Papiernička - Častá, Slovensko

  • Event date

    Oct 5, 2011

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article