Pseudophase information from the complex analytic signal of speckle fields and its applications. Part I: Statistical properties of the analytic signal of a white-light speckle pattern applied to the microdisplacement measurement

W. Wang, N. Ishii, Steen Grüner Hanson, Y. Miyamoto, M. Takeda

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    To provide a theoretical background for the superiority of the signal-domain phase-only correlation (SDPOC) technique proposed here for microdisplacement measurement, we study the first- and the second-order statistical properties of the complex amplitude of an analytic signal of a white-light speckle pattern, under the assumption of a Gaussian random process, and give a formula for the autocorrelation function of the pseudophase associated with the complex analytic signal. Based on these results, we show mathematically that SDPOC has a performance advantage over conventional intensity-based correlation techniques.
    Original languageEnglish
    JournalApplied Optics
    Volume44
    Issue number23
    Pages (from-to)4916-4921
    ISSN1559-128X
    DOIs
    Publication statusPublished - 2005

    Fingerprint

    Dive into the research topics of 'Pseudophase information from the complex analytic signal of speckle fields and its applications. Part I: Statistical properties of the analytic signal of a white-light speckle pattern applied to the microdisplacement measurement'. Together they form a unique fingerprint.

    Cite this