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 language | English |
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Journal | Applied Optics |
Volume | 44 |
Issue number | 23 |
Pages (from-to) | 4916-4921 |
ISSN | 1559-128X |
DOIs | |
Publication status | Published - 2005 |