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.
© 2005 Optical Society of America
Full Article | PDF ArticleMore Like This
Wei Wang, Nobuo Ishii, Steen G. Hanson, Yoko Miyamoto, and Mitsuo Takeda
Appl. Opt. 44(23) 4909-4915 (2005)
Shun Zhang, Yi Yang, Steen G. Hanson, Mitsuo Takeda, and Wei Wang
Appl. Opt. 54(28) 8561-8565 (2015)
Wei Wang, Shun Zhang, and Ning Ma
Appl. Opt. 53(10) B147-B152 (2014)