NDLI: Phase Local Approximation (<emphasis>PhaseLa</emphasis>) Technique for Phase Unwrap From Noisy Data

Content Provider	IEEE Xplore Digital Library
Author	Katkovnik, V. Astola, J. Egiazarian, K.
Copyright Year	1992
Abstract	The local polynomial approximation (LPA) is a nonparametric regression technique with pointwise estimation in a sliding window. We apply the LPA of the argument of cos and sin in order to estimate the absolute phase from noisy wrapped phase data. Using the intersection of confidence interval (ICI) algorithm, the window size is selected as adaptive pointwise varying. This adaptation gives the phase estimate with the accuracy close to optimal in the mean squared sense. For calculations, we use a Gauss-Newton recursive procedure initiated by the phase estimates obtained for the neighboring points. It enables tracking properties of the algorithm and its ability to go beyond the principal interval (-pi,pi) and to reconstruct the absolute phase from wrapped phase observations even when the magnitude of the phase difference takes quite large values. The algorithm demonstrates a very good accuracy of the phase reconstruction which on many occasion overcomes the accuracy of the state-of-the-art algorithms developed for noisy phase unwrap. The theoretical analysis produced for the accuracy of the pointwise estimates is used for justification of the ICI adaptation algorithm.
Sponsorship	IEEE Signal Processing Society
Page Count	14
File Size	2310639
Starting Page	833
Ending Page	846
File Format	PDF
ISSN	10577149
Volume Number	17
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Phase noise Phase estimation Image reconstruction Polynomials Signal processing algorithms Optical imaging Phase measurement Magnetic field measurement Wrapping Additive noise phase unwrapping Adaptive window size interferometric imaging local polynomial approximation (LPA) phase image reconstruction
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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