2005Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIERequires access

A one-dimensional discrete Hilbert transform for interferometric phases

Ribun Onodera, Yukihiro Ishii

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Abstract

The phase-demodulation scheme by using a discrete Hilbert transform that can change the interferometric phase by π/2 has been investigated. In-quadrature components of a fringe pattern are obtained from one captured interferogram by using a one-dimensional (1-D) discrete Hilbert transform and a 1-D discrete high-pass filtering that are based on a digital signal processing technique. The 1-D discrete Hilbert transform can be extended to two-dimensional calculation with a raster scanning procedure.

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What this paper is about

The phase-demodulation scheme by using a discrete Hilbert transform that can change the interferometric phase by π/2 has been investigated. In-quadrature components of a fringe pattern are obtained from one captured interferogram by using a one-dimensional (1-D) discrete Hilbert transform and a 1-D discrete high-pass filtering that are based on a digital signal processing technique. The 1-D discrete Hilbert transform can be extended to two-dimensional calculation with a raster scanning procedure.

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Available abstract

The phase-demodulation scheme by using a discrete Hilbert transform that can change the interferometric phase by π/2 has been investigated. In-quadrature components of a fringe pattern are obtained from one captured interferogram by using a one-dimensional (1-D) discrete Hilbert transform and a 1-D discrete high-pass filtering that are based on a digital signal processing technique. The 1-D discrete Hilbert transform can be extended to two-dimensional calculation with a raster scanning procedure.

Key concepts: Interferometry, Hilbert transform, Hilbert spectral analysis, Computer science, Mathematics, Algorithm, Physics, Optics

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