Singular Value Inversion Applied to the Doppler Velocimetry Kernel

J. G. Rarity; E. R. Pike; E. R. Pike; R. G. W. Brown

doi:10.1364/PCTA.1988.PCMDR8

Photon Correlation Techniques and Applications
Technical Digest Series (Optica Publishing Group, 1988),
paper PCMDR8
•https://doi.org/10.1364/PCTA.1988.PCMDR8

Singular Value Inversion Applied to the Doppler Velocimetry Kernel

J. G. Rarity, E. R. Pike, and R. G. W. Brown

Photon Correlation Techniques and Applications 1988

Washington, DC United States
31 May–2 June 1988
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Photon Correlation Methods and Data Reduction (PCMDR)

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J. G. Rarity, E. R. Pike, and R. G. W. Brown, "Singular Value Inversion Applied to the Doppler Velocimetry Kernel," in Photon Correlation Techniques and Applications, Technical Digest Series (Optica Publishing Group, 1988), paper PCMDR8.

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Abstract

We use a generalised matrix diagonalisation approach to obtain the singular system of the photon correlation laser Doppler-difference velocimetry kernel. We demonstrate inversion of simulated and real velocimetry data and compare this technique with earlier inversion methods using cubic spline based orthogonal functions.

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