@inproceedings{212ef225815243859c1e9e6e9542ab19,
title = "Riesz transforms in statistical signal processing and their applications to speckle metrology: a review",
abstract = "In this paper, a high-dimensional statistical signal processing is revisited with the aim of introducing the concept of vector signal representation derived from the Riesz transforms, which are the natural extension and generalization of the one-dimensional Hilbert transform. Under the new concepts of vector correlations proposed recently, the statistical properties of the vector signal representation for random signal are presented and some applications to speckle metrology developed recently are reviewed to demonstrate the unique capability of Riesz transforms.",
author = "Wei Wang and Shun Zhang and Ning Ma and Hanson, {Steen Gr{\"u}ner} and Mitsuo Takeda",
note = "Copyright 2015 Society of Photo Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic electronic or print reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.; 2014 International Conference on Photonics and Optical Engineering, icPOE 2014 ; Conference date: 13-10-2014 Through 15-10-2014",
year = "2015",
doi = "10.1117/12.2081318",
language = "English",
volume = "9449",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE - International Society for Optical Engineering",
booktitle = "Proceedings of SPIE",
}