Interpolation of multidimensional random processes with application to fluid flow

Jialin Zhong, Ronald Adrian, Thomas S. Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper investigates vector-valued multidimensional random process interpolation with application to interpolating the velocity fields of turbulent fluid flow. Three-dimensional particle positions in a turbulent flow can be measured experimentally. We model the velocity field as a vector-valued multidimensional random field. Based on this model, an algorithm to interpolate the velocity field of a turbulent flow is developed, which minimizes the mean squares error of linear estimation from known velocity points, utilizing special characteristics of the spectrum of turbulence.

Original languageEnglish (US)
Title of host publicationProceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Place of PublicationPiscataway, NJ, United States
PublisherPubl by IEEE
Volume5
ISBN (Print)0780309464
StatePublished - 1993
Externally publishedYes
EventIEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5) - Minneapolis, MN, USA
Duration: Apr 27 1993Apr 30 1993

Other

OtherIEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5)
CityMinneapolis, MN, USA
Period4/27/934/30/93

Fingerprint

random processes
Random processes
fluid flow
interpolation
Flow of fluids
Interpolation
velocity distribution
Turbulent flow
turbulent flow
turbulence
Mean square error
Turbulence

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

Zhong, J., Adrian, R., & Huang, T. S. (1993). Interpolation of multidimensional random processes with application to fluid flow. In Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing (Vol. 5). Piscataway, NJ, United States: Publ by IEEE.

Interpolation of multidimensional random processes with application to fluid flow. / Zhong, Jialin; Adrian, Ronald; Huang, Thomas S.

Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Vol. 5 Piscataway, NJ, United States : Publ by IEEE, 1993.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhong, J, Adrian, R & Huang, TS 1993, Interpolation of multidimensional random processes with application to fluid flow. in Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. vol. 5, Publ by IEEE, Piscataway, NJ, United States, IEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5), Minneapolis, MN, USA, 4/27/93.
Zhong J, Adrian R, Huang TS. Interpolation of multidimensional random processes with application to fluid flow. In Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Vol. 5. Piscataway, NJ, United States: Publ by IEEE. 1993
Zhong, Jialin ; Adrian, Ronald ; Huang, Thomas S. / Interpolation of multidimensional random processes with application to fluid flow. Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Vol. 5 Piscataway, NJ, United States : Publ by IEEE, 1993.
@inproceedings{88c4bc70d74d4e65be217e434d143d76,
title = "Interpolation of multidimensional random processes with application to fluid flow",
abstract = "This paper investigates vector-valued multidimensional random process interpolation with application to interpolating the velocity fields of turbulent fluid flow. Three-dimensional particle positions in a turbulent flow can be measured experimentally. We model the velocity field as a vector-valued multidimensional random field. Based on this model, an algorithm to interpolate the velocity field of a turbulent flow is developed, which minimizes the mean squares error of linear estimation from known velocity points, utilizing special characteristics of the spectrum of turbulence.",
author = "Jialin Zhong and Ronald Adrian and Huang, {Thomas S.}",
year = "1993",
language = "English (US)",
isbn = "0780309464",
volume = "5",
booktitle = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",
publisher = "Publ by IEEE",

}

TY - GEN

T1 - Interpolation of multidimensional random processes with application to fluid flow

AU - Zhong, Jialin

AU - Adrian, Ronald

AU - Huang, Thomas S.

PY - 1993

Y1 - 1993

N2 - This paper investigates vector-valued multidimensional random process interpolation with application to interpolating the velocity fields of turbulent fluid flow. Three-dimensional particle positions in a turbulent flow can be measured experimentally. We model the velocity field as a vector-valued multidimensional random field. Based on this model, an algorithm to interpolate the velocity field of a turbulent flow is developed, which minimizes the mean squares error of linear estimation from known velocity points, utilizing special characteristics of the spectrum of turbulence.

AB - This paper investigates vector-valued multidimensional random process interpolation with application to interpolating the velocity fields of turbulent fluid flow. Three-dimensional particle positions in a turbulent flow can be measured experimentally. We model the velocity field as a vector-valued multidimensional random field. Based on this model, an algorithm to interpolate the velocity field of a turbulent flow is developed, which minimizes the mean squares error of linear estimation from known velocity points, utilizing special characteristics of the spectrum of turbulence.

UR - http://www.scopus.com/inward/record.url?scp=0027309771&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027309771&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0780309464

VL - 5

BT - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

PB - Publ by IEEE

CY - Piscataway, NJ, United States

ER -