DocumentCode :
2031661
Title :
Interpolation of multidimensional random processes with application to fluid flow
Author :
Zhong, Jaalan ; Adrian, Ronald J. ; Huang, Thomas S.
Author_Institution :
Beckman Inst., Illinois Univ., Urbana, IL, USA
Volume :
5
fYear :
1993
fDate :
27-30 April 1993
Firstpage :
181
Abstract :
Vector-valued multidimensional random process interpolation is investigated with application to interpolating the velocity fields of turbulent fluid flow. The authors first model and define the problem of interpolating velocity fields from PTV (particle tracking velocimetry) data as a random process problem, and then derive the minimum mean squares error filters, which are the optimum interpolants, for the case of homogeneous turbulence. A windowed interpolation algorithm was applied to synthesized flow fields. The velocity field is modeled as a random field and the particle positions are approximated by a Poisson point process. The interpolation of this random field from these Poisson points can be solved as a minimum mean squares error problem. The minimum mean squares errors of the interpolation algorithm are analyzed as a function of data density.<>
Keywords :
interpolation; multidimensional systems; particle tracks; random processes; turbulence; velocity measurement; Poisson point process; homogeneous turbulence; minimum mean squares error filters; multidimensional random process interpolation; particle tracking velocimetry; turbulent fluid flow; windowed interpolation algorithm;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on
Conference_Location :
Minneapolis, MN, USA
ISSN :
1520-6149
Print_ISBN :
0-7803-7402-9
Type :
conf
DOI :
10.1109/ICASSP.1993.319777
Filename :
319777
Link To Document :
بازگشت