Suboptimal filtering and nonlinear time scale transformation for the analysis of multiexponential decays

Author

Palacìn, Jordi ; Marco, Santiago ; Samitier, Josep

Volume

50

Issue

1

fYear

2001

fDate

2/1/2001 12:00:00 AM

Firstpage

135

Lastpage

140

Abstract

Multiexponential decays may contain time-constants differing in several orders of magnitudes. In such cases, uniform sampling results in very long records featuring a high degree of oversampling at the final part of the transient. Here, we analyze a nonlinear time scale transformation to reduce the total number of samples with minimum signal distortion, achieving an important reduction of the computational cost of subsequent analyses. We propose a time-varying filter whose length is optimized for minimum mean square error

Keywords

data reduction; filtering theory; interference suppression; least mean squares methods; moving average processes; signal sampling; time-varying filters; transforms; transient analysis; Gardner transform; computational cost reduction; data reduction; length optimization; minimum mean square error; minimum signal distortion; multiexponential decays analysis; nonlinear time scale transformation; nonuniform sampling; oversampling; suboptimal filtering; time-constants; time-varying filter; transients; Bandwidth; Computational efficiency; Filtering; Filters; Laboratories; Nonlinear distortion; Sampling methods; Signal analysis; Spectroscopy; Transient analysis;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.903891

Filename

903891