An appraisal of gardner transform-based methods of transient multiexponential signal analysis
There are several problems in applied science in which experimental observations can be accurately represented by a sum of exponential decay functions in which the amplitudes, decay rates and number of components have different physical interpretations and need to be estimated. A parameter esti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
International Association of Computer Science and Information Technology Press (IACSIT)
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/25572/ http://irep.iium.edu.my/25572/ http://irep.iium.edu.my/25572/1/420-G1208.pdf |
| Summary: | There are several problems in applied science in
which experimental observations can be accurately represented
by a sum of exponential decay functions in which the
amplitudes, decay rates and number of components have
different physical interpretations and need to be estimated. A
parameter estimation technique of multicomponent exponential
functions that has undergone many modifications is the
Gardner transform in which a nonlinear transformation is used
to convert the data signal into a convolution model containing
the parameters of interest. Modifications of this early technique
include modification of the original transform or deconvolution
procedure and additional processing of the deconvolved data to
obtain better estimates of the desired parameters. This paper
presents an appraisal of Gardner transform and its variants. It
discusses major modifications and their implications to the
overall results of analysis. |
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