Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques

Previous work has shown that the deconvolution technique is one of the most effective procedures for analyzing transient exponentially decaying signals. Direct deconvolution approach often leads to poor resolution of ihe estimated decay rates since the fast Fourier transform (FFT) algorithm is...

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Main Authors: Salami, Momoh Jimoh Eyiomika, Ismail, Z.
Format: Proceeding Paper
Language:English
Published: 2003
Subjects:
Online Access:http://irep.iium.edu.my/6945/
http://irep.iium.edu.my/6945/1/Analysis_of_Multiexponential_Transient_signals_Using_Interpolation-Based.pdf
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author Salami, Momoh Jimoh Eyiomika
Ismail, Z.
author_facet Salami, Momoh Jimoh Eyiomika
Ismail, Z.
author_sort Salami, Momoh Jimoh Eyiomika
building IIUM Repository
collection Online Access
description Previous work has shown that the deconvolution technique is one of the most effective procedures for analyzing transient exponentially decaying signals. Direct deconvolution approach often leads to poor resolution of ihe estimated decay rates since the fast Fourier transform (FFT) algorithm is used to analyze the resulting deconvolved data. One of the most promising approaches is based on optimal inverse Xltering followed by fitting an autoregressive moving average ( A M ) model to the deconvolved data so that its AR parameters are determined by solving high order Yule- Walker equations (HOYWE) via the singular value decomposition (SVD) algorithm. Many desirable results have been obtained by using this technique for both clean and noisy signals. However, the real-time implementation of this algorithm poses some diflculties since nonlinear transformation is involved in such analysis. One method of overcoming this d1ficulty is by incorporating the spline interpolation algorithm into the nonlinear preprocessing procedure. The performance of the proposed algorithm in accurately estimating the number of exponential signals and their corresponding exponential consfanis for both simulated and real data is investigated in this paper. Results of analysis have shown that high-resolution estimates of decay constants are obtained when the proposed algorithm is used to analyze multiexponential signals with varied signal-tonoise (SNR) ratio.
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spelling iium-69452013-05-08T06:41:37Z http://irep.iium.edu.my/6945/ Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques Salami, Momoh Jimoh Eyiomika Ismail, Z. T Technology (General) Previous work has shown that the deconvolution technique is one of the most effective procedures for analyzing transient exponentially decaying signals. Direct deconvolution approach often leads to poor resolution of ihe estimated decay rates since the fast Fourier transform (FFT) algorithm is used to analyze the resulting deconvolved data. One of the most promising approaches is based on optimal inverse Xltering followed by fitting an autoregressive moving average ( A M ) model to the deconvolved data so that its AR parameters are determined by solving high order Yule- Walker equations (HOYWE) via the singular value decomposition (SVD) algorithm. Many desirable results have been obtained by using this technique for both clean and noisy signals. However, the real-time implementation of this algorithm poses some diflculties since nonlinear transformation is involved in such analysis. One method of overcoming this d1ficulty is by incorporating the spline interpolation algorithm into the nonlinear preprocessing procedure. The performance of the proposed algorithm in accurately estimating the number of exponential signals and their corresponding exponential consfanis for both simulated and real data is investigated in this paper. Results of analysis have shown that high-resolution estimates of decay constants are obtained when the proposed algorithm is used to analyze multiexponential signals with varied signal-tonoise (SNR) ratio. 2003 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/6945/1/Analysis_of_Multiexponential_Transient_signals_Using_Interpolation-Based.pdf Salami, Momoh Jimoh Eyiomika and Ismail, Z. (2003) Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques. In: International Conference on Industrial Technology 2003, 10-12th December 2003, Maribor, Slovenia.
spellingShingle T Technology (General)
Salami, Momoh Jimoh Eyiomika
Ismail, Z.
Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques
title Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques
title_full Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques
title_fullStr Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques
title_full_unstemmed Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques
title_short Analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques
title_sort analysis of multiexponential transient signals using interpolation-based deconvolution and parametric modeling techniques
topic T Technology (General)
url http://irep.iium.edu.my/6945/
http://irep.iium.edu.my/6945/1/Analysis_of_Multiexponential_Transient_signals_Using_Interpolation-Based.pdf