Least squares deconvolution in wavelet domain for 1/f driven LTI systems

M. I. Izzetoglu; T. Akgul; B. Onaral; N. Bilgutay

doi:10.1109/ICASSP.2000.859061

Least squares deconvolution in wavelet domain for 1/f driven LTI systems

M. I. Izzetoglu, T. Akgul, B. Onaral, N. Bilgutay

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper we propose a least squares deconvolution method in the wavelet domain for linear time-invariant (LTI) systems with 1/f type input signals. We model the output of the system as convolution of the impulse response and the input signal, which exhibits 1/f type spectral behavior. Our aim in solving the deconvolution problem is to estimate a filter which approximates the inverse of the impulse response, so that by applying this filter to the output data we can estimate the input signal. In order to achieve this objective, we use the wavelet transform and its properties for 1/f signals, where the logarithm of the variance of the wavelet coefficients in each stage progresses linearly. We define an error criterion in the wavelet domain whose minimization yields the optimum inverse filter. We present the error minimization algorithm and the simulation results.

Original language	English
Title of host publication	Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	721-724
Number of pages	4
ISBN (Electronic)	0780362934
DOIs	https://doi.org/10.1109/ICASSP.2000.859061
Publication status	Published - 2000
Externally published	Yes
Event	25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000 - Istanbul, Turkey Duration: 5 Jun 2000 → 9 Jun 2000

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2
ISSN (Print)	1520-6149

Conference

Conference	25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
Country/Territory	Turkey
City	Istanbul
Period	5/06/00 → 9/06/00

Bibliographical note

Publisher Copyright:
© 2000 IEEE.

Access to Document

10.1109/ICASSP.2000.859061

Cite this

Izzetoglu, M. I., Akgul, T., Onaral, B., & Bilgutay, N. (2000). Least squares deconvolution in wavelet domain for 1/f driven LTI systems. In Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I (pp. 721-724). Article 859061 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2000.859061

Izzetoglu, M. I. ; Akgul, T. ; Onaral, B. et al. / Least squares deconvolution in wavelet domain for 1/f driven LTI systems. Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I. Institute of Electrical and Electronics Engineers Inc., 2000. pp. 721-724 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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title = "Least squares deconvolution in wavelet domain for 1/f driven LTI systems",

abstract = "In this paper we propose a least squares deconvolution method in the wavelet domain for linear time-invariant (LTI) systems with 1/f type input signals. We model the output of the system as convolution of the impulse response and the input signal, which exhibits 1/f type spectral behavior. Our aim in solving the deconvolution problem is to estimate a filter which approximates the inverse of the impulse response, so that by applying this filter to the output data we can estimate the input signal. In order to achieve this objective, we use the wavelet transform and its properties for 1/f signals, where the logarithm of the variance of the wavelet coefficients in each stage progresses linearly. We define an error criterion in the wavelet domain whose minimization yields the optimum inverse filter. We present the error minimization algorithm and the simulation results.",

author = "Izzetoglu, {M. I.} and T. Akgul and B. Onaral and N. Bilgutay",

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year = "2000",

doi = "10.1109/ICASSP.2000.859061",

language = "English",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

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Izzetoglu, MI, Akgul, T, Onaral, B & Bilgutay, N 2000, Least squares deconvolution in wavelet domain for 1/f driven LTI systems. in Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I., 859061, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 2, Institute of Electrical and Electronics Engineers Inc., pp. 721-724, 25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000, Istanbul, Turkey, 5/06/00. https://doi.org/10.1109/ICASSP.2000.859061

Least squares deconvolution in wavelet domain for 1/f driven LTI systems. / Izzetoglu, M. I.; Akgul, T.; Onaral, B. et al.
Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I. Institute of Electrical and Electronics Engineers Inc., 2000. p. 721-724 859061 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Onaral, B.

AU - Bilgutay, N.

PY - 2000

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N2 - In this paper we propose a least squares deconvolution method in the wavelet domain for linear time-invariant (LTI) systems with 1/f type input signals. We model the output of the system as convolution of the impulse response and the input signal, which exhibits 1/f type spectral behavior. Our aim in solving the deconvolution problem is to estimate a filter which approximates the inverse of the impulse response, so that by applying this filter to the output data we can estimate the input signal. In order to achieve this objective, we use the wavelet transform and its properties for 1/f signals, where the logarithm of the variance of the wavelet coefficients in each stage progresses linearly. We define an error criterion in the wavelet domain whose minimization yields the optimum inverse filter. We present the error minimization algorithm and the simulation results.

AB - In this paper we propose a least squares deconvolution method in the wavelet domain for linear time-invariant (LTI) systems with 1/f type input signals. We model the output of the system as convolution of the impulse response and the input signal, which exhibits 1/f type spectral behavior. Our aim in solving the deconvolution problem is to estimate a filter which approximates the inverse of the impulse response, so that by applying this filter to the output data we can estimate the input signal. In order to achieve this objective, we use the wavelet transform and its properties for 1/f signals, where the logarithm of the variance of the wavelet coefficients in each stage progresses linearly. We define an error criterion in the wavelet domain whose minimization yields the optimum inverse filter. We present the error minimization algorithm and the simulation results.

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Izzetoglu MI, Akgul T, Onaral B, Bilgutay N. Least squares deconvolution in wavelet domain for 1/f driven LTI systems. In Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I. Institute of Electrical and Electronics Engineers Inc. 2000. p. 721-724. 859061. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2000.859061

Least squares deconvolution in wavelet domain for 1/f driven LTI systems

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