QML blind deconvolution: Asymptotic analysis

Alexander M. Bronstein; Michael M. Bronstein; Michael Zibulevsky; Yehoshua Y. Zeevi

doi:10.1007/978-3-540-30110-3_86

QML blind deconvolution: Asymptotic analysis

Alexander M. Bronstein^*, Michael M. Bronstein, Michael Zibulevsky, Yehoshua Y. Zeevi

^*Corresponding author for this work

Technion-Israel Institute of Technology

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

1 Scopus citations

Abstract

Blind deconvolution is considered as a problem of quasi maximum likelihood (QML) estimation of the restoration kernel. Simple closed-form expressions for the asymptotic estimation error are derived. The asymptotic performance bounds coincide with the Cramér-Rao bounds, when the true ML estimator is used. Conditions for asymptotic stability of the QML estimator are derived. Special cases when the estimator is super-efficient are discussed.

Original language	English
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Editors	Carlos G. Puntonet, Alberto Prieto
Publisher	Springer Verlag
Pages	677-684
Number of pages	8
ISBN (Electronic)	3540230564, 9783540230564
DOIs	https://doi.org/10.1007/978-3-540-30110-3_86
State	Published - 2004
Externally published	Yes

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3195
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

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10.1007/978-3-540-30110-3_86

Cite this

Bronstein, A. M., Bronstein, M. M., Zibulevsky, M., & Zeevi, Y. Y. (2004). QML blind deconvolution: Asymptotic analysis. In C. G. Puntonet, & A. Prieto (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 677-684). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3195). Springer Verlag. https://doi.org/10.1007/978-3-540-30110-3_86

Bronstein, Alexander M. ; Bronstein, Michael M. ; Zibulevsky, Michael et al. / QML blind deconvolution : Asymptotic analysis. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). editor / Carlos G. Puntonet ; Alberto Prieto. Springer Verlag, 2004. pp. 677-684 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "QML blind deconvolution: Asymptotic analysis",

abstract = "Blind deconvolution is considered as a problem of quasi maximum likelihood (QML) estimation of the restoration kernel. Simple closed-form expressions for the asymptotic estimation error are derived. The asymptotic performance bounds coincide with the Cram{\'e}r-Rao bounds, when the true ML estimator is used. Conditions for asymptotic stability of the QML estimator are derived. Special cases when the estimator is super-efficient are discussed.",

author = "Bronstein, {Alexander M.} and Bronstein, {Michael M.} and Michael Zibulevsky and Zeevi, {Yehoshua Y.}",

year = "2004",

doi = "10.1007/978-3-540-30110-3_86",

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Bronstein, AM, Bronstein, MM, Zibulevsky, M & Zeevi, YY 2004, QML blind deconvolution: Asymptotic analysis. in CG Puntonet & A Prieto (eds), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3195, Springer Verlag, pp. 677-684. https://doi.org/10.1007/978-3-540-30110-3_86

QML blind deconvolution: Asymptotic analysis. / Bronstein, Alexander M.; Bronstein, Michael M.; Zibulevsky, Michael et al.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). ed. / Carlos G. Puntonet; Alberto Prieto. Springer Verlag, 2004. p. 677-684 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3195).

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

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Bronstein AM, Bronstein MM, Zibulevsky M, Zeevi YY. QML blind deconvolution: Asymptotic analysis. In Puntonet CG, Prieto A, editors, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Verlag. 2004. p. 677-684. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-30110-3_86

QML blind deconvolution: Asymptotic analysis

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