Presentation 1996/3/8
Constrained Parallel Projection Methods for Optimal Signal Estimation and Design : Constrained Inconsistent Signal Feasibility Problems
Isao YAMADA, Nobuhiko OGURA, Akito GOTO, Kohichi SAKANIWA,
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Abstract(in English) The convex set feasibility framework has been widely applied to signal and image processing problems including signal deconvolution, tomographic reconstruction, image restoration, band limited extrapolation, arid image synthesis. In this paper, we consider convex constrained versions of inconsistent signal feasibility problems, which are some extensions of Combettes's problems and of much more desired in many applications. First we derive some new properties of variational nonexpansive operators and convex projections. Based on these properties and fixed point theorems, we propose some types of algorithms called constrained parallel projection methods (CPPM)that solve the convex constrained versions of inconsistent signal feasibility problems.
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Keyword(in English) Optimal estimation / Optimal design / convex projection / Constraint optimization
Paper # CAS95-127,DSP95-182,CS95-205
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Committee CAS
Conference Date 1996/3/8(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Constrained Parallel Projection Methods for Optimal Signal Estimation and Design : Constrained Inconsistent Signal Feasibility Problems
Sub Title (in English)
Keyword(1) Optimal estimation
Keyword(2) Optimal design
Keyword(3) convex projection
Keyword(4) Constraint optimization
1st Author's Name Isao YAMADA
1st Author's Affiliation Dept. of Electrical and Electronic Engineering, Tokyo Institute of Technology()
2nd Author's Name Nobuhiko OGURA
2nd Author's Affiliation Dept. of Electrical and Electronic Engineering, Tokyo Institute of Technology
3rd Author's Name Akito GOTO
3rd Author's Affiliation Dept. of Electrical and Electronic Engineering, Tokyo Institute of Technology
4th Author's Name Kohichi SAKANIWA
4th Author's Affiliation Dept. of Electrical and Electronic Engineering, Tokyo Institute of Technology
Date 1996/3/8
Paper # CAS95-127,DSP95-182,CS95-205
Volume (vol) vol.95
Number (no) 556
Page pp.pp.-
#Pages 6
Date of Issue