An iterative deautoconvolution algorithm tor nonnegative functions

被引：12

作者：

Choi, K ^{[1
]}

Lanterman, AD ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA

来源：

INVERSE PROBLEMS | 2005年 / 21卷 / 03期

关键词：

D O I：

10.1088/0266-5611/21/3/012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the inverse problem of recovering a nonnegative function from its autoconvolution. We propose an algorithm that solves the problem by minimizing Csiszar's I-divergence between the observed autoconvolution and an estimated autoconvolution. We call it a deautoconvolution algorithm. Various properties of the algorithm are discussed and proven. The effectiveness of the algorithm is illustrated via numerical experiments.

引用

页码：981 / 995

页数：15

共 30 条

[1]

ASANOV A., 1998, REGULARIZATION UNIQU

[2]

Bartle R. G., 1976, ELEMENT REAL ANAL

[3]

CHOI K, UNPUB J OPT SOC AM

[4]

Cover T. M., 1984, IEEE Transactions on Information Theory, VIT-30, P369, DOI 10.1109/TIT.1984.1056869

[5]

Cover T. M., 2005, ELEM INF THEORY, DOI 10.1002/047174882X

[6]

CSISZAR I, 1991, ANN STAT, V19, P2033

[7] ISOCHROMAT AND SXAPS STUDIES OF EMPTY ELECTRONIC STATES IN CHROMIUM, IRON AND NICKEL [J].

DOSE, V ;

FAUSTER, T ;

SCHEIDT, H .

JOURNAL OF PHYSICS F-METAL PHYSICS, 1981, 11 (09) :1801-1809

[8] On inversion rates for the autoconvolution equation [J].

Fleischer, G ;

Hofmann, B .

INVERSE PROBLEMS, 1996, 12 (04) :419-435

[9]

Fleischer G, 1999, Z ANGEW MATH MECH, V79, P149, DOI 10.1002/(SICI)1521-4001(199903)79:3<149::AID-ZAMM149>3.3.CO

[10]

2-E

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