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Design of zero reference codes by means of a global optimization method

dc.contributor.authorSaez Landete, José
dc.contributor.authorAlonso Fernández, José
dc.contributor.authorBernabeu Martínez, Eusebio
dc.date.accessioned2023-06-20T10:46:33Z
dc.date.available2023-06-20T10:46:33Z
dc.date.issued2005-01-10
dc.description© 2005 Optical Society of America. This research was supported by the national research program, Project No. DPI2001-1238.
dc.description.abstractThe grating measurement systems can be used for displacement and angle measurements. They require of zero reference codes to obtain zero reference signals and absolute measures. The zero reference signals are obtained from the autocorrelation of two identical zero reference codes. The design of codes which generate optimum signals is rather complex, especially for larges codes. In this paper we present a global optimization method, a DIRECT algorithm for the design of zero reference codes. This method proves to be a powerful tool for solving this inverse problem.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia (MEC), España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/26740
dc.identifier.doi10.1364/OPEX.13.000195
dc.identifier.issn1094-4087
dc.identifier.officialurlhttp://dx.doi.org/10.1364/OPEX.13.000195
dc.identifier.relatedurlhttp://www.opticsinfobase.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51199
dc.issue.number1
dc.journal.titleOptics Express
dc.language.isoeng
dc.page.final201
dc.page.initial195
dc.publisherThe Optical Society Of America
dc.relation.projectIDDPI2001-1238
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordAccurate Alignment
dc.subject.keywordBar Codes
dc.subject.keywordSystems
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleDesign of zero reference codes by means of a global optimization method
dc.typejournal article
dc.volume.number13
dcterms.references1. Li Yajun, “Autocorrelation function of a bar code system” J. Mod. Opt.34, 1571-5 (1987). 2. Xiangyang Yang and Chunyong Yin, “A new method for the design of zero reference marks for grating measurement systems” J. Phys. E Sci. Instrum. 19, 34-7 (1986). 3. Li Yajun, “Optical valve using bar codes” Optik 79, 67-74 (1988). 4. Li Yajun, “Characterization and design of bar code systems for accurate alignment” Appl. Opt.27, 2612-20 (1988). 5. Li Yajun and F. T. S. Yu, “Design of bar code systems for accurate alignment: a new method” Appl. Opt. 29, 723-5 (1990). 6. D. R. Jones, C. D. Perttunen, and B. E. Stuckman. “Lipschitzian Optimization without the Lipschitz Constant” J. Optim. Theory Appl. 79, 157-181 (1993). 7. Donald R. Jones. DIRECT Global optimization algorithm . Encyclopedia of Optimization. (Kluwer Academic Publishers, Dordrecht, 2001). 8. Li Yajun, "Bar codes with special correlations like those of the Barker codes" Optics Communications 83, 15-20 (1991). 9. Bjorkman, Mattias and Holmstrom, Kenneth. “Global Optimization Using the DIRECT Algorithm in Matlab” Advanced Modeling and Optimization, 1, 17-37 (1999). 10. C. T. Kelley. Iterative Methods for Optimization. (SIAM, Portland1999). 11. Daniel E. Finkel. DIRECT Optimization Algorithm User Guide. (2003). 12. Daniel E. Finkel and C. T. Kelley. “Convergence analysis of the DIRECT algorithm” Optimization Online (2004). 13. J. M. Gablonski. DIRECT Version 2.0 User Guide. (CRSC Technical Report, Raleigh, 2001).
dspace.entity.typePublication
relation.isAuthorOfPublicationf7b5b178-742c-418d-80d3-769a169f6dd9
relation.isAuthorOfPublication.latestForDiscoveryf7b5b178-742c-418d-80d3-769a169f6dd9

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