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dc.contributor.authorFuertes Armengol, José Mª
dc.contributor.authorBalle Pigem, Borja de
dc.contributor.authorVentura Capell, Enric
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationFuertes, J.M., B. Balle, Ventura, E. Absolute-type shaft encoding using LFSR sequences with a prescribed length. "IEEE transactions on instrumentation and measurement", 31 Març 2008, vol. 57, núm. 5, p. 915-922.
dc.description.abstractMaximal-length binary sequences have existed for a long time. They have many interesting properties, and one of them is that, when taken in blocks of n consecutive positions, they form 2n - 1 different codes in a closed circular sequence. This property can be used to measure absolute angular positions as the circle can be divided into as many parts as different codes can be retrieved. This paper describes how a closed binary sequence with an arbitrary length can be effectively designed with the minimal possible block length using linear feedback shift registers. Such sequences can be used to measure a specified exact number of angular positions using the minimal possible number of sensors that linear methods allow.
dc.format.extent8 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject.lcshSequences (Mathematics)
dc.subject.otherAbsolute angular position sensor
dc.subject.otherClosed circular sequences
dc.subject.otherLinear feedback shift register (LFSR)
dc.subject.otherMaximal-length binary sequences
dc.subject.otherPolynomials over finite fields
dc.titleAbsolute-type shaft encoding using LFSR sequences with a prescribed length
dc.subject.lemacSeqüències (Matemàtica)
dc.contributor.groupUniversitat Politècnica de Catalunya. GR-DCS - Sistemes Distribuïts de Control
dc.contributor.groupUniversitat Politècnica de Catalunya. LARCA - Laboratori d'Algorísmia Relacional, Complexitat i Aprenentatge
dc.contributor.groupUniversitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::40 Sequences, series, summability
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
local.citation.authorFuertes, J.M.; Balle, B.; Ventura, E.
local.citation.publicationNameIEEE transactions on instrumentation and measurement

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