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dc.contributor.authorRice, Michael
dc.contributor.authorBarrier, Raymond
dc.contributor.authorChaulagain, Niraj Sharma
dc.date.accessioned2016-02-05T18:16:07Zen
dc.date.available2016-02-05T18:16:07Zen
dc.date.issued2011-10en
dc.identifier.issn0884-5123en
dc.identifier.issn0074-9079en
dc.identifier.urihttp://hdl.handle.net/10150/595783en
dc.descriptionITC/USA 2011 Conference Proceedings / The Forty-Seventh Annual International Telemetering Conference and Technical Exhibition / October 24-27, 2011 / Bally's Las Vegas, Las Vegas, Nevadaen_US
dc.description.abstractMathematical descriptions of the IRIG 106 randomizer and derandomizer are developed and used to show the impact of shift register initial conditions on the input/output relations for a cascade of randomizer and derandomizer operations (the normal order) and a cascade of derandomizer and randomizer operations (the reverse order). The results show that for the normal order, mismatched randomizer and derandomizer shift register initial conditions impact at most the first 15 bits. But for the reverse order, mismatched randomizer and derandomizer initial conditions impact all of the bits. Consequently, the shift register initial conditions must be the same to recover data when the randomizer and derandomizer are operated in the reverse order. The mathematical representation is based on polynomials and the generating function concept and the results are confirmed using computer programs based on bit-level operations.
dc.description.sponsorshipInternational Foundation for Telemeteringen
dc.language.isoen_USen
dc.publisherInternational Foundation for Telemeteringen
dc.relation.urlhttp://www.telemetry.org/en
dc.rightsCopyright © held by the author; distribution rights International Foundation for Telemeteringen
dc.titleRandomizers and Derandomizers: Is the Process Reversible?en_US
dc.typetexten
dc.typeProceedingsen
dc.contributor.departmentBrigham Young Universityen
dc.identifier.journalInternational Telemetering Conference Proceedingsen
dc.description.collectioninformationProceedings from the International Telemetering Conference are made available by the International Foundation for Telemetering and the University of Arizona Libraries. Visit http://www.telemetry.org/index.php/contact-us if you have questions about items in this collection.en
refterms.dateFOA2018-06-24T17:13:14Z
html.description.abstractMathematical descriptions of the IRIG 106 randomizer and derandomizer are developed and used to show the impact of shift register initial conditions on the input/output relations for a cascade of randomizer and derandomizer operations (the normal order) and a cascade of derandomizer and randomizer operations (the reverse order). The results show that for the normal order, mismatched randomizer and derandomizer shift register initial conditions impact at most the first 15 bits. But for the reverse order, mismatched randomizer and derandomizer initial conditions impact all of the bits. Consequently, the shift register initial conditions must be the same to recover data when the randomizer and derandomizer are operated in the reverse order. The mathematical representation is based on polynomials and the generating function concept and the results are confirmed using computer programs based on bit-level operations.


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