Persistent Link:
http://hdl.handle.net/10150/608297
Title:
TELEMETRY AND JUGGLING
Author:
Jones, Charles H.
Affiliation:
Edwards Air Force Base
Issue Date:
2000-10
Rights:
Copyright © International Foundation for Telemetering
Collection Information:
Proceedings 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.
Publisher:
International Foundation for Telemetering
Journal:
International Telemetering Conference Proceedings
Abstract:
One of the beauties of mathematics is its ability to demonstrate the relationship between apparently unrelated subjects. And this is not only an aesthetic attribute. The insight obtained by seeing relations where they are not obvious often leads to elegant solutions to difficult problems. This paper will demonstrate a mathematical relation between telemetry and juggling. Any given pulse code modulation (PCM) format can be mapped onto a juggling pattern. The Inter-Range Instrumentation Group (IRIG) 106 Class I PCM formats are a subset of all juggling patterns while the Class II PCM formats are equivalent to the set of all juggling patterns (within some mathematically precise definitions). There are actually quite a few mathematical results regarding juggling patterns. This paper will also discuss how these topics relate to tessellations, bin packing, PCM format design, and dynamic spectrum allocation. One of the shortcomings of human nature is the tendency to get caught up in a particular topic or viewpoint. This is true of the telemetry community as well. It is hoped that this paper will increase the awareness that there are a variety of areas of theory outside of telemetry that may be applicable to the field.
Keywords:
Juggling; Telemetry; Data Cycle Maps; Site Swap Notation; Mathematical Relations
Sponsors:
International Foundation for Telemetering
ISSN:
0884-5123; 0074-9079
Additional Links:
http://www.telemetry.org/

Full metadata record

DC FieldValue Language
dc.language.isoen_USen
dc.titleTELEMETRY AND JUGGLINGen_US
dc.contributor.authorJones, Charles H.en
dc.contributor.departmentEdwards Air Force Baseen
dc.date.issued2000-10en
dc.rightsCopyright © International Foundation for Telemeteringen
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
dc.publisherInternational Foundation for Telemeteringen
dc.description.abstractOne of the beauties of mathematics is its ability to demonstrate the relationship between apparently unrelated subjects. And this is not only an aesthetic attribute. The insight obtained by seeing relations where they are not obvious often leads to elegant solutions to difficult problems. This paper will demonstrate a mathematical relation between telemetry and juggling. Any given pulse code modulation (PCM) format can be mapped onto a juggling pattern. The Inter-Range Instrumentation Group (IRIG) 106 Class I PCM formats are a subset of all juggling patterns while the Class II PCM formats are equivalent to the set of all juggling patterns (within some mathematically precise definitions). There are actually quite a few mathematical results regarding juggling patterns. This paper will also discuss how these topics relate to tessellations, bin packing, PCM format design, and dynamic spectrum allocation. One of the shortcomings of human nature is the tendency to get caught up in a particular topic or viewpoint. This is true of the telemetry community as well. It is hoped that this paper will increase the awareness that there are a variety of areas of theory outside of telemetry that may be applicable to the field.en
dc.subjectJugglingen
dc.subjectTelemetryen
dc.subjectData Cycle Mapsen
dc.subjectSite Swap Notationen
dc.subjectMathematical Relationsen
dc.description.sponsorshipInternational Foundation for Telemeteringen
dc.identifier.issn0884-5123en
dc.identifier.issn0074-9079en
dc.identifier.urihttp://hdl.handle.net/10150/608297en
dc.identifier.journalInternational Telemetering Conference Proceedingsen
dc.typetexten
dc.typeProceedingsen
dc.relation.urlhttp://www.telemetry.org/en
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