AffiliationBrigham Young University
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RightsCopyright © held by the author; distribution rights International Foundation for Telemetering
Collection InformationProceedings 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.
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.
SponsorsInternational Foundation for Telemetering