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Expanded ultrabroadband signals based on singular ensembles of optimal discreet patterns, their synthesis and properties

Keywords:

V. I. Shetinin - Ph.D. (Eng.), Associate Professor, Odintsovo Humanities Institute (Moscow Region) Yu. A. Kavin - Ph.D. (Eng.), Professor, Odintsovo Humanities Institute (Moscow Region) L. S. Pritchina - Ph.D. (Eng.), Professor, Odintsovo Humanities Institute (Moscow Region)


The synthesis of the two varieties of optimal discreet signals singular ensembles is made on the basis of linear decomposition filters. One of the ensembles is based on perfect difference sets involving the mathematical apparatus of the complex expanded Galua fields. The discreet signals of such an ensemble are optimal, and the ultra broadband signals synthesized on discreet signals will have a unit level of side lobes. As the number of pulses in a sequence and the number of sequences in an ensemble are the same, signals on such a basis are convenient to use for data transfer coded with, e.g., Walsh–Adamar matrix. The patterns of the other ensemble variety are synthesized on a difference sets basis. The number of sequence pulses is fixed and is equal to four; the number of ensemble sequences is a power of four. As in the previous case, frequency-shift keyed ultra broadband signals with four pulses on each frequency can be built on the ensemble basis, an additional spectrum expansion of such a signal in comparison with the signals of the first variety can be provided, as well as the problem of super resolution can be solved with application of such signals.
References:

 

  1. SHHetinin V.I., Kavin JU.A., Pritchina L.S. Izomorfizm M-posledovatelnostejj i giperploskostejj proektivnojj geometrii nad poljami Galua. Sb. XV Mezhdunar. konf. «Cifrovaja obrabotka signalov i ee primenenie» // Trudy Ros. nauchno-tekhn. ob-va radiotekhniki, ehlektroniki i svjazi im. A.S. Popova. Ser.«Cifrovaja obrabotka signalov i ee primenenie». 2013. Vyp. XV–1.
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  4. SHHetinin V.I., Kavin JU.A., Pritchina L.S., CHekmarev M.V. Analiz korreljacionnykh svojjstv radiolokacionnykh signalov, poluchennykh na osnove singuljarnykh ansamblejj optimalnykh diskretnykh signalov // Informacionno-izmeritel­nye i upravljajushhie sistemy. 2009. № 5.
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  6. SHHetinin V.I., Kavin JU.A., Pritchina L.S. Imitacionnoe modelirovanie processa formirovanija sverkhshirokopolosnykh signalov na osnove singuljarnogo ansamblja optimalnykh diskretnykh posledovatelnostejj // Nauchnye materialy V Vseros. konf. «Radiolokacija i radiosvjaz». M.: IREH im. V.A. Kotelnikova RAN. 2011.
  7. SHHetinin V.I., Kavin JU.A., Pritchina L.S. Razrabotka v sisteme SIMULINK imitacionnojj modeli processa formirovanija i obrabotki novykh raznovidnostejj sverkhshirokopolosnykh signalov // Informacionno-izmeritelnye i upravljajushhie sistemy. 2012.№5.
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