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Improve performance of algorithms for simulation of the spectrum nonlinear frequency conversion in «near» zone

Keywords:

V.I. Loginov – Ph.D. (Eng.), Associate Professor, Volga State University of Water Transport. E-mail: vilog@list.ru


Are researched the performance of algorithms spectrum modeling after nonlinear frequency conversion in «near» zone, based on use methods number theory. Are defined the link between Farey fraction and spurs in «near» zone. Algorithms of definitions near zone based on search double diofantine approximation RF/LO ratio on input mixer in Farey fraction. To search for a second diofantine approximation is used direct and inverse algorithms based on theorem Farey-Cauchy. It is shown that the inverse algorithm for search second approximation has performance on average 38% better than direct algorithm. This value is independent of index Farey fraction.
References:

 

  1. Joseph Mitola III. Cognitive Radio. An Integrated Agent Architecture for Software Defined Radio // Doctor of Technology Dissertation. RoyalInstituteofTechnology. Sweden. May 2000.
  2. Bykadorov A.A., Loginov V.I. Algoritmy analiza chastotnogo raspredelenija sistem nelinejjnogo preobrazovanija chastot // Sb. «Tekhniko-ehkologicheskie voprosy rechnogo sudokhodstva». N. Novgorod: VGAVT. 1994. Vyp. 269. S. 67–74.
  3. Loginov V.I. Nomogramma kombinacionnykh chastot – algoritmicheskijj podkhod s uchetom preobrazovanija na garmonikakh signala i geterodina // Radiotekhnika. 2011. № 4. S. 61–66.
  4. Grushin P.I., Loginov V.I., JAmpurin N.P.Sravnitelnye kharakteristiki algoritmov rascheta kombinacionnykh sostavljajushhikh na osnove rjadov Fareja / Trudy Nizhegorodskogo gosudarstvennogo tekhnicheskogo universiteta im. R.E. Alekseeva. N. Novgorod. 2010. № 2 (81). S. 21–29.
  5. Loginov V.I. Programma rascheta i postroenija nomogrammy kombinacionnykh chastot s uchetom preobrazovanija na garmonikakh signala i geterodina s ispolzovaniem rjadov Fareja «Nomogramma-Farey v.2.0». Svidetelstvo o gosudarstvennojj registracii programm dlja EHVM № 2010615947 ot 10 sentjabrja 2010 g.
  6. Grushin P.I., Loginov V.I., JAmpurin N.P.Ispolzovanie PLIS v sistemakh avtomatizirovannogo raspredelenija chastot // Vestnik Samarskogo gosudarstvennogo aehrokosmicheskogo universiteta. 2011. № 7 (31). S. 28–35.
  7. Grushin P.I., Loginov V.I. Proektirovanie polosovogo filtra s minimalnymi trebovanijami k realizacii dlja podavlenija pomekh v blizhnejj zone // Radiotekhnicheskie i telekommunikacionnye sistemy. 2002. № 4. S. 4–9.

 

 

June 24, 2020
May 29, 2020

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