E.А. Silaev1

1 PJSC “Radiofizika” (Moscow, Russia)

Problem statement. The noise of radar local oscillator reference oscillation sources often prevails among the noise of the local oscillator signals. At long ranges, this leads to significant distortion of the results of processing weak reflected signals in radars. One of the ways to reduce the noise of the local oscillator signals is the use of VHF crystal oscillators with a low noise level.

Goal. To obtain equations for the power spectral density of phase noise, as well as for random deviations of the oscillation phase of a model of a VHF crystal oscillator.

Results. Equations for the power spectral density of phase noise, as well as for random deviations of the oscillation phase of a model of a VHF crystal oscillator are obtained.

Practical significance. These theoretical and practical results obtained allow a more selective approach to the selection of parameters of high-frequency crystal oscillators for use as sources of local oscillator oscillations.

Silaev Е.A. VHF crystal oscillator noise. Part 2. Experimental and calculated data. Radiotekhnika. 2023. V. 87. № 9. P. 45−53.
DOI: https://doi.org/10.18127/j00338486-202309-04 (In Russian)

1. Bukingem M. Shumy v jelektronnyh priborah i sistemah: Per. s angl. M.: Mir. 1986 (in Russian).
2. Ochkov D.S., Silaev E.A., Formal'nov I.S. Ocenka intervalov kogerentnosti radiotrakta RLS. Radiotehnika. 2006. T. 70. № 4. S. 36−38 (in Russian).
3. Ochkov D.S., Silaev E.A. Razrabotka priemo-peredajushhih traktov kogerentnyh RLS. Tehnologii radiolokacii. M.: Veche. 2010. S. 243−252 (in Russian).
4. Grigor'ev I.A. Ocenka vlijanija fluktuacij geterodinnyh signalov kogerentnyh RLS na avtokorreljacionnuju funkciju jehosignalov. Radiotehnika. 2012. T. 76. № 5. S. 69−73 (in Russian).
5. Makarychev E.M., Grigor'ev I.A., Ochkov D.S. Ocenka vlijanija fazovyh fluktuacij geterodinnyh signalov na rezul'tat optimal'noj fil'tracii LChM-signalov v RLS s kogerentnym nakopleniem impul'sov. Radiotehnika. 2019. T. 83. № 4. S. 47−53. DOI: 10.18127/j00338486-201904-06 (in Russian).
6. Makarychev E.M., Grigor'ev I.A., Ochkov D.S. Ocenka vlijanija additivnyh fazovyh fluktuacij na rezul'tirujushhuju spektral'nuju plotnost' moshhnosti fazovyh fluktuacij na vyhode radiolokacionnogo priemnika. Radiotehnika. 2020. T. 84. № 4(7). S. 69−74.
   DOI: 10.18127/j00338486-202004(7)-08 (in Russian).
7. Silaev E.A. Primenenie vysokochastotnyh kvarcevyh generatorov dlja formirovanija opornyh kolebanij geterodina RLS millimetrovogo diapazona voln. Materialy otraslevoj nauch.-tehnich. konf. NIIRP. M.: NIIRP. 1982. (in Russian).
8. Silaev E.A. Formirovanie spektral'no-chistogo signala v jelektronike i metrologii. Metrologija i izmeritel'naja tehnika v svjazi. 1998. № 2. S. 33−36 (in Russian).
9. Silaev E.A., Bogomolov D.V. Low noise ovenized quartz oscillator. Proc. of 52d IEEE IFCS. 1998. P. 349−352.
10. Patent RF 2207705. Upravljaemyj kvarcevyj generator s umnozheniem chastoty vysokoj kratnosti. Silaev E.A. (in Russian).
11. Patent RF 110211. Vysokochastotnyj kvarcevyj generator. Silaev E.A., Gus'kov Ju.S. (in Russian).
12. Patent RF 2439775. Vysokochastotnyj kvarcevyj generator. Gus'kov Ju.S., Silaev E.A. (in Russian).
13. Patent RF 2498499. Vysokochastotnyj mnogokvarcevyj generator. Gus'kov Ju.S., Silaev E.A. (in Russian).
14. Grigor'ev I.A., Gus'kov Ju.S., Silaev E.A. Vlijanie udarnyh vozdejstvij, sinusoidal'noj i shirokopolosnoj sluchajnoj vibracii na fazovye shumy signala sintezatora chastoty S-diapazona. Radiotehnika. 2015. T. 79. № 4. S. 99−104 (in Russian).
15. Silaev E.A. Vlijanie otricatel'nyh temperatur na zapusk i fazovye shumy vysokochastotnyh kvarcevyh generatorov. Radiotehnika. 2019. T. 83. № 4. S. 54−59. DOI: 10.18127/j00338486-201904-07 (in Russian).
16. Romanjuk V.A., Jar Zar Htun. Minimizacija fazovogo shuma mikrovolnovyh sintezatorov chastoty vyborom shem opornogo generatora i GUNa. Izvestija vuzov. Jelektronika. 2014. № 3(107). S. 73−80 (in Russian).
17. Ochkov D.S., Silaev E.A., Formal'nov I.S. Vlijanie znachenija chastoty opornogo signala na velichinu parazitnogo nabega fazy kvarcovannogo geterodina. Radiotehnika. 2007. T. 71. № 4. S. 94−99 (in Russian).
18. Silaev E.A. Sravnenie jeksperimental'nyh i teoreticheskih rezul'tatov pri ocenke parazitnogo nabega fazy SVCh-signala geterodina kogerentnoj RLS. Radiotehnika. 2014. T. 78. № 1. S. 89−98 (in Russian).
19. Silaev E.A. Amplitudnye shumy vysokochastotnyh kvarcevyh generatorov. Radiotehnika. 2020. T. 84. № 4(7). S. 61−68.
    DOI: 10.18127/j00338486-202004(7)-07 (in Russian).
20. Silaev E.A. Shumy vysokochastotnyh kvarcevyh generatorov. Chast' 1. Teorija. Radiotehnika. 2022. T. 86. № 10. S. 144−149. DOI: https://doi.org/10.18127/j00338486-202210-16 (in Russian).
21. Van der Pol B. The nonlinear theory of electric oscillations. Proc. of the Institute of Radio Engineers. September 1934. V. 22. № 9. P. 1051−1086.
22. Evtjanov S.I. O svjazi ukorochennyh uravnenij s simvolicheskimi. Radiotehnika. 1946. T. 1. № 1. S. 68−79 (in Russian).
23. Evtjanov S.I., Kuleshov V.N.  Fluktuacii v avtogeneratorah. Radiotehnika i jelektronika. 1961. T. 6. Vyp. 4. S. 496−506 (in Russian).
24. Zhalud V., Kuleshov V.N. Shumy v poluprovodnikovyh ustrojstvah. Pod obshh. red. A.K. Naryshkina. Sovmestnoe sovetsko-cheshskoe izdanie. M.: Sovetskoe radio; Praga. SNTL. Izd-vo tehn. lit-ry. 1977 (in Russian).
25. Tolkachev A.A., Levitan B.A., Solovjev G.K., Veytsel V.V., Farber V.E. A megawatt power millimeter-wave phase-array radar. IEEE AES Systems Magazine. July 2000. V. 15. № 7. P. 25−31.
26. Patent RF 2078556. Ustrojstvo dlja poiska i radiochastotnogo vozdejstvija na biologicheski aktivnye tochki kozhnogo pokrova organizma. Stoletova O.E., Golubkov M.G., Cilaev E.A., Tarnovskij Ja.G., Zhukov D.S. (in Russian).
27. Jaglom A.M. Korreljacionnaja teorija processov so sluchajnymi stacionarnymi n-mi prirashhenijami. Matematicheskij sbornik. 1955. T. 37(79). № 1. S. 141−196 (in Russian).