Е.A. Silaev – Head of Sector, 

PJSC «Radiofizika» (Moscow)

E-mail: evgeniysilaev@hotmail.com

This paper presents the VHF crystal oscillator amplitude noise. Equations for the amplitude noise power spectral density and three components of amplitude fluctuations for a simplified model of the crystal oscillator are obtained. Some tentative numerical results are demonstrated and discussed. Measurement data of the amplitude noise power spectral density for the 240 MHz crystal oscillator with oscillations at the AT-cut quartz crystal resonator into a feedback circuit being excited by the seventh mechanical harmonic in a wide temperature range from −80 °C to +60 °C are given. Also VHFCO phase noise at a temperature of +20 °C is given. Experimental data of the amplitude noise power spectral density at −80°C demonstrate momentary switching on the 240 MHz crystal oscillator from very low temperatures.

1. ZHalud V., Kuleshov V.N. SHumy v poluprovodnikovyh ustrojstvah. Pod obshch. Red. A.K. Naryshkina. Sovmestnoe sovetsko-cheshskoe izdanie. M.: Sov. radio. Praga. SNTL. Izd-vo tekhnicheskoj literatury. 1977 (In Russian). 
2. Buckingham M.J. Noise in electronic devices and systems. Horwood Ltd. New York. 1983.
3. YAkimov A.V. Fizika shumov i fluktuacij parametrov. N. Novgorod: Nizhegorodskij gosudarstvennyj universitet. 2013 (In Russian).
4. Popov V.N., Ryzhkov A.V. Sintezatory chastot v tekhnike radiosvyazi. M.: Radio i svyaz'. 1991(In Russian).
5. Boldyreva T.I., Kuleshov V.N. PM and AM noise in common base amplifier. 1999 Joint Meeting EFTF – IEEE IFCS. June 1999.  P. 1184−1187.
6. Kuleshov V.N., Boldyreva T.I., Krylov A.A. PM and AM noise of common collector Darlington amplifiers. 2001 Joint Meeting EFTF – IEEE IFCS. June 2001. P. 192−199.
7. Grigor'ev I.A. Ocenka vliyaniya fluktuacij geterodinnyh signalov kogerentnyh RLS na avtokorrelyacionnuyu funkciyu ekhosignalov. Radiotekhnika. 2013. № 5. S. 69−73 (In Russian).
8. Molchanov E.G., Ochkov D.S., Silaev E.A., Formal'nov I.S. Eksperimental'nye dannye i teoreticheskie ocenki parazitnogo nabega fazy signala geterodina X-diapazona. Radiotekhnika. 2014. № 12. S. 83−94 (In Russian).
9. YAr Zar Htun. Issledovanie i razrabotka integral'nyh SVCH sintezatorov s nizkim urovnem fazovyh shumov: Avtoref. diss. … kand. tekhn. nauk. M.: MIET. 2016 (In Russian). 
10. Gurarij M.M., ZHarov M.M., Ul'yanov S.L. Vychislitel'nyj metod rascheta fazovogo shuma v avtogeneratorah. Institut problem proektirovaniya v mikroelektronike RAN. 2014 (In Russian).
11. Makarychev E.M., Grigor'ev I.A, Ochkov D.S. Ocenka vliyaniya fazovyh fluktuacij geterodinnyh signalov na rezul'tat optimal'noj fil'tracii LCHM-signalov v RLS s kogerentnym nakopleniem impul'sov. Radiotekhnika. 2019. № 4. S. 47−53. DOI: 10.18127/j00338486-20190406 (In Russian).
12. Silaev E.A. Formirovanie spektral'no-chistogo signala v elektronike i metrologii. Metrologiya i izmeritel'naya tekhnika v svyazi. 1998. № 2. S. 33−36 (In Russian).
13. Silaev E.A., Bogomolov D.V. Low noise ovenized quartz oscillator. Proc. of 52-d IEEE IFCS. May 1998. P. 349−352. 
14. McClelland T. et al. 100 MHz crystal oscillator with extremely low phase noise. Proc. of 1999 Joint Meeting EFTF – IEEE IFCS. June 1999. P. 331−334.
15. Patent US 9369122. Low phase noise technique for a crystal oscillator circuit. Paramanandam et al.
16. Silaev E.A. Vliyanie otricatel'nyh temperatur na zapusk i fazovye shumy vysokochastotnyh kvarcevyh generatorov. Radiotekhnika. 2019. № 4. S. 54−59. DOI: 10.18127/j00338486-201904-07 (In Russian).
17. Romanyuk V.A. Osnovy radiosvyazi. M.: Izd-vo YUrajt. 2014 (In Russian). 
18. Van der Pol' B. Nelinejnaya teoriya elektricheskih kolebanij. M.: Gos. izd-vo po tekhnike svyazi. 1935 (In Russian).
19. Evtyanov S.I. Perekhodnye processy v priemno-usilitel'nyh skhemah. M.: Svyaz'izdat. 1948 (In Russian).
20. Evtyanov S.I., Kuleshov V.N. Fluktuacii v avtogeneratorah. Radiotekhnika i elektronika. 1961. T. 6. Vyp.4. S. 496−506 (In Russian).
21. Borcov A.A. Optoelektronnyj generator radiochastotnogo diapazona s nakachkoj kvantovorazmernym lazernym diodom: Avtoref. diss. dokt. tekhn. nauk. M.: MEI. 2014 (In Russian).
22. Patent RF 110211. Vysokochastotnyj kvarcevyj generator. Silaev E.A., Gus'kov Yu.S. (In Russian).
23. Patent RF 2439775. Vysokochastotnyj kvarcevyj generator. Gus'kov Yu.S., Silaev E.A. (In Russian).
24. Butler F. Series-resonant crystal oscillators. Wireless Word. June 1946. P. 157−160. (In Russian).
25. Romanyuk V.A., YAr Zar Htun. Vliyanie ogranicheniya amplitudy kolebanij v avtogeneratore na vybor tipa rezonatora. Izv. vuzov. Elektronika. 2014. № 1(105). S. 40−44 (In Russian).