Statistical model of an anharmonic sensor of precision crystal oscillator

Author

Shmaliy, Yuriy ; Nedorezov, Stanislav ; Besson, Raymond

Author_Institution

Guanajuato Univ., Salamanca, Mexico

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

758

Lastpage

766

Abstract

We present a generalized statistical model of an anharmonic sensor of a precision crystal oscillator. Such sensors are intended to eliminate an environment instability (temperature, aging, etc.) of the oscillator based on the modulation method. We discuss several sensors and then carry out an analysis in a far carrier range of oscillator operation, assuming an sensor signal to be a mixture of a deterministic signal and a white Gaussian noise (phase noise floor). A probability analysis is given for an arbitrary signal-to-noise ratio (SNR) with modulation by both an internal noise (1≈SNR) and an intended signal (1<SNR)

Keywords

Gaussian noise; ageing; circuit noise; circuit stability; crystal oscillators; electric sensing devices; feedback oscillators; frequency stability; modulation; phase noise; probability; statistical analysis; temperature sensors; white noise; anharmonic sensor; arbitrary SNR; deterministic signal; environment instability; modulational method; oscillator signal model; phase noise floor; precision crystal oscillator; probability analysis; sensor feedback; sensor statistical properties; signal-to-noise ratio; statistical model; white Gaussian noise; Aging; Digital control; Frequency; Gaussian noise; Oscillators; Ovens; Signal analysis; Signal to noise ratio; Temperature distribution; Temperature sensors;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium and PDA Exhibition, 2001. Proceedings of the 2001 IEEE International

Conference_Location

Seattle, WA

ISSN

1075-6787

Print_ISBN

0-7803-7028-7

Type

conf

DOI

10.1109/FREQ.2001.956376

Filename

956376