Title :
Statistical model of an anharmonic sensor of precision crystal oscillator
Author :
Shmaliy, Yuriy ; Nedorezov, Stanislav ; Besson, Raymond
Author_Institution :
Guanajuato Univ., Salamanca, Mexico
fDate :
6/23/1905 12:00:00 AM
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;
Conference_Titel :
Frequency Control Symposium and PDA Exhibition, 2001. Proceedings of the 2001 IEEE International
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-7028-7
DOI :
10.1109/FREQ.2001.956376
