Shmaliy Y S
Kharkiv Military University and SichronCenter, Kharkiv, 310057, Ukraine.
IEEE Trans Ultrason Ferroelectr Freq Control. 1999;46(1):61-71. doi: 10.1109/58.741425.
This paper presents general relationships for transformation coefficients of BAW or SAW crystal resonator amplitude and phase fluctuations through the 1/f flicker noises of its motional and static equivalent parameters within the resonator inter resonance gap. Approximate functions of phase and amplitude power spectral densities are found based on Leeson's oscillator open loop model and are given with detailed consideration of Butler and Colpitts modes of operation with the assumption of full and zero inter noise correlation. It is also substantiated that a low-noise frequency region of crystal resonator operation exists in which the fluctuation influence of its motional inductance and capacity tend to zero in oscillators. Five examples are given as an illustration of a good agreement of the measured data with the prediction curves, giving a possibility of resonator power phase and amplitude spectral densities valuation at an arbitrary offset frequency from the carrier through the 1/f flicker noises of resonator parameters. Emphasis is laid in conclusion on the possible way of parameter spectral densities definition.
本文给出了体声波（BAW）或表面声波（SAW）晶体谐振器在谐振间隙内运动和静态等效参数的1/f闪烁噪声作用下，其幅度和相位波动的变换系数的一般关系。基于利森振荡器开环模型，找到了相位和幅度功率谱密度的近似函数，并在充分考虑巴特勒和考毕兹工作模式且假设噪声完全相关和零相关的情况下给出。还证实了晶体谐振器存在一个低噪声频率工作区域，在该区域中，其运动电感和电容的波动影响在振荡器中趋于零。给出了五个例子，说明测量数据与预测曲线吻合良好，这使得通过谐振器参数的1/f闪烁噪声在任意偏离载波的频率下评估谐振器的功率相位和幅度谱密度成为可能。结论强调了参数谱密度定义的可能方法。
