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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Conversion of 1/f fluctuations in crystal resonator within an inter resonance gap
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Conversion of 1/f fluctuations in crystal resonator within an inter resonance gap

机译:互谐振间隙内晶体谐振器中1 / f波动的转换

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摘要

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.
机译:本文介绍了BAW或SAW晶体谐振器振幅和相位起伏的变换系数的一般关系,这些振幅和相位起伏是通过谐振器内部谐振间隙内动和静态等效参数的1 / f闪烁噪声引起的。相位和幅度功率谱密度的近似函数是根据Leeson的振荡器开环模型找到的,并在考虑了全噪声和零噪声相关性的前提下,对Butler和Colpitts工作模式进行了详细考虑。还证实了存在晶体谐振器工作的低噪声频率区域,其中其运动电感和电容的波动影响在振荡器中趋于零。给出了五个示例,说明了测量数据与预测曲线的良好一致性,从而给出了从载波通过谐振器参数的1 / f闪烁噪声以任意偏移频率对谐振器功率相位和幅度频谱密度进行评估的可能性。最后重点强调了定义参数光谱密度的可能方法。

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