Shmaliy Yuriy S
Guanajuato University, Salamanca, Gto 36730, Mexico.
IEEE Trans Ultrason Ferroelectr Freq Control. 2004 Aug;51(8):948-56. doi: 10.1109/tuffc.2004.1324398.
The paper addresses a method for calculating the amplitude and phase power spectral density (PSD) functions of an oscillatory system (resonator, oscillator, bandpass filter, selective circuit, etc.) via the PSDs of its intrinsic noise sources and relevant transformation coefficients. A systematic description of the method is given for the scalar and vector noises. As an illustration, the noise transformation coefficients are derived for a piezoelectric series branch with fluctuating motional inductance, capacity, and losses, in which static capacity is disregarded. We then clarify the rules regarding the shaping of either PSD function. The importance of this method resides in the fact that it enables us to study particular finite ranges of the PSD function without using differential equations.
本文介绍了一种通过振荡系统（谐振器、振荡器、带通滤波器、选择性电路等）固有噪声源的功率谱密度（PSD）和相关变换系数来计算其幅度和相位功率谱密度函数的方法。针对标量噪声和矢量噪声给出了该方法的系统描述。作为示例，推导了具有波动运动电感、电容和损耗且忽略静态电容的压电串联支路的噪声变换系数。然后我们阐明了关于任一PSD函数成形的规则。该方法的重要性在于它使我们能够在不使用微分方程的情况下研究PSD函数的特定有限范围。
