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首页> 外文会议>International Conference on Instrumentation, Measurement, Computer, Communication and Control;IMCCC 2012 >The Fourier Frequency Integral Interval and its Impact on Conversion from Power Spectral Density to Allan Variance Characterizing Precise Oscillators
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The Fourier Frequency Integral Interval and its Impact on Conversion from Power Spectral Density to Allan Variance Characterizing Precise Oscillators

机译：傅立叶频率积分间隔及其对功率谱密度到表征精确振荡器的艾伦方差的转换的影响

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Precise oscillators such as quartz oscillators and atomic clocks are the heart-beat sources for power, banking, communication, satellite navigation, aerospace systems and so on. Two domains are applied to characterize the frequency instability of the precise oscillators, the Fourier frequency domain and the averaging time domain. The conversion exists from the Fourier frequency domain to the averaging time domain by an integral with the integral interval from the low cut-off frequency fl to the high cut-off frequency fh. It is pointed out firstly in this paper that the definitions of fh in history are ambiguous and there are two choices already in use: the measurement bandwidth in Fourier frequency domain and the one in the averaging time domain. Both choices are usually different and will give different conversion results. As for fl, it determines the achievable maximal averaging time ¦Ómax for the converted Allan variance within the endurable conversion loss. With the defined converted loss L=10%, ¦Ómax is 0.2081/ fl.
机译：诸如石英振荡器和原子钟之类的精密振荡器是电力，银行，通信，卫星导航，航空航天系统等的心跳源。应用两个域来表征精确振荡器的频率不稳定性，即傅立叶频域和平均时域。通过从低截止频率f1到高截止频率fh的整数间隔的积分，存在从傅立叶频域到平均时域的转换。本文首先指出，历史上fh的定义是模棱两可的，已经有两种选择在使用：傅立叶频域中的测量带宽和平均时域中的测量带宽。两种选择通常是不同的，并且会给出不同的转换结果。至于f1，它确定了在可忍受的转换损耗内转换后的艾伦方差可达到的最大平均时间∑max。在定义的转换损耗L = 10％的情况下，ωmax为0.2081 / fl。

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