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Nanohertz Frequency Determination for the Gravity Probe B HF SQUID Signal

机译:重力探头B HF sQUID的Nanohertz频率测定   信号

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摘要

In this paper, we present a method to measure the frequency and the frequencychange rate of a digital signal. This method consists of three consecutivealgorithms: frequency interpolation, phase differencing, and a third algorithmspecifically designed and tested by the authors. The succession of these threealgorithms allowed a 5 parts in 10^10 resolution in frequency determination.The algorithm developed by the authors can be applied to a sampled scalarsignal such that a model linking the harmonics of its main frequency to theunderlying physical phenomenon is available. This method was developed in theframework of the Gravity Probe B (GP-B) mission. It was applied to the HighFrequency (HF) component of GP-B's Superconducting QUantum Interference Device(SQUID) signal, whose main frequency fz is close to the spin frequency of thegyroscopes used in the experiment. A 30 nHz resolution in signal frequency anda 0.1 pHz/sec resolution in its decay rate were achieved out of a succession of1.86 second-long stretches of signal sampled at 2200 Hz. This paper describesthe underlying theory of the frequency measurement method as well as itsapplication to GP-B's HF science signal.
机译:在本文中,我们提出了一种测量数字信号的频率和频率变化率的方法。该方法包括三个连续的算法:频率插值,相位微分,以及由作者专门设计和测试的第三种算法。这三个算法的相继实现了频率确定中10 ^ 10分辨率的5个部分。作者开发的算法可以应用于采样标量信号,从而可以建立一个将其主频率谐波与潜在物理现象联系起来的模型。该方法是在重力探测器B(GP-B)任务的框架中开发的。它被应用于GP-B超导量子干扰设备(SQUID)信号的高频(HF)分量,该信号的主频率fz接近实验中使用的陀螺仪的自旋频率。在以2200 Hz采样的连续1.86秒长信号中,获得了30 nHz的信号频率分辨率和0.1 pHz / sec的衰减率分辨率。本文介绍了频率测量方法的基础理论及其在GP-B HF科学信号中的应用。

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