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Estimating the underlying signal waveform and synchronization jitter from repeated measurements

机译:通过重复测量估算基础信号波形和同步抖动

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摘要

In this paper we present a synchronization technique, for applications using repeated or periodically excited measurements. The problem with existing techniques is their limitations to specific signal and noise conditions, such as white Gaussian noise or narrowband signals. The proposed method extracts statistical information about the underlying signal and noise in the measurements to obtain good synchronization (asymptotically optimal). The Cramér-Rao lower bound (CRLB) is derived for the synchronization problem, including bounds for the underlying signal waveform and the covariance of the noise. The method, which is the maximum-likelihood estimator for both white and colored Gaussian noise, is compared with standard sub-sample estimation and aligning techniques using Monte Carlo simulations. The results show significant improvements compared to standard synchronization techniques.
机译:在本文中,我们提出了一种同步技术,适用于使用重复或周期性激励测量的应用。现有技术的问题在于它们对特定信号和噪声条件的限制,例如白高斯噪声或窄带信号。所提出的方法提取有关测量中基础信号和噪声的统计信息,以获得良好的同步性(渐近最优)。 Cramér-Rao下限(CRLB)用于同步问题,包括基础信号波形的边界和噪声的协方差。该方法是针对白色和彩色高斯噪声的最大似然估计器,并与使用蒙特卡洛模拟的标准子样本估计和对齐技术进行了比较。与标准同步技术相比,结果显示出了显着改进。

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