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Estimating the underlying signal waveform, noise covariance and synchronization jitter from unsynchronized measurements
2008 (English)In: Measurement science and technology, ISSN 0957-0233, E-ISSN 1361-6501, Vol. 19, no 2Article in journal (Refereed) Published
Abstract [en]

In this paper a new synchronization technique is presented for applications using repeated measurements or experiments with periodically excited signals. The objective with repeated or periodic measurements is often to retrieve an estimate of the (noise reduced) signal and its uncertainties. However, these measurements need to be synchronized to obtain accurate estimates. Existing synchronization techniques are limited to specific signal and noise conditions, such as white Gaussian noise or narrowband signals, to achieve good performance. The proposed method, not limited by these conditions, extracts statistical information regarding the underlying signal and the noise contained 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 measurement noise, both considered unknown. The method, which is shown to be the maximum-likelihood estimator (MLE) in both white and colored Gaussian noise, is compared with the CRLB along with standard sub-sample estimation and aligning techniques using Monte Carlo simulations. The results show significant mean square error (MSE) improvements compared to standard synchronization techniques. Synchronization results using the proposed technique are presented for repeated ultrasonic measurements, to validate the method in a real measurement situation, and to experimentally support theoretical results.

Place, publisher, year, edition, pages
2008. Vol. 19, no 2
Research subject
Signal Processing
URN: urn:nbn:se:ltu:diva-12164DOI: 10.1088/0957-0233/19/2/025101Local ID: b403e2f0-a000-11dc-ac39-000ea68e967bOAI: diva2:985114
Validerad; 2008; Bibliografisk uppgift: Paper id:: 025101; 20071201 (jesper)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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