Gap filling and noise reduction of unevenly sampled data by means of the Lomb-Scargle periodogram

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Gap filling and noise reduction of unevenly sampled data by means of the Lomb - Scargle periodogram

The Lomb-Scargle periodogram is widely used for the estimation of the power spectral density of unevenly sampled data. A small extension of the algorithm of the Lomb-Scargle periodogram permits the estimation of the phases of the spectral components. The amplitude and phase information is sufficient for the construction of a complex Fourier spectrum. The inverse Fourier transform can be applied...

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Gap filling and noise reduction

Gap filling and noise reduction of unevenly sampled data by means of the Lomb-Scargle periodogram K. Hocke and N. Kämpfer Institute of Applied Physics, University of Bern, Switzerland Received: 25 January 2008 – Accepted: 4 February 2008 – Published: 4 March 2008 Correspondence to: K. Hocke ([email protected]) Published by Copernicus Publications on behalf of the European Geoscience...

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We consider the problem of estimating the period of an unknown periodic function observed in additive Gaussian noise sampled at irregularly spaced time instants in a semiparametric setting. To solve this problem, we propose a novel estimator based on the cumulated Lomb-Scargle periodogram. We prove that this estimator is consistent, asymptotically Gaussian and we provide an explicit expression ...

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Cyclic patterns of gene expression have been known and studied under various criteria like cell division, circadian rhythms, etc. Microarrays allow us to do such studies on a genome-wide scale. Several methods have been proposed to computationally determine and rank the (genes with) strongly cyclic expression profiles, as distinguished from those that are weak/not cyclic, from thousands of gene...

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ژورنال

عنوان ژورنال: Atmospheric Chemistry and Physics

سال: 2009

ISSN: 1680-7324

DOI: 10.5194/acp-9-4197-2009