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@ -130,7 +130,7 @@ Reverberation mapping has become a standard technique for calculating the black
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\subsection{Unevenly-Sampled Data}
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\subsection{Unevenly-Sampled Data}
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\label{sec:uneven_data}
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\label{sec:uneven_data}
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Traditional frequency-domain analyses require data that is evenly sampled. Due primarily to weather and other issues relating to scheduling observations on ground-based telescopes, optical reverberation mapping datasets generally contain unevenly sampling. Because of this, until now, optical reverberation mapping has been limited mainly to time-domain analyses, e.g., cross-correlation. Cross-correlation is useful to analyse datasets with significant sampling variability, but most analysis involving cross-correlation techniques ultimately recover the average lag only; however, more information is contained within the light curves than their average time lag.
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Traditional frequency-domain analyses require data that is evenly sampled. Due primarily to weather and other issues relating to scheduling observations on ground-based telescopes, optical reverberation mapping datasets generally have uneven sampling. Because of this, until now, optical reverberation mapping has been limited mainly to time-domain analyses, e.g., cross-correlation. Cross-correlation is useful to analyse datasets with significant sampling variability, but most analysis involving cross-correlation techniques ultimately recover the average lag only; however, more information is contained within the light curves than their average time lag.
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Some X-ray datasets contain gaps due to the approximately 90-minute orbital period for satellites in low-Earth orbit, which motivated the work by \cite{2013ApJ...777...24Z}, where a maximum likelihood method is used to perform the frequency-domain analyses prepared in section \ref{sec:freq_analysis} on light curves with gaps. Since its development, this technique has found success among studies of observations captured by low-orbit X-ray telescopes that exceed the telescopes' orbital periods, such as the analysis performed by \cite{2016Natur.535..388K}. For the first time, we are applying these techniques to UV/optical data, making use of the high-quality light curves published in STORM III. If successful, they may provide new insight into the reverberations present in the accretion disk and other structures of the nucleus in NGC 5548.
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Some X-ray datasets contain gaps due to the approximately 90-minute orbital period for satellites in low-Earth orbit, which motivated the work by \cite{2013ApJ...777...24Z}, where a maximum likelihood method is used to perform the frequency-domain analyses prepared in section \ref{sec:freq_analysis} on light curves with gaps. Since its development, this technique has found success among studies of observations captured by low-orbit X-ray telescopes that exceed the telescopes' orbital periods, such as the analysis performed by \cite{2016Natur.535..388K}. For the first time, we are applying these techniques to UV/optical data, making use of the high-quality light curves published in STORM III. If successful, they may provide new insight into the reverberations present in the accretion disk and other structures of the nucleus in NGC 5548.
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