2001
DOI: 10.1162/089976601300014312
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Sampling Properties of the Spectrum and Coherency of Sequences of Action Potentials

Abstract: The spectrum and coherency are useful quantities for characterizing the temporal correlations and functional relations within and between point processes. This article begins with a review of these quantities, their interpretation, and how they may be estimated. A discussion of how to assess the statistical significance of features in these measures is included. In addition, new work is presented that builds on the framework established in the review section. This work investigates how the estimates and their … Show more

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Cited by 382 publications
(356 citation statements)
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“…Here, P rs denotes the stimulus-response cross spectrum, P ss is the power spectrum of the stimulus, and P rr is the power spectrum of the spike train. All spectral quantities were estimated using multitaper estimation techniques (Jarvis and Mitra, 2001). Note that the stimulus-response coherence directly relates to the mutual information measures we use in other papers (Chacron et al, 2005b;Ellis et al, 2007a), as: I(f) = −log2[1−C(f)] (in bits/s/Hz) (Borst and Theunissen, 1999).…”
Section: Discussionmentioning
confidence: 99%
“…Here, P rs denotes the stimulus-response cross spectrum, P ss is the power spectrum of the stimulus, and P rr is the power spectrum of the spike train. All spectral quantities were estimated using multitaper estimation techniques (Jarvis and Mitra, 2001). Note that the stimulus-response coherence directly relates to the mutual information measures we use in other papers (Chacron et al, 2005b;Ellis et al, 2007a), as: I(f) = −log2[1−C(f)] (in bits/s/Hz) (Borst and Theunissen, 1999).…”
Section: Discussionmentioning
confidence: 99%
“…Correlation functions are often estimated in the time domain to detect temporal structure but are well known to suffer serious problems of bias and variance which are exacerbated in the context of a behaving animal (Jarvis and Mitra, 2000). Attempts to overcome these limitations when estimating correlation functions by pooling observations across a large period of time during the experiment leads to a violation of the stationarity assumption and misinterpretation of the data (Brody, 1999).…”
Section: General Methodological Issue: Time and Frequencymentioning
confidence: 99%
“…The measure syn (F 1 , F 2 ͉ S) is zero if both features F 1 and F 2 convey independent information about the spikes S. To analyze prediction accuracy on different timescales, we used spectral coherence (Jarvis and Mitra 2001). Spectra were again estimated via a multitaper approach designed for point events (Jarvis and Mitra 2001).…”
Section: I͓smentioning
confidence: 99%