A Multitaper Test For The Detection of Non-Stationary Processes Using Canonical Correlation Analysis

Marshall, Francois A.; Takahara, Glen; Thomson, David J.

doi:10.1109/ssp.2018.8450806

Cited by 3 publications

(3 citation statements)

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“…In addition, [38] lists the following references that sighted a limbic-system 14 Hz normal mode during rapid eye movement (REM) sleep: [14], [22], [23]. 3) Recent literature specifies a spindle as an x (SGN ) -mode whose line power is approximately the average spectral mass in the [10,15] Hz sigma frequency band during States 2,3 nonREM sleep 18 . In [38], 14 Hz is deemed characteristic of sleep spindles 19 : citing Fig.…”

Section: Discussionmentioning

confidence: 99%

“…6 of [3], 17 For a complex survey of MEA-recordings including three cell strata, the number of cases where LFP successfully predicts spike timings falls from 26 down to 8 when shifting from the (4, 14] Hz band to the (14, 30] Hz band. 18 Refer to Section 3.2.7 in [33]. Section 3.3.1 in that reference specifically considers: [1], [24]- [26], [37] 19 The "spindle" term was coined in [13], and the phenomenon first identified in [2] -see [8] for an overview.…”

Section: Discussionmentioning

confidence: 99%

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Temporal-lobe Epilepsy: Harmonic and Anharmonic Periodicity in Microeletrode Voltage

Marshall¹

2023

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Temporal-lobe epilepsy in humans is often associated with widespread, synchronized neuron firing that co-occurs with traveling waves in local field potential. These traveling waves generate stochastic oscillations in a time series of microelectrode voltage, and previous work has deemed it informative for traveling-wave analysis to study the mean periodicity. This manuscript reveals that: a) mean voltage (i.e., traveling-wave periodicity) adequately explains the observed voltage periodicity only for a select few time intervals during seizure; and b) mean voltage has a 7 Hz cosine-series representation indicative of a nonlinear system response given alpha-rhythm input. The a) result implies that residual noise should be modelled explicitly, while b) motivates a departure from the conventional planewave modeling regime in source-localization efforts. The 7 Hz fundamental frequency is unsurprising given the relative transparency of the brain to 14 Hz alpha rhythms in neurophysiological diseases (14 Hz being a subharmonic frequency of the 7 Hz signal).

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Temporal-lobe Epilepsy: Harmonic and Anharmonic Periodicity in Microeletrode Voltage

Marshall¹

2023

Preprint

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“…• The theory in Andrews (1983), Brillinger (1981), Brockwell and Davis (1991), Granger (1976), Hannan (1970), Mallows (1967), and Rosenblatt (1961). • The empirical evidence in Haley (2014), Marshall and Thomson (2017), Marshall et al (2018), , Thomson and Chave (1991), , Thomson (2007), and Thomson and Haley (2014).…”

Section: 1029/2019ja027160mentioning

confidence: 99%

A Characterization of Periodicity in the Voltage Time Series of a Riometer

et al. 2020

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This paper reveals unprecedented periodicity in the voltage series of relative ionospheric opacity meters (riometers) of the Canadian Riometer Array (CRA). In quiet times, the riometer voltage series is accurately modeled by a stochastic process whose components include both a six term expansion in harmonic functions and some amplitude modulated modes of lower signal to noise ratio (SNR). In units of cycles per sidereal day (cpsd), the frequencies of the six harmonic functions lie within 0.01 cpsd of an integer. Earth's rotation induces a splitting of the low SNR components, resulting in the appearance of nine multiplets in standardized power spectrum estimates of the considered CRA voltage series. A second feature of these spectrum estimates is a 6 min periodic element appearing in both the CRA voltage series and the proton mass density series of the Advanced Composition Explorer (ACE). Spectral peak frequencies have been detected, which lie near established solar mode frequency estimates. In addition, some of these peak frequency estimates are coincident with peak frequency estimates of the standardized power spectra for the time series of proton mass density and interplanetary magnetic field strength (IMF) at ACE.

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