A Guide on Spectral Methods Applied to Discrete Data in One Dimension

Seilmayer, Martin; Ratajczak, Matthias

doi:10.1155/2017/5108946

Cited by 5 publications

(3 citation statements)

References 21 publications

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“…To further summarize the (shared) periodic structure of the time series, we performed a spectral decomposition analysis with R package “spectral” (Seilmayer, 2016). This analysis used the Fast Fourier Transform (FFT) to assess periodicities in movement and phonation (see Figure 3).…”

Section: Resultsmentioning

confidence: 99%

Gesture–speech physics: The biomechanical basis for the emergence of gesture–speech synchrony.

Pouw¹,

Harrison²,

Dixon³

2020

Journal of Experimental Psychology: General

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Section: Resultsmentioning

confidence: 99%

Gesture–speech physics: The biomechanical basis for the emergence of gesture–speech synchrony.

Pouw¹,

Harrison²,

Dixon³

2020

Journal of Experimental Psychology: General

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“…The residuals of their individual maxima are complemented by two continuous curves resulting from two types of phase drift computations. The first one (full line) is based on determining the instantaneous phase from band‐passed data (Seilmayer & Ratajczak 2017). The second one (dashed line) is based on wavelet analyses (for details, see Appendix A).…”

Section: Cycle Maxima From Radionuclide Datamentioning

confidence: 99%

Phase coherence and phase jumps in the Schwabe cycle

et al. 2020

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Guided by the working hypothesis that the Schwabe cycle of solar activity is synchronized by the 11.07‐year alignment cycle of the tidally dominant planets Venus, Earth, and Jupiter, we reconsider the phase diagrams of sediment accumulation rates in Lake Holzmaar and of methanesulfonate data in the Greenland ice core Greenland Ice Sheet Project 2 (GISP2), which are available for the period 10000–9000 cal. BP. As some half‐cycle phase jumps appearing in the output signals are, very likely, artifacts of applying a biologically substantiated transfer function, the underlying solar input signal with a dominant 11.04‐year periodicity can be considered to be mainly phase‐coherent over the 1,000‐year period in the early Holocene. For more recent times, we show that the reintroduction of a hypothesized “lost cycle” at the beginning of the Dalton minimum would lead to a real phase jump. Similarly, by analyzing various series of 14C and 10Be data and comparing them with Schove's historical cycle maxima, we support the existence of another “lost cycle” around 1565, also connected with a real phase jump. Viewed synoptically, our results lend greater plausibility to the starting hypothesis of a tidally synchronized solar cycle, which at times can undergo phase jumps, although the competing explanation in terms of a nonlinear solar dynamo with increased coherence cannot be completely ruled out.

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“…For either coil type, the amplitude and phase response was calculated from the time-series of the measured output voltage using the quadrature demodulation technique [24]. Regarding the measurement frequencies, we chose a distribution with many frequencies in the range below f < 50 Hz and around the resonance frequency for either coil.…”

Section: Sensor Calibrationmentioning

confidence: 99%

Analysis, design and optimization of compact ultra-high sensitivity coreless induction coil sensors

Ratajczak

Wondrak

2020

Meas. Sci. Technol.

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For contactless inductive flow tomography we require a compact magnetic field measurement system with a dynamic range of 5 orders of magnitude in order to detect the amplitude and the phase of an alternating magnetic field of 1 mT strength with a precision better than 5 nT and a phase error no larger than 10−2 deg. In some applications a static magnetic field of about 300 mT is also present, resulting in a total dynamic range of 7 orders of magnitude. We present theoretical and experimental analyses of absolute and first order gradiometric induction coil sensors with sensitivities larger than 500 V/T · Hz) and diameters of 28 mm. From their equivalent circuits, we derive the associated complex-valued transfer functions and fit these to calibration measurements, thereby determining the value of the equivalent circuit components. This allows us to compensate their non-linear frequency-dependent amplitude and phase behaviour. Furthermore, we demonstrate the optimization of coils based on Brooks’ design of equal squares in the adaptation by Murgatroyd, which maximizes the inductance (and thereby most likely the sensitivity) of the coils. Finally, we design a new coil with a diameter of 74 mm and a sensitivity of 577 V/(T · Hz) with an analytically predicted equivalent magnetic field noise of around in the 1 Hz frequency range, which is then confirmed by measurements on the manufactured prototype.

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A Guide on Spectral Methods Applied to Discrete Data in One Dimension

Cited by 5 publications

References 21 publications

Gesture–speech physics: The biomechanical basis for the emergence of gesture–speech synchrony.

Gesture–speech physics: The biomechanical basis for the emergence of gesture–speech synchrony.

Phase coherence and phase jumps in the Schwabe cycle

Analysis, design and optimization of compact ultra-high sensitivity coreless induction coil sensors

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