Bispectral analysis of nonlinear interaction, predictability and stochastic modelling with application to ENSO

Pires, Carlos; Hannachi, Abdel

doi:10.1080/16000870.2020.1866393

Cited by 5 publications

(3 citation statements)

References 87 publications

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“…Note that, as with the autocorrelation, the definition of the power spectrum can be extended to third-order statistics to yield the bispectrum (the Fourier transform of the bi-correlation function) (Pires and Hannachi, 2021). While the power spectrum characterizes how the signal's variance is distributed across timescales, the bispectrum provides the contribution of each pair of frequency to the signal's skewness.…”

Section: Asymptotic Methods To Characterize Variability Across Timesc...mentioning

confidence: 99%

“…While the power spectrum characterizes how the signal's variance is distributed across timescales, the bispectrum provides the contribution of each pair of frequency to the signal's skewness. Pires and Hannachi (2021), for instance, calculated the bispectrum of the 3-monthly ENSO series to better understand its predictability.…”

Section: Asymptotic Methods To Characterize Variability Across Timesc...mentioning

confidence: 99%

“…. (Pires and Hannachi, 2021). Several summary metrics for autocorrelation exist, like the autocorrelation timescale:…”

Section: Autocorrelationmentioning

confidence: 99%

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Weather persistence on sub-seasonal to seasonal timescales: a methodological review

Tuel,

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Abstract. Persistence is an important concept in meteorology. It refers to surface weather or the atmospheric circulation either remaining in approximately the same state (quasi-stationarity) or repeatedly occupying the same state (recurrence) over some prolonged period of time. Persistence can be found at many different timescales; however, sub-seasonal to seasonal (S2S) timescales are especially relevant in terms of impacts and atmospheric predictability. For these reasons, S2S persistence has been attracting increasing attention from the scientific community. The dynamics responsible for persistence and their potential evolution under climate change are a notable focus of active research. However, one important challenge facing the community is how to define persistence from both a qualitative and quantitative perspective. Despite a general agreement on the concept, many different definitions and perspectives have been proposed over the years, among which it is not always easy to find one's way. The purpose of this review is to present and discuss existing concepts of weather persistence, associated methodologies and physical interpretations. In particular, we call attention to the fact that persistence can be defined as a global or as a local property of a system, with important implications in terms of methods and impacts. We also highlight the importance of timescale and similarity metric selection and illustrate some of the concepts using the example of summertime atmospheric circulation over western Europe.

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Section: Asymptotic Methods To Characterize Variability Across Timesc...mentioning

confidence: 99%

Section: Asymptotic Methods To Characterize Variability Across Timesc...mentioning

confidence: 99%

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Weather persistence on sub-seasonal to seasonal timescales: a methodological review

Tuel,

Martius

2023

Earth Syst. Dynam.

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Higher order spectral analysis of weather signals

Enugonda

Anandan

Ghosh

2022

Journal of Electromagnetic Waves and Applications

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Determination of Informative Frequency Range in Seismic Noise in the Method of Remote Appraisal of Hydrocarbon Reservoirs

Chebotareva

2024

J Min Sci

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Bispectral analysis of nonlinear interaction, predictability and stochastic modelling with application to ENSO

Cited by 5 publications

References 87 publications

Weather persistence on sub-seasonal to seasonal timescales: a methodological review

Weather persistence on sub-seasonal to seasonal timescales: a methodological review

Higher order spectral analysis of weather signals

Determination of Informative Frequency Range in Seismic Noise in the Method of Remote Appraisal of Hydrocarbon Reservoirs

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