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Everything about Bicoherence
Measure of phase coupling in a signal
In mathematics and statistical analysis, bicoherence is a squared normalised version of the bispectrum. The bicoherence takes values bounded between 0 and 1, which make it a convenient measure for quantifying the extent of phase coupling in a signal. The prefix bi- in bispectrum and bicoherence refers not to two time series xt, yt but rather to two frequencies of a single signal. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: BicoherenceA 5-minute orientation
- Skim a recent paper: The Bicoherence Analysis of Type-C Quasiperiodic Oscillations in Swift J1727.8−1613Influential work since 2022
- Pick up a classic book: Bicoherent States Path Integrals and Systems With ConstraintsThe most-reprinted book on the subject
- Read the landmark paper: Wavelet bicoherence: A new turbulence analysis toolCited 263 times
- Go sideways: BispectrumA closely related topic
- Go sideways: PolyspectraA closely related topic
📖 Definitions
Noun A squared normalised form of a bispectrum.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Wavelet bicoherence: A new turbulence analysis tool
In Search of the Elusive Zonal Flow Using Cross-Bicoherence Analysis
Statistics of bicoherence
Electroencephalographic Bicoherence Is Sensitive to Noxious Stimuli during Isoflurane or Sevoflurane Anesthesia
Classification of aircraft using micro-Doppler bicoherence-based features
Experience with bicoherence of electrical power for condition monitoring of wind turbine blades
Bicoherence of intracranial EEG in sleep, wakefulness and seizures
Statistics of bicoherence and biphase
🆕 Influential since 2022
The Bicoherence Analysis of Type-C Quasiperiodic Oscillations in Swift J1727.8−1613
Automatic Classification of Field Winding Faults in Synchronous Motors Based on Bicoherence Image Segmentation and Higher Order Statistics of Stray Flux Signals
The bicoherence study of quasi-periodic oscillations in MAXI J1535−571
Detection of quadratic phase coupling by cross-bicoherence and spectral Granger causality in bifrequencies interactions
Revealing the peculiarities of average bicoherence of frequencies in the spectra of dangerous parameters of the gas environment during fire
📚 Books worth reading
Bicoherent States Path Integrals and Systems With ConstraintsGajendra Tulsian · 1995- 📕Statistics of bicoherence and biphaseGloria Sebert · 1989
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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