An introduction to wavelets
Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
Joint time-frequency analysis: methods and applications
Joint time-frequency analysis: methods and applications
Multitaper estimators of polyspectra
Signal Processing
Phase Correlations in Human EEG Signal: A Case Study
DELTA '04 Proceedings of the Second IEEE International Workshop on Electronic Design, Test and Applications
Wigner bispectrum, phase product smoothing and time-varying bispectra
ICASSP '93 Proceedings of the Acoustics, Speech, and Signal Processing, 1993. ICASSP-93 Vol 4., 1993 IEEE International Conference on - Volume 04
Multitaper estimation of bicoherence
ICASSP '01 Proceedings of the Acoustics, Speech, and Signal Processing, 2001. on IEEE International Conference - Volume 05
The canonical bicoherence-part I: definition, multitaper estimation, and statistics
IEEE Transactions on Signal Processing
The canonical bicoherence-part II: QPC test and its application in geomagnetic data
IEEE Transactions on Signal Processing
A theory of polyspectra for nonstationary stochastic processes
IEEE Transactions on Signal Processing
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Bicoherence has been used in quantifying quadratic phase coupling (QPC) in electroencephalography (EEG) signals. However, for high-dimensional EEG signals, the calculations of traditional auto--- and cross---bicoherences of signals from multiple electrodes are computationally very expensive. This has been compounded by the recognition of the non-stationary character of EEG signals. This paper introduces a new approach, the time-varying canonical bicoherence (CBC) by short-time weighted Fourier transforms, for analyzing QPC nonlinearities of dynamic EEG signals. This new method shows both computational efficiency and simple interpretation of estimated canonical bicoherences. The canonical bicoherence analysis of EEG records, during a human visual stimulus-driven cognitive process, put into evidence of quadratic phase couplings of Beta waves and Delta waves in the frontal regions.