Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Higher-order properties of analytic wavelets
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
The homomorphic analytic signal
IEEE Transactions on Signal Processing
On instantaneous amplitude and phase of signals
IEEE Transactions on Signal Processing
Second-order analysis of improper complex random vectors and processes
IEEE Transactions on Signal Processing
Modified Cohen-Lee time-frequency distributions and instantaneousbandwidth of multicomponent signals
IEEE Transactions on Signal Processing
Statistical Properties of the Estimated Degree of Polarization
IEEE Transactions on Signal Processing
Generalized Spectral Coherences for Complex-Valued Harmonizable Processes
IEEE Transactions on Signal Processing
Polarization Ellipse Analysis of Nonstationary Random Signals
IEEE Transactions on Signal Processing
Kinematics of Complex-Valued Time Series
IEEE Transactions on Signal Processing
Wavelet ridge estimation of jointly modulated multivariate oscillations
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
On the analytic wavelet transform
IEEE Transactions on Information Theory
| Hi-index | 35.74 |
The generalizations of instantaneous frequency and instantaneous bandwidth to a bivariate signal are derived. These are uniquely defined whether the signal is represented as a pair of real-valued signals or as one analytic and one anti-analytic signal. A nonstationary but oscillatory bivariate signal has a natural representation as an ellipse whose properties evolve in time, and this representation provides a simple geometric interpretation for the bivariate instantaneous moments. The bivariate bandwidth is shown to consist of three terms measuring the degree of instability of the time-varying ellipse: amplitude modulation with fixed eccentricity, eccentricity modulation, and orientation modulation or precession. An application to the analysis of data from a free-drifting oceanographic float is presented and discussed.