Spectral analysis of fractal noise (statistical and signal processing applications) using Wiener's GHA
Gabor and wavelet analysis of second order processes
Dynamical systems and wavelet theory:
Analysis of Lagrangian dynamics near coherent features
Wavelet theory and dynamical systems approach to quantifying mixing and ergodicity with applications to engineering and geophysical flows
Recent Publications:
Frames, irregular sampling, and a wavelet auditory model, (with J.J. Benedetto), Nonuniform Sampling: Theory and Practice, 585-617, 2001.
Wiener-Wintner theorem for 1/f power spectra, (with J.J. Benedetto and R. Kerby), Journal of Mathematical Analysis and Applications, 279(2) and 740-755, 2003.
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