![]() |
COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. | ![]() |
University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Constructing adaptive interference-reduced Wigner-Ville spectral estimators of non-stationary time series
Constructing adaptive interference-reduced Wigner-Ville spectral estimators of non-stationary time seriesAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Mustapha Amrani. Inference for Change-Point and Related Processes Co-authors: Florent Autin (Universit d’Aix-Marseille 1), Gerda Claeskens (KULeuven), Rainer von Sachs (UCLouvain) In this talk we propose estimators of the time-frequency spectrum of a (zero mean) non-stationary time series with second order structure which varies across time. It is obtained by smoothing the empirical Wigner-Ville (WV) spectrum (Martin and Flandrin, 1985) which is a highly localized time-frequency spectrum. Using the empirical WV avoids prior time-frequency segmentation (such as for the segmented periodogram (Schneider and von Sachs, 1996)) nevertheless it suffers from low and heterogeneous signal-to-noise ratios and from severe interferences. In addition, the associated time-frequency spectrum is best modeled as an anisotropic object with locally varying smoothness in both time and frequency directions (Neumann and von Sachs, 1997). All this make smoothing very challenging. Our approach is to project the empirical WV data onto a specifically designed hyperbolic wavelet basis (Autin et al, 2013) and to use a tree-structured thresholding (Autin et al, 2011, 2013) under co nstraints inspired notably by the Heisenberg’s uncertainty principle. Such approach is expected to ensure an adaptive time-frequency representation and to reduce the cross-interferences of the WV spectrum. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
Note that ex-directory lists are not shown. |
Other listsFaraday Institute Cambridge Central Asia Forum Marshall LecturesOther talksCANCELLED IN SYMPATHY WITH STRIKE Nationality, Alienage and Early International Rights Putting Feminist New Materialism to work through affective methodologies in early childhood research Prof Chris Rapley (UCL): Polar Climates Poland, Europe, Freedom: A Personal Reflection on the Last 40 Years On the climate change conversation |