Refine
Has Fulltext
- no (42)
Year of publication
Language
- English (42) (remove)
Is part of the Bibliography
- yes (42) (remove)
Keywords
- Geomagnetic field (2)
- Kalman filter (2)
- Probabilistic forecasting (2)
- Wavelet transform (2)
- AFM (1)
- Assimilation (1)
- Bayesian inference (1)
- Bayesian inversion (1)
- Core dynamics (1)
- Core field (1)
- Correlation based modelling (1)
- Daily gravity field (1)
- Data augmentation (1)
- DySEM (1)
- Dynamo: theories and simulations (1)
- Earthquake interaction (1)
- Earthquake modeling (1)
- FIB patterning (1)
- Forecasting and prediction (1)
- Fractal (1)
- Full rank matrix filters (1)
- GRACE (1)
- Gaussian process (1)
- Geomagnetic jerks (1)
- Geomagnetic storm (1)
- Geomagnetism (1)
- Geopotential theory (1)
- Gravity anomalies and Earth structure (1)
- Hawkes process (1)
- IGRF (1)
- ITG-Grace2010 (1)
- Interpolation (1)
- Inverse theory (1)
- Kalman smoother (1)
- Lithology (1)
- Machine learning (1)
- Magnetic anomalies: modelling and interpretation (1)
- Magnetic field variations through time (1)
- Magnetosphere (1)
- Multichannel wavelets (1)
- Multigrid (1)
- Multiple time stepping (1)
- Multiscale analysis (1)
- Pacific Ocean (1)
- Quadrature mirror filters (1)
- Regularity analysis (1)
- Sampling (1)
- Satellite geodesy (1)
- Satellite magnetics (1)
- Secular variation (1)
- Secular variation rate of change (1)
- Self-exciting point process (1)
- Simulation of Gaussian processes (1)
- Spatio-temporal ETAS model (1)
- Spectral exponent (1)
- Statistical seismology (1)
- Strike-slip fault model (1)
- Subdivision schemes (1)
- Vector subdivision schemes (1)
- Well log (1)
- archaeomagnetism (1)
- asteroseismology (1)
- geomagnetic field (1)
- geopotential theory (1)
- inverse theory (1)
- magnetic field variations through (1)
- modal analysis (1)
- palaeomagnetism (1)
- secular variation (1)
- stars: early-type (1)
- stars: individual: Vega (1)
- stars: oscillations (1)
- stars: rotation (1)
- starspots (1)
- statistical methods (1)
- structured cantilever (1)
- time (1)
Institute
- Institut für Mathematik (42) (remove)
This paper is concerned with localization properties of coherent states. Instead of classical uncertainty relations we consider "generalized" localization quantities. This is done by introducing measures on the reproducing kernel. In this context we may prove the existence of optimally localized states. Moreover, we provide a numerical scheme for deriving them.
In this paper, we propose a method of surface waves characterization based on the deformation of the wavelet transform of the analysed signal. An estimate of the phase velocity (the group velocity) and the attenuation coefficient is carried out using a model-based approach to determine the propagation operator in the wavelet domain, which depends nonlinearly on a set of unknown parameters. These parameters explicitly define the phase velocity, the group velocity and the attenuation. Under the assumption that the difference between waveforms observed at a couple of stations is solely due to the dispersion characteristics and the intrinsic attenuation of the medium, we then seek to find the set of unknown parameters of this model. Finding the model parameters turns out to be that of an optimization problem, which is solved through the minimization of an appropriately defined cost function. We show that, unlike time-frequency methods that exploit only the square modulus of the transform, we can achieve a complete characterization of surface waves in a dispersive and attenuating medium. Using both synthetic examples and experimental data, we also show that it is in principle possible to separate different modes in both the time domain and the frequency domain