Non-Gaussian Velocity Probability Density Functions: An Altimetric Perspective of the Mediterranean Sea

Multiscale variability in the Balearic Sea: An altimetric perspective

[1] The present-day availability of an 18 year record of 1=8 merged Mediterranean Sea sea level anomaly (SLA) data enables a contemporary description of long-term mesoscale activity in the Balearic Sea. SLA data from satellite altimetry are used to study the variability of sea level and surface geostrophic circulation at different spatial and temporal scales within this complex and relatively u...

Velocity Probability Density Functions from Altimetry

Probability density functions (pdfs) are employed to evaluate the distribution of velocities in the global ocean. This study computes pdfs of ocean surface velocity using altimetric data from the TOPEX/Poseidon satellite. Results show that the shape of the observed pdfs changes with the size of the domain over which they are calculated: if data are drawn from a small region of the ocean, the pd...

Products and Convolutions of Gaussian Probability Density Functions

A new interpretation of sea-surface slope probability density functions

[1] Sea-surface slope probability density functions, which are usually fitted to a GramCharlier series, can be fit equally well by a bound wave/free wave model in which the distributions of bound and free waves are Gaussian. Bound waves are generated by longer waves on the surface and travel at nearly the phase speed of the long wave while free waves are generated directly by the wind and trave...

A State-Space Calculus for Rational Probability Density Functions and Applications to Non-Gaussian Filtering

We propose what be believe to be a novel approach to perform calculations for rational density functions using state space representations of the densities. By standard results from realisation theory, a rational probability density function is considered to be the transfer function of a linear system with generally complex entries. The stable part of this system is positive-real, which we call...