We report on the retrieval of directional sea-roughness (the full directional mean square slope, including MSS, direction and isotropy) through inversion of Global Navigation Satellite System Reflections (GNSSR) and SOlar REflectance Speculometry (SORES) data collected during an experimental flight at 1000 m. The emphasis is on the utilization of the entire Delay-Doppler Map (for GNSS-R) or Til...

This paper presents a centralized multiuser maximum a posteriori (MAP) detector for code division multiple access (CDMA) signals on frequency-selective fast-fading channels. Importantly, the algorithm does not assume perfect channel state information at the receiver. The key idea is to expand the hypothesis trellis for the purpose of joint channel estimation and equalization for all users. Usin...

We show that Lyapunov exponent for the Sinai billiard is λ = −2 log(R)+ C + O(R log R) with C = 1 − 4 log 2 + 27/(2π) · ζ(3) where R is the radius of the circular scatterer. We consider the disk-to-disk-map of the standard configuration where the disks is centered inside a unit square.

Some scaling properties for a classical particle interacting with a time-dependent square-well potential are studied. The corresponding dynamics is obtained by use of a two-dimensional nonlinear area-preserving map. We describe dynamics within the chaotic sea by use of a scaling function for the variance of the average energy, thereby demonstrating that the critical exponents are connected by a...

To each function f of bounded quadratic variation we associate a Hausdorff measure μf . We show that the map f → μf is locally Lipschitz and onto the positive cone of M[0, 1]. We use the measures {μf : f ∈ V2} to determine the structure of the subspaces of V 0 2 which either contain c0 or the square stopping time space S2.

An objective function is described for optimization of Patterson map correlation for electron density and its square. The function provides excellent discrimination against all zero phases, and is analyzed to find relationships for phase extension and refinement. The objective function and phasing relationships can be calculated rapidly by convolution methods and are practical for application t...

A discrete analogue of the holomorphic map z γ is studied. It is given by Schramm's circle pattern with the combinatorics of the square grid. It is shown that the corresponding circle patterns are imbedded and described by special separatrix solutions of discrete Painlevé equations. Global properties of these solutions, as well as of the discrete z γ , are established.

A discontinuous generalization of the standard map, which arises naturally as the dynamics of a periodically kicked particle in a one dimensional infinite square well potential, is examined. Existence of competing length scales, namely the width of the well and the wavelength of the external field, introduce novel dynamical behaviour. Deterministic chaos induced diffusion is observed for weak f...

A discontinuous generalization of the standard map, which arises naturally as the dynamics of a periodically kicked particle in a one dimensional infinite square well potential, is examined. Existence of competing length scales, namely the width of the well and the wavelength of the external field, introduce novel dynamical behaviour. Deterministic chaos induced diffusion is observed for weak f...

In video games, pathfinding must be done quickly and accurately. Not much computational time is allowed for pathfinding, but realistic looking paths are required. One approach to pathfinding which attempts to satisfy both of these constraints is to perform pathfinding on abstractions of the map. Botea et al.’s Hierarchical Pathfinding A* (HPA*) does this by dividing the map into square sectors ...