Space-Time Spectral Analysis and its Applications to Atmospheric Waves

Space - Time Spectral Analysis and its Applications to Atmospheric Waves

Space-time spectral analysis methods and their applications to large-scale atmospheric waves are reviewed. Space-time spectral analysis resolves transient waves into eastward and westward moving components and is mathematically analogous to rotary spectral analysis which resolves twodimensional velocity vectors into clockwise and anticlockwise components. Space-time spectral analysis can also r...

Improved Auxiliary Particle Filtering: Applications to Time-varying Spectral Analysis

This paper addresses optimal estimation for time varying autoregressive (TVAR) models. First, we propose a statistical model on the time evolution of the frequencies, moduli and real poles instead of a standard model on the AR coefficients as it makes more sense from a physical viewpoint. Second, optimal estimation involves solving a complex optimal filtering problem which does not admit any cl...

Time-dependent Hermite-Galerkin spectral method and its applications

Abstract. A time-dependent Hermite-Galerkin spectral method (THGSM) is investigated in this paper for the nonlinear convection-diffusion equations in the unbounded domains. The timedependent scaling factor and translating factor are introduced in the definition of the generalized Hermite functions (GHF). As a consequence, the THGSM based on these GHF has many advantages, not only in theorethica...

Time-Frequency Analysis and Its Applications to Multimedia Signals

Space-Time Code Design and Its Applications in Wireless Networks

This thesis has two main contributions: the designs of differential/non-differential unitary spacetime codes for multiple-antenna systems and the analysis of the diversity gain when using spacetime coding among nodes in wireless networks. Capacity has long been a bottleneck in wireless communications. Recently, multiple-antenna techniques have been used in wireless communications to combat the ...