This article develops a wavelet decomposition of a stochastic process which parallels a time{localized Cram er (Fourier) spectral representation. We provide a time{scale instead of a time{frequency decomposition and, hence, instead of thinking as scale in terms of \inverse frequency" we start from genuine time{scale building blocks or \atoms". Using this class of locally stationary wavelet (LSW...

The aim of this paper is to present a new approach to spectral representation using sums of Gaussian distributions. Sums of Gaussians provide an intuitive representation for frequency bands of a signal spectrum as well as formant regions. The representation of spectral envelopes using Gaussian parameters {a, μ, σ} simplifies the expression of important tasks such as frequency warping and forman...

This paper deals with the representation of spectral data so as to control the colorimetric error committed during rendering computations. These data are projected on a set of hierarchical basis functions called scaling functions leading to a representation by means of binary trees. An adaptive algorithm is proposed in which reenement and merge steps managed by an estimation of the error made i...

The spectral representation is an effecient tool to explore electrical properties of material mixtures. It separates the contributions of geometrical topology and intrinsic properties of the constituents in the system. The aim of this paper is to derive an expression for the spectral density representation, which favors dielectric relaxation phenomenon. This unfamiliar form is distinct in a way...