Timbre characterizes the identity of a sound source. Psychoacoustic studies have revealed that timbre is a multidimensional perceptual attribute with multiple underlying acoustic dimensions of both temporal and spectral types. Here we investigated the relations among the processing of three major timbre dimensions characterized acoustically by attack time, spectral centroid, and spectrum fine s...

In this paper, we prove that the entropy dimension of a frame spectral measure is superior than or equal to Beurling its spectrum.

Introduction – 2D Localized Correlated Spectroscopy (L-COSY) has been shown to be a powerful tool in the detection of breast cancer but is limited to a single voxel [1]. The recently introduced Echo-Planar based Correlated Spectroscopic Imaging (EPCOSI) sequence allows for the simultaneous acquisition of two spatial (ky, kx) and two spectral (t2, t1) dimensions in a single experiment [2]. The 4...

We extend the definition of "spectral dimension" d_{s} (usually defined for fractal and lattice geometries) to theories in spacetimes with anisotropic scaling. We show that in gravity with dynamical critical exponent z in D+1 dimensions, the spectral dimension of spacetime is d_{s}=1+D/z. In the case of gravity in 3+1 dimensions with z=3 in the UV which flows to z=1 in the IR, the spectral dime...