Sound field analysis based on generalized prolate spheroidal wave sequences
نویسندگان
چکیده
In this article, an array processing is described to improve the quality of sound field analysis, which aims to extract spatial properties of a sound field. In this domain, the notion of spatial aliasing inevitably occurs due to the finite number of microphones used in the array. It is linked to the Fourier transform of the discrete analysis window, which is constituted of a mainlobe, fixing the resolution achievable by the spatial analysis, and also from sidelobes which degrade the quality of spatial analysis by introducing artifacts not present in the original sound field. A method to design an optimal analysis window with respect to a particular wave vector is presented, aiming to realize the best localization possible in the wave vector domain. Then the efficiency of the approach is demonstrated for several geometrical configurations of the microphone array, on the whole bandwidth of sound fields.
منابع مشابه
Tunable Plasmonic Nanoparticles Based on Prolate Spheroids
Metallic nanoparticles can exhibit very large optical extinction in the visible spectrum due to localized surface plasmon resonance. Spherical plasmonic nanoparticles have been the subject of numerous studies in recent years due to the fact that the scattering response of spheres can be analytically evaluated using Mie theory. However a major disadvantage of metallic spherical nanoparticles is ...
متن کاملProlate Spheroidal Wave Functions In q-Fourier Analysis
In this paper we introduce a new version of the Prolate spheroidal wave function using standard methods of q-calculus and we formulate some of its properties. As application we give a q-sampling theorem which extrapolates functions defined on qn and 0 < q < 1.
متن کاملGeneralized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis
Prolate spheroidal wave functions (PSWFs) possess many remarkable properties. They are orthogonal basis of both square integrable space of finite interval and the Paley-Wiener space of bandlimited functions on the real line. No other system of classical orthogonal functions is known to obey this unique property. This raises the question of whether they possess these properties in Clifford analy...
متن کاملGeneralized and Fractional Prolate Spheroidal Wave Functions
An important problem in communication engineering is the energy concentration problem, that is the problem of finding a signal bandlimited to [−σ, σ] with maximum energy concentration in the interval [−τ, τ ], 0 < τ, in the time domain, or equivalently, finding a signal that is time limited to the interval [−τ, τ ] with maximum energy concentration in [−σ, σ] in the frequency domain. This probl...
متن کاملSpectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs
We examine the merits of using prolate spheroidal wave functions (PSWFs) as basis functions when solving hyperbolic PDEs using pseudospectral methods. The relevant approximation theory is reviewed and some new approximation results in Sobolev spaces are established. An optimal choice of the band-limit parameter for PSWFs is derived for single-mode functions. Our conclusion is that one might gai...
متن کامل