Sound Field Synthesis with Distributed Modal Constraints

Abstract

A method is introduced for calculating driving functions for loudspeaker arrays used to control sound fields. This is based on the simultaneous solution of multiple modal constraints whose centres are distributed in space. Several test examples are described. Subjects considered include the control of the complete interior of convex and concave array boundaries, the control of subregions, loudspeaker distributions, open boundaries, independent regions, point source targets, and encoding and decoding.

Active manipulation of Helmholtz scalar fields: near-field synthesis with directional far-field control

“…Several numerical methods employing optimization frameworks are also used especially in solving acoustic inverse problems for biomedical imaging [45], subsurface imaging [7] and sound propagation in waveguides [27]. Other approaches include wave-domain methods (as used in [17,18]) and modal-domain approaches (for instance [37,51]). The approach employed in this paper (as well as previous works such as [11,12,21,39,40]) is the use of the Green's function to represent the solution to the Helmholtz equation in terms of a propagator operator and then employ a Tikhonov regulariation scheme with the Morozov discrepancy principle to solve the resulting operatorial equation.…”

Surround by Sound: A Review of Spatial Audio Recording and Reproduction

“…Modal-domain sparsity analysis shows that a significantly reduced number of microphone points could be used quite effectively for multi-zone reproduction over a wide frequency range [146]. The synthesis of soundfields with distributed modal constraints and quiet zones having an arbitrary predefined shape have also been investigated [153,154]. Based on modal-domain analysis, a parameter, the coefficient of realisability, is developed to indicate the achievable reproduction performance given the sound zone geometry and the desired soundfield in the bright zone [155].…”

Procesado Tiempo-Frecuencia: Aplicación a la percepción humana del sonido

“…Todos estos parámetros psicoacústicos son ampliamente utilizados en el diseño de sonidos [78,79,15,80] o el análisis de las sensaciones que los sonidos provocan en los humanos [81,82,83,84,73,85,86].…”

“…Las medidas de calidad de sonido se han utilizado para analizar el grado de molestia que producen diversos sonidos como una nevera [81], el aire acondicionado en el interior de un vehículo [82], el elevalunas de un automóvil [83], el tráfico urbano producido por los automóviles [84,73], o el ruido asociado a tranvías, autobuses [85] y trenes [86], entre otros.…”