Convention Paper
Analysis and Improvement of Pre-Equalization in 2.5-Dimensional Wave Field Synthesis
AES Convention 128 · Paper 8121 · May 2010
Abstract
Wave field synthesis (WFS) is a well established high-resolution spatial
sound reproduction technique. Typical WFS systems aim at the reproduction in a plane
using loudspeakers enclosing the plane. This constitutes a so-called 2.5-dimensional
reproduction scenario. It has been shown that a spectral correction of the reproduced
wave field is required in this context. For WFS this correction is known as pre-equalization
filter. The derivation of WFS is based on a series of approximations of the physical foundations.
This paper investigates on the consequences of these approximations on the reproduced sound
field and in particular on the pre-equalization filter. An exact solution is provided by
the recently presented spectral division method and is employed in order to derive an
improved WFS driving function. Furthermore, the effects of spatial sampling and truncation
on the pre-equalization are discussed.
