Wave field synthesis and analysis using array technology

Vries, Diemer de; Boone, Marinus M.

doi:10.1109/aspaa.1999.810838

Cited by 27 publications

(21 citation statements)

References 4 publications

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“…Recent techniques have shown interesting extrapolation results using one-dimensional (1-D) microphone arrays (mostly circular arrays), but limitations occur when trying to extrapolate real three-dimensional (3-D) RIRs [16]. Similarly to the extrapolation of the sound field, a technique called wave field synthesis (WFS) [15] has been presented. From the knowledge of the sound field in a region of space, the WFS reproduces the sound field in other regions of space.…”

Section: Introductionmentioning

confidence: 99%

The Plenacoustic Function and Its Sampling

Ajdler

Sbaiz

Vetterli

2006

IEEE Trans. Signal Process.

130

122

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Abstract-The spatialization of the sound field in a room is studied, in particular the evolution of room impulse responses as a function of their spatial positions. It was observed that the multidimensional spectrum of the solution of the wave equation has an almost bandlimited character. Therefore, sampling and interpolation can easily be applied using signals on an array. The decay of the spectrum is studied on both temporal and spatial frequency axes. The influence of the decay on the performance of the interpolation is analyzed. Based on the support of the spectrum, the number and the spacing between the microphones is determined for the reconstruction of the sound pressure field up to a certain temporal frequency and with a certain reconstruction quality. The optimal sampling pattern for the microphone positions is given for the linear, planar and three-dimensional case. Existing techniques usually make use of room models to recreate the sound field present at some point in the space. The presented technique simply starts from the measurements of the sound pressure field in a finite number of positions and with this information the sound pressure field can be recreated at any spatial position. Finally, simulations and experimental results are presented and compared with the theory.

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Section: Introductionmentioning

confidence: 99%

The Plenacoustic Function and Its Sampling

Ajdler

Sbaiz

Vetterli

2006

IEEE Trans. Signal Process.

130

122

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“…The WFS approaches [10], [11], [12], [13], [14] are based on the Kirchhoff-Helmholtz integral [7] [15]. The fundamental principle of WFS states that a continuous distribution of appropriately driven secondary monopole and dipole sources arranged on the boundary of the desired listening area is capable to reproduce any virtual wave field [7].…”

Section: Introductionmentioning

confidence: 99%

Theory and Design of Soundfield Reproduction Using Continuous Loudspeaker Concept

Abhayapala

2009

IEEE Trans. Audio Speech Lang. Process.

121

100

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Reproduction of a soundfield is a fundamental problem in acoustic signal processing. A common approach is to use an array of loudspeakers to reproduce the desired field where the least squares method is used to calculate the loudspeaker weights. However, the least squares method involves matrix inversion which may lead to errors if the matrix is poorly conditioned. In this paper, we use the concept of theoretical continuous loudspeaker on a circle to derive the discrete loudspeaker aperture functions by avoiding matrix inversion. In addition, the aperture function obtained through continuous loudspeaker method reveals the underlying structure of the solution as a function of the desired soundfield, the loudspeaker positions, and the frequency. This concept can also be applied for the 3D soundfield reproduction using spherical harmonics analysis with a spherical array. Results are verified through computer simulations.

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“…New trends towards true recreation of audio fields in arbitrary enclosures and for wide listening areas call for even higher number of channels. Examples of this are virtual acoustic openings [1] and wave-field synthesis (WFS, [2]), techniques that make use of linear arrays of closely spaced transducers to reconstruct the desired sound fields.…”

Section: Introductionmentioning

confidence: 99%