Wave field synthesis of a virtual source located in proximity to a loudspeaker array

J Acoust Soc Am. 2013 Sep;134(3):2106-17. doi: 10.1121/1.4817876.

Abstract

For the derivation of 2.5-dimensional operator in wave field synthesis, a virtual source is assumed to be positioned far from a loudspeaker array. However, such far-field approximation inevitably results in a reproduction error when the virtual source is placed adjacent to an array. In this paper, a method is proposed to generate a virtual source close to and behind a continuous line array of loudspeakers. A driving function is derived by reducing a surface integral (Rayleigh integral) to a line integral based on the near-field assumption. The solution is then combined with the far-field formula of wave field synthesis by introducing a weighting function that can adjust the near- and far-field contribution of each driving function. This enables production of a virtual source anywhere in relation to the array. Simulations show the proposed method can reduce the reproduction error to below -18 dB, regardless of the virtual source position.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Acoustics / instrumentation*
  • Amplifiers, Electronic*
  • Computer Simulation
  • Equipment Design
  • Models, Theoretical
  • Motion
  • Numerical Analysis, Computer-Assisted
  • Sound Spectrography
  • Sound*
  • Time Factors
  • Transducers*