Analytic Methods of Sound Field Synthesis

  • Jens Ahrens

Part of the T-Labs Series in Telecommunication Services book series (TLABS)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Jens Ahrens
    Pages 1-20
  3. Jens Ahrens
    Pages 21-55
  4. Jens Ahrens
    Pages 115-173
  5. Jens Ahrens
    Pages 175-272
  6. Back Matter
    Pages 273-299

About this book


This book treats the topic of sound field synthesis with a focus on serving human listeners though the approach can be also exploited in other areas such as underwater acoustics or ultrasonics. The author derives a fundamental formulation based on standard integral equations and the single-layer potential approach is identified as a useful tool in order to derive a general solution. He also proposes extensions to the single-layer potential approach which allow for a derivation of solutions for non-enclosing distributions of secondary sources such as circular, planar, and linear ones. Based on above described formulation it is shown that the two established analytic approaches of Wave Field Synthesis and Near-field Compensated Higher Order Ambisonics constitute specific solutions to the general problem which are covered by the single-layer potential solution and its extensions. The consequences spatial discretization are analyzed in detail for all elementary geometries of secondary source distributions and applications such as the synthesis of the sound field of moving virtual sound sources, focused virtual sound sources, and virtual sound sources with complex radiation properties are discussed. An accompanying website provides MATLAB/Octave scripts for all simulations contained in the book.


Continuous secondary source distribution Discrete secondary source distribution Higher order ambisonics Human perception Single-layer potential approach Spatial discretization Wave field synthesis simulated surround sound

Authors and affiliations

  • Jens Ahrens
    • 1
  1. 1., Technische Universität BerlinDeutsche Telekom LaboratoriesBerlinGermany

Bibliographic information