Fazi, Filippo Maria and Nelson, Philip A.
A theoretical study of sound field reconstruction techniques
At 19th International Congress on Acoustics, Spain.
02 - 07 Sep 2007.
Three different methods for the physical analysis and synthesis of sound fields are presented and compared: the least squares method, a method based on the Kirchhoff-Helmholtz integral equation and the generalised Fourier transform method (based on spherical harmonics). These
three methods constitute the basis for many active control technologies and for some modern multi-channel audio technologies, such as High Order Ambisonics and Wave Field Synthesis. It is analytically demonstrated that the three methods have an equivalent formal background. It is shown that the three techniques give identical reconstruction performance in the target frequency range when using the same number of transducers, regularly arranged over a sphere. The analytical results are confirmed by using numerical simulations.
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