Three dimensional sound field reproduction using multiple circular loudspeaker arrays: Functional analysis guided approach

Wen Zhang*, Thushara D. Abhayapala

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    26 Citations (Scopus)

    Abstract

    Three dimensional sound field reproduction based on higher order Ambisonics requires the placement of loudspeakers on a sphere that surrounds the target reproduction region. The deployment of a spherical array is not trivial especially for implementation in real rooms where the placement flexibility is highly desirable. This paper proposes a design of multiple circular loudspeaker arrays for reproducing three dimensional sound fields originating from a limited region of interest. We apply a functional analysis framework to formulate the sound field reproduction problem in a closed form. Secondary source distributions and target sound fields are modeled as two Hilbert spaces and mapped by an integral operator and its adjoint operator, from which a self-adjoint operator is constructed and the singular value decomposition is applied to represent source distributions and sound fields with two sets of interrelated singular functions. We derive the solutions for a circular secondary source arrangement and propose the design of placing multiple circular loudspeaker arrays only over the limited region of interest. Such a design allows for non-spherical and non-uniform loudspeaker placement and thus provides a flexible array arrangement. The reproduction accuracy of the proposed method is verified through numerical simulations.

    Original languageEnglish
    Article number2324182
    Pages (from-to)1184-1194
    Number of pages11
    JournalIEEE Transactions on Audio, Speech and Language Processing
    Volume22
    Issue number7
    DOIs
    Publication statusPublished - 1 Jul 2014

    Fingerprint

    Dive into the research topics of 'Three dimensional sound field reproduction using multiple circular loudspeaker arrays: Functional analysis guided approach'. Together they form a unique fingerprint.

    Cite this