Name
Title | ||
|---|---|---|
Three Dimensional Sound Field Reproduction using Multiple Circular Loudspeaker Arrays: Functional Analysis Guided Approach. |
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TASLP.2014.2324182 | IEEE/ACM Transactions on Audio, Speech & Language Processing |
Keywords | Field | DocType |
speech processing,sound reproduction,harmonic analysis,loudspeakers,spherical harmonics,speech,ambisonics,functional analysis,singular value decomposition,hilbert space,hilbert spaces,self adjoint operator | Hilbert space,Singular value decomposition,Secondary source,Computer science,Spherical harmonics,Ambisonics,Harmonic analysis,Operator (computer programming),Acoustics,Loudspeaker | Journal |
Volume | Issue | ISSN |
22 | 7 | 2329-9290 |
Citations | PageRank | References |
1 | 0.40 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wen Zhang | 1 | 90 | 12.18 |
| Abhayapala, T.D. | 2 | 174 | 25.09 |