Apr, 2020
Reciprocity gap functional in spherical harmonic domain for gridless sound field decomposition
Signal Processing
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- ,
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- Volume
- 169
- Number
- 107383
- First page
- 9 pages
- Last page
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1016/j.sigpro.2019.107383
© 2019 A sound field decomposition method based on the reciprocity gap functional (RGF) in the spherical harmonic domain is proposed. To estimate and reconstruct a continuous sound field including sources by using multiple microphones, an intuitive and powerful strategy is to decompose the sound field into Green's functions. Sparse-representation algorithms have been applied to this decomposition problem; however, it requires the discretization of the target region into grid points to construct a dictionary matrix. Discretization-based methods lead to decomposition errors of off-grid sources and high computational cost of sparse representation. We apply the RGF to sparse sound field decomposition, which makes it possible to decompose the sound field as a closed-form solution without discretization. In addition, the formulation in the spherical harmonic domain enables the flexible arrangement of microphones under the assumption of the spherical target region. Numerical simulation results indicated that high decomposition and reconstruction accuracies can be achieved by the proposed method, especially at low frequencies, with a low computational cost.
- Link information
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- DOI
- https://doi.org/10.1016/j.sigpro.2019.107383
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075709854&origin=inward Open access
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85075709854&origin=inward
- URL
- https://www.sciencedirect.com/science/article/pii/S0165168419304359?via%3Dihub
- ID information
-
- DOI : 10.1016/j.sigpro.2019.107383
- ISSN : 0165-1684
- SCOPUS ID : 85075709854