論文

査読有り 本文へのリンクあり
2020年4月

Reciprocity gap functional in spherical harmonic domain for gridless sound field decomposition

Signal Processing
  • Yuhta Takida
  • ,
  • Shoichi Koyama
  • ,
  • Natsuki Ueno
  • ,
  • Hiroshi Saruwatari

169
107383
開始ページ
9 pages
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
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.

リンク情報
DOI
https://doi.org/10.1016/j.sigpro.2019.107383
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075709854&origin=inward 本文へのリンクあり
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

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