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@PHDTHESIS{Berzborn:1015825,
      author       = {Berzborn, Marco},
      othercontributors = {Vorländer, Michael and Fernandez Grande, Efren},
      title        = {{M}easurement and quantification of directional sound field
                      decay},
      school       = {Rheinisch-Westfälische Technische Hochschule Aachen},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {RWTH Aachen University},
      reportid     = {RWTH-2025-06560},
      series       = {Aachener Beiträge zur Hörtechnik und Akustik},
      pages        = {1 Online-Ressource : Illustrationen},
      year         = {2025},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University; Dissertation, Rheinisch-Westfälische Technische
                      Hochschule Aachen, 2025},
      abstract     = {The random-incidence absorption coefficient is measured in
                      a reverberation room as per ISO354:2003 (2003), assuming a
                      diffuse and isotropic sound field. However, reproducibility
                      issues across different laboratories suggest that the
                      assumption of isotropy does not hold in practice. This
                      dissertation presents a novel experimental method for
                      capturing and analysing the directional characteristics of
                      energy decay in reverberation rooms. The method involves
                      decomposing the sound field into plane waves using
                      microphone arrays. Using Schroeder integration, the newly
                      introduced directional energy decay curve (DEDC) is
                      calculated on the time dependent angular plane waves density
                      function. The DEDC is decomposed into spherical harmonics,
                      which are used to formulate time-dependent estimators for
                      isotropy and axial symmetry. The estimators are formulated
                      by leveraging the symmetry relationships of spherical
                      harmonics and offer high temporal and angular resolution.
                      The DEDC framework further enables the analysis of
                      directionally non-uniform damping of the sound field. An
                      inverse problem is formulated using the DEDC framework and a
                      stochastic model for directionally dependent energy decay.
                      Variational inference is utilized to identify the model
                      parameters and provide uncertainty measures. Experimental
                      results obtained in a reverberation room in four
                      configurations are presented. These configurations include
                      the room with and without a highly absorptive glass wool
                      specimen, and both configurations additionally with and
                      without panel diffusers. The findings reveal non-isotropic
                      sound fields, particularly in the presence of the absorbing
                      specimen. It is shown that sound field isotropy varies over
                      time, decreasing in configurations for which non-uniform
                      distributions of damping are identified. Finally, the
                      relationship between the symmetry quantification results and
                      the errors in the random-incidence absorption coefficient is
                      explored using a statistic model. Combined factor analysis
                      and linear regression models reveal a statistically
                      significant relationship between the estimators and the
                      absorption coefficient error. The results further suggest
                      that the model is capable of correcting the measured
                      absorption coefficient if data from multiple laboratories
                      are available.},
      cin          = {613510},
      ddc          = {621.3},
      cid          = {$I:(DE-82)613510_20140620$},
      pnm          = {DFG project G:(GEPRIS)298797807 - Theoretische und
                      experimentelle Analyse der Diffusität in Raumschallfeldern
                      (298797807)},
      pid          = {G:(GEPRIS)298797807},
      typ          = {PUB:(DE-HGF)11 / PUB:(DE-HGF)3},
      doi          = {10.18154/RWTH-2025-06560},
      url          = {https://publications.rwth-aachen.de/record/1015825},
}