A Sparsity Measure for Echo Density Growth in General Environments

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


  • H. P. Tukuljac
  • Ville Pulkki

  • H. Gamper
  • K. Godin
  • I. J. Tashev
  • N. Raghuvanshi

Research units

  • Swiss Federal Institute of Technology Lausanne
  • Microsoft Research


We study the detailed temporal evolution of echo density in impulse responses for applications in acoustic analysis and rendering on general environments. For this purpose, we propose a smooth sorted density measure that yields an intuitive trend of echo density growth with time. This is fitted with a general power-law model motivated from theoretical considerations. We validate the framework against theory on simple room geometries and present experiments on measured and numerically simulated impulse responses in complex scenes. Our results show that the growth power of echo density is a promising statistical parameter that shows noticeable, consistent differences between indoor and outdoor responses, meriting further study.


Original languageEnglish
Title of host publicationICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Publication statusPublished - 1 May 2019
MoE publication typeA4 Article in a conference publication
EventIEEE International Conference on Acoustics, Speech, and Signal Processing - Brighton, United Kingdom
Duration: 12 May 201917 May 2019
Conference number: 44

Publication series

NameProceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing
ISSN (Print)1520-6149
ISSN (Electronic)2379-190X


ConferenceIEEE International Conference on Acoustics, Speech, and Signal Processing
Abbreviated titleICASSP
CountryUnited Kingdom

    Research areas

  • Density measurement, Acoustic measurements, Microsoft Windows, Reverberation, Market research, Geometry, impulse response, echo density, mixing time, outdoor acoustics, parametric models, statistical signal processing

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