Bessel nulls recovery in spherical microphone arrays for time-limited signals

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3 Scopus citations


Spherical microphone arrays have recently been developed for a wide range of applications. In particular, scanning arrays in open-sphere configuration have been employed for room acoustics analysis, based on room impulse response measurements. However, it has been shown that the simple single-sphere configuration suffers from ill-conditioning around the zeros of the spherical Bessel function, and so alternative configurations, typically more complex, such as dual-sphere and single-sphere with cardioid microphones, have been proposed to overcome the effect of the Bessel nulls. This paper shows that in the particular case of time-limited signals, for example in room impulse response measurements, the ill-conditioning due to the spherical Bessel functions can be reduced using nonuniform sampling in the frequency domain. Following a presentation of the theory and a simulation study, an experimental example is presented for use of the method in a single-sphere measurement in an auditorium.

Original languageEnglish
Article number5741831
Pages (from-to)2430-2438
Number of pages9
JournalIEEE Transactions on Audio, Speech and Language Processing
Issue number8
StatePublished - 1 Nov 2011


  • Non-uniform sampling
  • Numerical robustness
  • Spatial sampling
  • Spherical arrays
  • Spherical bessel zeros

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering


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