Phase-mode versus delay-and-sum spherical microphone array processing

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125 Scopus citations


Phase-mode spherical microphone array processing, also known as spherical harmonic array processing, has been recently studied for various applications. The spherical array configuration provides desired three-dimensional symmetry, while the phase modes provide frequency-independent spatial processing. This letter employs the spherical harmonic framework to compare the well-known delay-and-sum to the phase-mode processing for spherical arrays. The two approaches show similar performance at frequencies where the upper spherical harmonic order equals the product of the wave number and sphere radius. However, at lower frequencies, phase-mode processing maintains the same directivity, limited by signal-to-noise ratio, while for delay-and-sum, spatial resolution deteriorates.

Original languageEnglish
Pages (from-to)713-716
Number of pages4
JournalIEEE Signal Processing Letters
Issue number10
StatePublished - 1 Oct 2005


  • Microphone arrays
  • Phase-mode processing
  • Spherical harmonics
  • Spherical microphone array

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics


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