Minimum-norm solution for robust differential arrays

Jacob Benesty, Jingdong Chen

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter, we show how the classical adaptive beam forming technique is related to differential arrays. From this important and useful relationship, we then derive a minimum-norm filter for the design of any order differential array, which can be very robust against white noise amplification. This approach exploits the fact that the number of microphones is greater than the order of the DMA plus one. As a result, the more microphones, the more robust is the DMA for a predetermined order. We recall that all known DMAs are designed in such a way that their order plus one is equal to the number of microphones.

Original languageEnglish
Title of host publicationSpringer Topics in Signal Processing
PublisherSpringer Science and Business Media B.V.
Pages115-144
Number of pages30
DOIs
StatePublished - 2013

Publication series

NameSpringer Topics in Signal Processing
Volume6
ISSN (Print)1866-2609
ISSN (Electronic)1866-2617

Keywords

  • Adaptive Beamforming
  • Directivity Factor
  • Erential Array
  • Microphone Array
  • Minimum Variance Distortionless Response

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