Study and design of differential arrays with the maclaurin’s series approximation

Jacob Benesty, Jingdong Chen

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

Abstract

In Chapter 2, we showed that the patterns of differential arrays can be obtained from the general definition of the beam pattern by approximating the exponential function with its MacLaurin’s series expansion. In other words, a directional pattern of order N can be obtained from the MacLaurin’s series of order N, as long as this approximation holds. In this chapter, we show how to design differential arrays based on this approach and their relationship to adaptive beam forming. This investigation is far from complete and more can be done; our aim here is just to show the potential of this new concept.

Original languageEnglish
Title of host publicationSpringer Topics in Signal Processing
PublisherSpringer Science and Business Media B.V.
Pages145-179
Number of pages35
DOIs
StatePublished - 2013

Publication series

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

Keywords

  • Directional Pattern
  • Directivity Factor
  • Microphone Array
  • Uniform Linear Array
  • Vandermonde Matrix

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