Problem formulation

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

Abstract

In this chapter, we explain some important aspects of beam forming and differential arrays. The problem of a DMA design is formulated while we progress in defining some useful concepts. We start with the definition of the steering vector for a plane wave with the conventional anechoic far field model. We give the general definition of the beam pattern as well as its expression for directional arrays. We then derive the gain in signal-to-noise ratio (SNR), which can be very useful in the evaluation of DMAs under different types of noise. Finally, we discuss the Vander monde matrix, which always appears, explicitly or implicitly, in the design of DMAs.

Original languageEnglish
Title of host publicationSpringer Topics in Signal Processing
PublisherSpringer Science and Business Media B.V.
Pages15-31
Number of pages17
DOIs
StatePublished - 2013
Externally publishedYes

Publication series

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

Keywords

  • Directivity Factor
  • Main Lobe
  • Microphone Array
  • Noise Source
  • Steering Vector

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