Design of circular differential arrays with the jacobi-anger expansion

Jacob Benesty, Jingdong Chen, Israel Cohen

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


In this chapter, we show that the patterns of differential arrays can be obtained from the general definition of the beampattern by approximating the exponential function with the Jacobi-Anger expansion. In other words, a directivity pattern of order N can be obtained from the Jacobi-Anger expansion of order N, as long as this approximation holds. We also explain how to design circular differential arrays based on this approach and their relationship to adaptive beamforming. Finally, we discuss the ideal beampattern and demonstrate that it can be designed like a CDMA.

Original languageEnglish
Title of host publicationDesign of Circular Differential Microphone Arrays
Number of pages22
StatePublished - 2015

Publication series

NameSpringer Topics in Signal Processing

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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