Design of circular differential arrays with the jacobi-anger expansion

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Abstract

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 publicationSpringer Topics in Signal Processing
PublisherSpringer Science and Business Media B.V.
Pages143-164
Number of pages22
DOIs
StatePublished - 2015

Publication series

NameSpringer Topics in Signal Processing
Volume12
ISSN (Print)1866-2609
ISSN (Electronic)1866-2617

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