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.
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Benesty, J., Chen, J., Cohen, I. (2015). Design of Circular Differential Arrays with the Jacobi-Anger Expansion. In: Design of Circular Differential Microphone Arrays. Springer Topics in Signal Processing, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-14842-7_8
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DOI: https://doi.org/10.1007/978-3-319-14842-7_8
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-14842-7
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