What is it about?

Coprime arrays until now have been composed of two uniform linear subarrays, each with inter-element spacings that are coprime multiples of the spatial Nyquist limit. Their upper-limit frequency and angular resolution scale with the product of these two coprime factors. By using three subarrays, another factor is introduced, which again multiplies the angular resolution and upper-limit frequency, further reducing the number of elements required to span a large aperture.

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Why is it important?

Microphone arrays are useful for locating sound sources, as well as separating an acoustic signal from noise. Optimizing array geometries allows for less expensive and less complicated microphone arrays, which may make them more accessible for use in a wider range of applications.

Perspectives

When I initially had this idea, I thought it was too obvious to publish. Three years later, no other coprime array researcher had made mention of it (to my knowledge), so it became my duty to get the information out. One of the reviewers called the extension to more than two subarrays "trivial," and while I agree does seem obvious in retrospect, it is not trivial in the sense that it has the potential to greatly improve the performance of coprime arrays.

Dane Bush
Rensselaer Polytechnic Institute

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This page is a summary of: n-tuple coprime sensor arrays, The Journal of the Acoustical Society of America, December 2017, Acoustical Society of America (ASA),
DOI: 10.1121/1.5017531.
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