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Related Experiment Video

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Frequency Mixing Magnetic Detection Scanner for Imaging Magnetic Particles in Planar Samples

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Published on: June 9, 2016

Arbitrary-order superdirectivity of circular sensor arrays.

Yong Wang¹, Yixin Yang¹, Yuanliang Ma¹

¹School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China.

The Journal of the Acoustical Society of America

|October 2, 2020

Summary

This study introduces an arbitrary-order superdirectivity model for circular sensor arrays, offering a flexible balance between directivity and robustness. The new model improves upon previous integer-order methods, providing enhanced performance with simpler calculations.

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Area of Science:

Acoustics and Signal Processing
Array Signal Processing
Electromagnetics

Background:

Superdirectivity enhances array directivity but is sensitive to errors.
Previous models used integer orders, potentially over-compromising directivity for robustness.

Purpose of the Study:

To present an arbitrary-order superdirectivity model for circular sensor arrays.
To offer a more flexible trade-off between directivity and robustness.
To enable synthesis of broadband superdirective beampatterns.

Main Methods:

Introduced a coefficient η to weight the (N+1)th-order entry in the weighting vector.
Derived closed-form solutions for beampattern, directivity factor, and error sensitivity.
Utilized a weighted combination of 0th- to Nth-order and the weighted (N+1)th-order entries.

Main Results:

The arbitrary-order model allows flexible compromise between directivity and robustness.
Broadband superdirective beampatterns can be synthesized with desired performance.
Simulations and experiments validate the model's flexibility and performance.

Conclusions:

The proposed arbitrary-order superdirectivity model is more flexible than integer-order models.
It achieves comparable performance to optimization-based methods with simpler closed-form solutions.
This method offers a practical approach for synthesizing superdirective beampatterns.