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Broadband pattern synthesis for circular sensor arrays.

Yong Wang1, Yixin Yang1, Yuanliang Ma1

  • 1School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, 710072, China yongwang.nwpu@gmail.com, yxyang@nwpu.edu.cn, ylma@nwpu.edu.cn, hezhengyao@163.com, webberliu@gmail.com.

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Summary
This summary is machine-generated.

This study presents a new method for designing frequency-invariant beamformers using circular sensor arrays. The approach optimizes beampattern synthesis by minimizing mean square error for improved performance.

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Area of Science:

  • Signal Processing
  • Array Signal Processing
  • Electromagnetics

Background:

  • Beamforming is crucial for sensor arrays to focus on desired signals and reject interference.
  • Designing frequency-invariant beamformers that maintain consistent performance across a range of frequencies is challenging.
  • Circular sensor arrays offer unique advantages in spatial sampling and pattern synthesis.

Purpose of the Study:

  • To derive closed-form solutions for pattern synthesis in circular sensor arrays.
  • To develop an effective and convenient scheme for designing practical frequency-invariant beamformers.
  • To minimize the mean square error between desired and synthesized beampatterns.

Main Methods:

  • Derivation of pattern synthesis solutions for circular sensor arrays.
  • Minimization of the mean square error (MSE) between desired and synthesized beampatterns.
  • Exact closed-form expressions for optimal weighting vectors, output beams, and minimum MSE.

Main Results:

  • Closed-form solutions for optimal weighting vectors and synthesized beampatterns were obtained.
  • The proposed method simplifies the design of frequency-invariant beamformers.
  • The minimum mean square error was analytically determined.

Conclusions:

  • The derived solutions offer a more effective and convenient approach for designing practical frequency-invariant beamformers.
  • Simulations and experimental results validate the performance of the proposed pattern synthesis method.
  • The approach provides a robust framework for advanced beamformer design with circular sensor arrays.