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Constant-Beamwidth Kronecker Product Beamforming with Nonuniform Planar Arrays

Please cite our paper that is available at https://www.frontiersin.org/article/10.3389/frsip.2022.829463.

We included two main scripts to show how to create constant-beamwidth beamformers for symmetric nonuniform linear and planar arrays:

  • plotsForLinearArray.m - for a linear array
  • plotsForPlanarArray.m - for a planar array

Resulting plots for the linear array:

Resulting plots for the planar array:

Additional Details:

The symmetric linear array’s weights are computed with Algorithm1_AttainingTheWeights.m.
A more robust code that can be used: Algorithm1_AttainingTheWeights_robust.m.
The robust version works correctly for low resolutions of beta.

The symmetric linear array’s sensor positions can be found with two different algorithms: the iterative and non-iterative algorithms:

  • iterativeAlgorithm_sensorPositions_main.m - the iterative algorithm
  • nonIterativeAlgorithm_sensorPositions.m - the non-iterative algorithm

The iterative algorithm achieves superior performance but has high computational complexity.
The non-iterative algorithm has low complexity yet achieves on-par performance.

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