Clustering Complex Excitations in Linear Arrays with Hilbert Ordering

BENONI, Arianna and ROCCA, Paolo and ANSELMI, Nicola and MASSA, Andrea (2024) Clustering Complex Excitations in Linear Arrays with Hilbert Ordering. Technical Report. ELEDIA Research Center - University of Trento.

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Abstract

This study investigates the clustering of linear phased arrays (PAs) employing complex weights. Leveraging the inherent locality-preserving nature of the Hilbert curve, an initial reduction of problem dimensionality is performed. Subsequently, a basic clustering algorithm is adopted to enhance the alignment of the radiated pattern with a predefined reference. Both contiguous and noncontiguous partitions of the Hilbert-ordered list of complex excitations are comprehensively evaluated to systematically explore the solution space. Representative results, including reference PAs generating steered pencil and shaped beams, are presented for validation and to highlight the superior performance of the proposed approach over conventional k-means algorithms.

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