This paper reports a method for synthesizing a 2D Butler Matrix for a 3x3 array. The method relies on the Jordan decomposition and on the QR decomposition and can be formally extended to any number of orthogonal beams and antennas. The synthesized 2D beamformer providing nine beams is simulated on Keysight-ADS and the output amplitudes and phases are used to feed a 3x3 array. The simulated results show that the array coverage is consistent with a 2D, nine beams Butler matrix.

Synthesis of a planar 2D Butler Matrix: A Showcase with a 3×3 Array

Bordbar A.;De Marco R.;Boccia L.;Arnieri E.;Amendola G.
2024-01-01

Abstract

This paper reports a method for synthesizing a 2D Butler Matrix for a 3x3 array. The method relies on the Jordan decomposition and on the QR decomposition and can be formally extended to any number of orthogonal beams and antennas. The synthesized 2D beamformer providing nine beams is simulated on Keysight-ADS and the output amplitudes and phases are used to feed a 3x3 array. The simulated results show that the array coverage is consistent with a 2D, nine beams Butler matrix.
2024
2D Butler matrix synthesis
Beamformer network
Jordan decomposition
QR decomposition
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/372840
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