Experiments in Weight Design for a Sombrero Array Pattern

Abstract

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Amplitude Tapers for Planar Arrays Using the McClellan Transformation: Concepts and Preliminary Design Experiments

“…Here (13) makes x 2D (n) ↔ X 2D (f ) a 2D discrete-time Fourier pair. Relationships (12) and (14), which move that pair relationship into 3D spatial coordinates, are structurally analogous to (10) and (9), so technically 3D Fourier pairx 3D (y) ↔ X 2D (aS) has an array taper ↔ array factor structure exactly as if x 2D (n) were the element weights for a (presumably) tiny planar array. But of course there is no such array.…”

“…The taper loss here increases by less than that amount in going from the narrow-beam case to the wide-beam case, indicating that a significant part of the narrow-beam taper loss comes from the energy in the sidelobe structure. Discussion of taper loss in greater depth and an approach to modifying the measure appropriately for wide-beam cases is detailed in [14].…”