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Beamforming

Phased array antenna - electronically steerable beam

8 elements
0° (broadside)
0.5λ

Antenna Array Pattern

How Beamforming Works

Phase Shifting: By applying progressive phase delays across elements, the beam direction changes without physical movement.

Array Factor: AF(θ) = Σ exp(jn(kd·sinθ - Δφ)) where Δφ controls steering.

Beamwidth: ≈ λ/(N·d·cosθ). More elements = narrower beam = higher gain!

Grating Lobes: When d > λ/2, secondary main beams appear at other angles.

Applications: 5G mmWave, radar (AESA), satellite (Starlink), Wi-Fi 6.