Array Beamforming

Van Trees — Antenna Array Pattern, Steering, and Grating Lobes

Array

Steering

Tapering (Window)

Computed

3 dB Beamwidth
First Null BW
Peak SLL
Array Gain
Grating Lobes
Array Factor
AF(θ) = Σ wn ejn·2πd/λ·(sinθ-sinθ0)

Half-power beamwidth (uniform):
θ3dB ≈ 0.886λ/(Nd cosθ0)

Grating lobes appear when:
d/λ ≥ 1/(1+|sinθ0|)