Phased Array
Understanding Phased Arrays
Phased arrays are the most important antenna technology of the 21st century. They enable 5G mmWave communications (beam tracking to mobile users), modern military radar (agile beam for tracking multiple targets), and satellite internet (Starlink user terminals). The ability to steer a beam electronically in microseconds, without any mechanical movement, transforms how wireless systems operate. Multiple beams, null steering, adaptive interference rejection: all become possible with a phased array.
Phased Array Equations
AF = Σ wnej(n·kd·sinθ + φn)
Beamwidth:
θ3dB ≈ 0.886λ/(Nd·cosθs)
Grating lobe condition:
d ≤ λ/(1+|sinθmax|)
Phased Array Applications
| Application | Elements | Frequency | Scan Range | Technology |
|---|---|---|---|---|
| 5G mmWave BS | 256-1024 | 28/39 GHz | ±60° | SiGe/GaAs RFIC |
| 5G mmWave UE | 4-16 | 28/39 GHz | ±45° | SiGe beamformer |
| AESA radar | 1000-2000 | X/S band | ±60° | GaN T/R modules |
| Starlink terminal | ~1200 | Ku/Ka | ±55° | Custom RFIC |
| Auto radar | 12-48 | 77 GHz | ±15° | SiGe transceiver |
Key Equations
Pr = PtGtGr(λ/4πd)²
Antenna gain:
G = ηap × 4πAeff/λ²
Beamwidth (3 dB):
θ ≈ 70λ/D degrees
Comparison
| Elements | Gain | Beamwidth | Scan | Application |
|---|---|---|---|---|
| 16 | 18 dBi | 25° | ±45° | WiFi MIMO |
| 64 | 24 dBi | 12° | ±60° | 5G gNB |
| 256 | 30 dBi | 6° | ±60° | Satcom |
| 1024 | 36 dBi | 3° | ±60° | Radar |
| 4096 | 42 dBi | 1.5° | ±45° | AESA radar |
Frequently Asked Questions
Beam steering?
Progressive phase shift per element: delta_phi = k*d*sin(theta). d=lambda/2, 30 deg: 90 deg/element. Max scan limited by cos(theta) gain rolloff. Grating lobes: d <= lambda/2 required for full hemisphere.
AESA?
T/R module per element: PA+LNA+phase shifter+switch. Graceful degradation, distributed amplification, better NF. F-22: 2000 modules. 5G BS: 256-1024 elements. Starlink: ~1200 elements.
vs massive MIMO?
Phased array: analog phase shifters, single beam, combined before digitization. Massive MIMO: per-element ADC/DAC, digital beamforming, many simultaneous beams. 5G: hybrid approach (analog subarray + digital across subarrays).