Phased-Array Hardware

  • Many elements (e.g. a grid of patches) form one aperture
  • Electronics control how their signals combine
  • The aperture can remain fixed while the beam moves (vs. gimbals or turning the spacecraft)

Electronic Beam Steering

  • Relative phase or delay sets the direction of constructive combination
  • The elements stay fixed
  • Transmit and receive use the same principle
  • Diagram: radiators fed through 0–360° phase shifters from a power distribution network; an equiphase front tilted to the scanned beam direction 𝜃0 from broadside
    • Element spacing 𝑑; progressive phase step between neighbors
    • Δ𝜑=2𝜋𝜆𝑑sin𝜃0
  • Reference: Delos, Broughton, and Kraft, Phased Array Antenna Patterns, Part 1 (Analog Devices)

The Same Array, a Different Beam

  • Eight elements, spacing 𝜆/2, uniform amplitudes (calculated linear-array factor)
  • Changing the phase progression moves the peak: one trace steered to 0°, one steered to 30°
    • The 30° beam is visibly broader than the broadside beam
  • Real scan performance also depends on each element’s own pattern

Multiple Beams from One Aperture

  • Common array element signals → separate combining weights → separate receivers
    • Weights for beam A → beam A receiver
    • Weights for beam B → beam B receiver
  • Separate combining weights select different directions

Arraying Ground Antennas

  • Several ground antennas, each with its own receiver, all observe the same spacecraft signal
    • Antenna 𝑖 + receiver → delay/phase alignment → signal combiner
  • Combine aligned voltages or baseband signals
  • Voyager used ground-antenna arraying (Ludwig and Taylor, Voyager Telecommunications, §§6.3.2–6.3.3)

What Arraying Buys Us

Equal receive antennasIdeal SNR improvementEquivalent area
1Reference𝐴𝑒
2About +3 dB2𝐴𝑒
4About +6 dB4𝐴𝑒
  • SNR = signal-to-noise ratio
  • Four equal 34 m apertures collect like one 68 m aperture if efficiencies match (4×342=682)
    • That does not make their patterns identical
  • Assumes equal signals/noise, uncorrelated receiver noise, ideal alignment and combining
  • Example: the Very Large Array (New Mexico) — 27 antennas, 25 m each, signals combined for radio astronomy