SAR
Understanding SAR
SAR is one of the most remarkable applications of coherent signal processing. By exploiting platform motion and phase-coherent recording, it achieves resolution that would require an impossibly large antenna. A satellite at 600 km altitude can image the ground with sub-meter resolution using a 5 m antenna. The equivalent real-aperture resolution at that range would require a 10 km antenna.
SAR images through clouds, fog, rain, and darkness, making it invaluable for surveillance, environmental monitoring, and disaster response. InSAR adds the ability to measure surface deformation with millimeter precision, enabling earthquake and volcanic monitoring from space.
SAR Equations
δr = c/(2B)
B=600MHz: δr=0.25m
Azimuth resolution (stripmap):
δaz = D/2
D=5m antenna: δaz=2.5m
(Independent of range!)
Synthetic aperture length:
Lsa = Rλ/D
R=600km, λ=3cm, D=5m: Lsa=3.6km
InSAR displacement:
Δd = λΔφ/(4π)
Δφ=1 rad, λ=5.6cm: Δd=4.5mm
SAR System Comparison
| Satellite | Band | Resolution | Swath | Revisit |
|---|---|---|---|---|
| TerraSAR-X | X (9.65G) | 0.25m | 10km | 11 days |
| Sentinel-1 | C (5.4G) | 5×20m | 250km | 6 days |
| ALOS-2 | L (1.27G) | 1-10m | 25-350km | 14 days |
| RADARSAT-2 | C (5.4G) | 1-100m | 18-500km | 24 days |
| TanDEM-X | X (9.65G) | 1-12m | 30-100km | 11 days |
Frequently Asked Questions
Resolution?
Range: δr=c/(2B). 600MHz BW: 0.25m. Pulse compression (LFM chirp). Azimuth: δaz=D/2 (stripmap). Platform motion synthesizes aperture Lsa=Rλ/D. Resolution = Rλ/(2Lsa) = D/2. 5m antenna = 2.5m at any range. Spotlight: steers to extend Lsa, achieves <D/2.
Modes?
Stripmap: fixed beam, D/2 resolution, continuous strip. Spotlight: beam steers to target, sub-D/2, small area. ScanSAR: multi-swath, wider coverage, coarser (10-100m). TOPS: progressive scan, uniform SNR (Sentinel-1 IW: 250km, 5×20m). ISAR: target moves, radar static (ship/aircraft ID).
InSAR?
Two SAR images, phase difference → displacement. Δd=λΔφ/(4π). Sentinel-1 C-band: 1-5mm precision/interferogram. PS-InSAR/SBAS: sub-mm with time series. Applications: earthquakes, volcanoes, landslides, glaciers, subsidence, infrastructure monitoring. TanDEM-X: simultaneous stereo for topographic DEM (2m vertical).