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Microwave and LiDAR remote sensing

Geoinformatics / Surveying (Geomatics) (B.Tech) · Remote sensing · free study notes for exams, placements and interviews

In short

Microwave remote sensing senses the Earth with wavelengths of about 1 mm to 1 m, and LiDAR with laser pulses in the visible to near-infrared, both usually as active systems that supply their own energy and measure the echo. Because they are active and (for microwaves) long-wavelength, they work at night, see through cloud, haze and smoke, and measure range directly — so they give all-weather imaging, millimetre-level ground deformation and bare-earth terrain under forest canopy, none of which optical imaging can do. The topic is examined heavily in GATE Geomatics (GE) and university remote-sensing papers: radar geometry, resolution expressions, backscatter and polarisation, interferometry, and lidar point-cloud processing. In India it underpins RISAT-1A/2B series SAR, EOS-04, the NASA-ISRO NISAR mission, flood and crop mapping at NRSC/MOSDAC, and the bulk of commercial aerial-lidar corridor and city mapping work (metros, highways, power lines, river basins).

Explained

Microwave fundamentals: bands, geometry and terms

Resolution, SAR principle and geometric distortions

Backscatter, polarisation and radar interpretation

LiDAR fundamentals, platforms and returns

LiDAR data processing and products

  1. Trajectory solution: differential GNSS (with a CORS/base station) plus IMU in a tight-coupled Kalman filter.
  2. Point-cloud generation and strip adjustment / boresight calibration: remove systematic offsets between overlapping strips (checked on flat hard surfaces and roof planes).
  3. Noise/outlier removal: low points (multipath) and high points (birds, cloud).
  4. Classification (filtering): separate ground from non-ground by progressive TIN densification, morphological/slope-based filters or cloth simulation; then buildings, vegetation (low/medium/high), water, bridges. The ASPRS LAS format fixes standard class codes (2 = ground, 3–5 vegetation, 6 = building, 9 = water); LAZ is the compressed form.
  5. Products: DTM/DEM (bare earth, from ground points), DSM (first returns — includes buildings and canopy), nDSM/CHM = DSM − DTM (object/canopy height), contours, break-lines, 3-D building models (LoD1/LoD2), cross-sections, volumes, power-line catenary and clearance, forest metrics (canopy cover, height percentiles, AGB models).
  6. Accuracy drivers: vertical accuracy typically 5–15 cm (1σ) for ALS, horizontal 2–3× worse and strongly dependent on flying height and IMU attitude error; errors grow with range × angular error. Accuracy is validated against GNSS/DGPS check points on open hard surfaces (RMSEz).
  7. Specification parameters: point density (points/m²), swath width = 2H·tan(FOV/2), overlap (usually 20–30%), pulse rate, scan frequency, flying height, speed — these are what a tender asks for.

Comparisons, limitations and Indian practice

Key points

Formulas and examples

Slant range R = c·t / 2 — c = 3 × 10⁸ m/s (speed of light), t = two-way travel time (s), R in m
Ground range Rg = R·sin θ; height from a flat-earth approximation h = H − R·cos θ
Range resolution Rr = c·τ / (2 sin θ) = c / (2 B sin θ) — τ = compressed pulse width (s), B = chirp bandwidth (Hz), θ = incidence angle
Antenna beamwidth β ≈ λ / L (radians); real-aperture azimuth resolution Ra = β·R = λ·R / L
SAR azimuth resolution Ra(SAR) ≈ L / 2 — L = physical antenna length along track (m)
Synthetic aperture length Ls = λ·R / L; PRF limits: 2V/L ≤ PRF ≤ c / (2·Swath_slant)
Backscattering coefficient σ⁰(dB) = 10·log₁₀(σ⁰ linear)
Speckle: number of looks N → σ(intensity)/mean = 1/√N
Rayleigh smoothness criterion: surface is smooth if h < λ / (8 cos θ) — h = RMS surface height
InSAR: Δφ = (4π/λ)·ΔR; one fringe (2π) = λ/2 of line-of-sight displacement in DInSAR
Ambiguity height ha = λ·R·sin θ / (2·B⊥) — B⊥ = perpendicular baseline (m)
LiDAR range R = c·t / 2; range error δR = c·δt / 2
LiDAR swath width SW = 2·H·tan(FOV/2) — H = flying height above ground (m), FOV = total scan angle
Point density D = PRF / (V · SW) points/m² (single strip, no overlap) — PRF in pulses/s, V = ground speed (m/s)
Canopy/object height model CHM = DSM − DTM

Example 1 — SAR resolutions. A spaceborne SAR: λ = 5.6 cm (C-band), antenna L = 10 m, slant range R = 850 km, chirp bandwidth B = 50 MHz, incidence angle θ = 30°.

Example 2 — slant range, ground range and target height. Travel time t = 5.8 ms from a platform at H = 800 km with θ = 35°.

Example 3 — speckle and multi-looking. A single-look intensity image has a coefficient of variation of 1.0 (100%).

Example 4 — DInSAR displacement. A C-band interferogram (λ = 5.6 cm) over a subsiding city shows 3.5 fringes in one year between a stable reference and a settlement bowl.

Example 5 — lidar mission planning. ALS flown at H = 1,500 m AGL, total FOV = 40°, PRF = 300 kHz, aircraft speed = 60 m/s, side overlap 30%.

PropertyOptical (passive)SAR (active microwave)LiDAR (active optical)
Energy sourceSunOwn transmitterOwn laser
Cloud / nightBlocked / no night imagingPenetrates cloud, works at nightBlocked by cloud, works at night
Primary measurementReflectance (spectral)Amplitude + phase of backscatterRange (3-D coordinates)
GeometryCentral/pushbroom perspectiveRange-Doppler, side-lookingPolar ranging, direct georeferencing
Height sourceStereo parallaxInSAR / radargrammetryDirect ranging
Vertical accuracy (typical)0.5–2 m (stereo HR)cm-level for *change*; m-level for absolute DEM5–15 cm
Under canopyNoPartly (L/P band)Yes (last return)
Main artefactCloud, shadow, hazeSpeckle, layover, shadowVoids on water, point noise
BandλTypical useExample mission
X2.4–3.8 cmUrban detail, texture, snowRISAT-2B series, TerraSAR-X
C3.8–7.5 cmFlood, crop, soil moisture, deformationRISAT-1A, EOS-04, Sentinel-1
S7.5–15 cmAgriculture, bridging C and LNISAR (ISRO payload)
L15–30 cmForest biomass, subsurface, deformationNISAR (NASA payload), ALOS-2 PALSAR
P30–100 cmDeep canopy/ice penetrationBIOMASS (ESA)

Where it is used

Interview questions

Common mistakes

Related topics

Remote sensing sensors, platforms and Indian satellites · Digital image processing for remote sensing · Photogrammetry and drone surveys · GIS and remote sensing · DEM generation and terrain analysis · Geodesy, GNSS and coordinate systems

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