Skip to main content

Large vs small scale models; propagation mechanisms

Short answer

Large-scale models predict mean received signal over hundreds or thousands of metres; small-scale models describe rapid fluctuations over a few wavelengths. The main propagation mechanisms are reflection, diffraction and scattering, plus absorption and waveguiding. These produce path loss, shadowing and multipath fading.

State the difference between large scale and small scale propagation model. Explain the different propagation mechanisms which have impact on propagation in mobile environment.

Large-scale vs small-scale propagation models

Large-scale models predict the mean received signal strength at a given T–R distance; small-scale (fading) models describe the rapid fluctuations of signal strength over very short distances or times.

PointLarge-scale modelSmall-scale model
PredictsMean signal / path lossRapid fluctuation (fading)
Distance scaleHundreds or thousands of metresA few wavelengths
Main causeDistance, terrain, shadowingMultipath and Doppler
VariationSlow, about 1/dⁿCan be 30–40 dB within λ/2
UseCoverage, cell planning, link budgetModem design, diversity, equalization
StatisticsLog-normal shadowingRayleigh / Ricean
ExamplesFree space, two-ray, log-distance, Okumura, HataFlat, frequency selective, fast, slow fading

Propagation mechanisms in a mobile environment

1. Reflection

  • Occurs when a wave hits an object with dimensions much larger than λ, e.g. the earth's surface, buildings and walls.
  • Part of the wave is reflected and part transmitted, depending on the Fresnel reflection coefficient Γ, which depends on material, polarization, angle and frequency.
  • Ground reflection gives the two-ray model, in which loss rises at 40 dB/decade. Reflections from many buildings cause multipath.

2. Diffraction

  • Occurs when the path is blocked by a surface with sharp edges (hills, rooftops).
  • Secondary wavelets (Huygens' principle) bend around the obstacle and reach the shadow region, so a signal is received even without LOS.
  • Loss depends on how much of the first Fresnel zone is blocked; modelled by knife-edge diffraction with parameter v.

3. Scattering

  • Occurs when the wave meets objects smaller than or comparable to λ, or rough surfaces (foliage, lamp posts, signs).
  • Energy is spread in all directions, giving additional received energy not predicted by reflection and diffraction alone.
  • Roughness is judged by the critical height hc = λ/(8 sin θi).
           diffraction at roof edge
  BS  ----->  _/|_____         scattering (tree)
   \          |  bldg |  ~~~>   *
    \ reflection      |        / \
     \______ground_____\_____ MS

Other effects: absorption/penetration loss through walls and foliage, and waveguiding along streets. Together these produce path loss, shadowing and multipath fading.

✓ Answer checked by Claude Opus 5.5 (high effort)

All Wireless Communication chapter 3 questions →