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Capri Wireless School Sept. 13 -17, 2004. Electromagnetic Propagation in Urban Areas Giorgio Franceschetti University Federico II of Napoli (Italy) and University of California at Los Angeles (UCLA). The Urban Channel Model. Numerical and Graphical Solvers for Urban Propagation

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The Urban Channel Model


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the urban channel model

Capri Wireless School

Sept. 13 -17, 2004

  • Electromagnetic Propagation in Urban Areas
  • Giorgio Franceschetti
  • University Federico II of Napoli (Italy)
  • and University of California at Los Angeles (UCLA)

The Urban Channel Model

  • Numerical and Graphical Solvers for Urban Propagation
  • Daniele Riccio
  • University Federico II of Napoli (Italy)
  • Analytical Approaches to Propagation in Urban Areas
  • Massimo Franceschetti
  • University of California at San Diego (UCSD)
electromagnetic propagation in urban areas

Capri Wireless School

Sept. 13 -17, 2004

Giorgio Franceschetti

University Federico II of Napoli , Italy

and University of California at Los Angeles (UCLA)

Electromagnetic Propagation in Urban Areas

Topics

  • The city ensemble
  • The deterministic approach
  • The probabilistic approach
the city ensemble

Capri Wireless School

Sept. 13 -17, 2004

The city ensemble

  • The cities distribution may be considered as a stochastic process, each city being an element of this ensemble
the deterministic geometrical model dgm

Capri Wireless School

Sept. 13 -17, 2004

The Deterministic Geometrical Model DGM

  • Buildings schematisation
  • Ray tracing procedures
dgm cnd

Capri Wireless School

Sept. 13 -17, 2004

  • Buildings schematisation

DGM cnd

dgm cnd1

Capri Wireless School

Sept. 13 -17, 2004

  • Ray tracing procedures

DGM cnd

dgm cnd2

Capri Wireless School

Sept. 13 -17, 2004

Attractive features

DGM cnd

  • Canyon effect well described
  • Illumination in geometrically obscured areas is provided
  • Modulated signal can be accounted for
dgm cnd3

Capri Wireless School

Sept. 13 -17, 2004

Limitations

DGM cnd

  • Model validity
  • Adopted algorithm precision
  • Computational efficiency
dgm cnd4

Equation:

stopping at iteration I, total number of equivalent sources

For

total number of equivalent sources

For

Capri Wireless School

Sept. 13 -17, 2004

  • Computational efficiency exploited

DGM cnd

the stochastic environment model sem

Capri Wireless School

Sept. 13 -17, 2004

The Stochastic Environment Model SEM

  • Description of general features of urban propagation, relying in a minimum number of physically meaningful parameters
  • Stochastic Environment Small–scatterers Model
  • SESM
  • Stochastic Environment Large–scatterers Model
  • SELM
sem cnd

scattering mechanism dominated by myriads of small scatterers present in the city body

  • SESM:

probabilistic description of building distribution as a percolative lattice

  • SELM:

Capri Wireless School

Sept. 13 -17, 2004

SEM cnd

sem cnd1

Capri Wireless School

Sept. 13 -17, 2004

  • Examples of percolative lattices

SEM cnd

stochastic environment small scatterers model sesm

Doppler shift issue

Capri Wireless School

Sept. 13 -17, 2004

Stochastic Environment Small–scatterers ModelSESM

  • Power summation issue
sesm cnd1

Pdf of injected photon to undergo its first hit at P(r)

  • Photons absorbed with pdf , andscattered around with pdf

Capri Wireless School

Sept. 13 -17, 2004

SESM cnd

  • Pdf of total power absorbed at P(r) is the sum of those lostby photons that reach P(r)after one hit, two hits, three hits, ………
sesm cnd2

Capri Wireless School

Sept. 13 -17, 2004

SESM cnd

  • Radio – link equation
slide17

Capri Wireless School

Sept. 13 -17, 2004

Stochastic Environment Large–scatterers Model

SELM

slide18

Capri Wireless School

Sept. 13 -17, 2004