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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

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The Urban Channel Model

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  1. 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)

  2. 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

  3. 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

  4. Capri Wireless School Sept. 13 -17, 2004 The Deterministic Geometrical Model DGM • Buildings schematisation • Ray tracing procedures

  5. Capri Wireless School Sept. 13 -17, 2004 • Buildings schematisation DGM cnd

  6. Capri Wireless School Sept. 13 -17, 2004 • Ray tracing procedures DGM cnd

  7. 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

  8. Capri Wireless School Sept. 13 -17, 2004 Limitations DGM cnd • Model validity • Adopted algorithm precision • Computational efficiency

  9. 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

  10. 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

  11. 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

  12. Capri Wireless School Sept. 13 -17, 2004 • Examples of percolative lattices SEM cnd

  13. Doppler shift issue Capri Wireless School Sept. 13 -17, 2004 Stochastic Environment Small–scatterers ModelSESM • Power summation issue

  14. Capri Wireless School Sept. 13 -17, 2004 SESM cnd

  15. 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, ………

  16. Capri Wireless School Sept. 13 -17, 2004 SESM cnd • Radio – link equation

  17. Capri Wireless School Sept. 13 -17, 2004 Stochastic Environment Large–scatterers Model SELM

  18. Capri Wireless School Sept. 13 -17, 2004

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