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Introduction: - Numerical Electromagnetics Methodologies:

Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas D. Sarris The Edward S. Rogers Sr. Department of Electrical and Computer Engineering University of Toronto. OUTLINE. Introduction: - Numerical Electromagnetics Methodologies:

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Introduction: - Numerical Electromagnetics Methodologies:

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  1. Fast Wideband Electromagnetic Modeling of Indoor Wireless ChannelsAbbas Alighanbari Supervised by: Prof. Costas D. SarrisThe Edward S. Rogers Sr. Department ofElectrical and Computer EngineeringUniversity of Toronto

  2. OUTLINE • Introduction: - Numerical Electromagnetics • Methodologies: - High-order Time-Domain Techniques (S-MRTD v.s. FDTD) • Applications to Wireless Communications: - Signal Fading Predictions - Wideband Characteristics - Optimum Signal Transmission and Detection • Future Work and Conclusions

  3. Numerical Electromagnetics Method of Moments and Finite Elements RF systems wireless communications EMC compliance • Time-Domain: - Finite-Difference Time-Domain (FDTD) - Multi-Resolution Time-Domain (MRTD) • Frequency-Domain - Finite Element Method (FEM) - Software: HFSS, FEMLAB

  4. Spatial field expansion Wavelet basis Pulse basis Galerkin method Galerkin method F D T D M R T D MRTD vs FDTD : Formulation Reference : Krumpholz et al, “A Field Theoretical Comparison of FDTD and TLM”, IEEE MTT-T, Sept. 1995

  5. Spatial Sampling Functions Order-7 Deslauriers-Dubuc Scaling Function Smooth, Compact, Symmetric scaling functions Deslauriers-Dubuc Coifman Daubechies Battle-Lemmarie High-order Families:

  6. Applications • Microwave and Optical Circuits - RF Circuits and Antenna Design • Wireless Communications - Mobile Communications - Indoor Wireless Networks - Ultra-Wideband Systems

  7. Ultra-Wideband Wireless • Extremely narrow pulse width (less than 1ns) • Low spectral power density ( Less than noise level) • Low Interference to/from other wireless systems • High speed multiple users • High channel capacity

  8. OUTLINE • Introduction: - Numerical Electromagnetics • Methodologies: - High-order Time-Domain Techniques (S-MRTD v.s. FDTD) • Applications to Wireless Communications: - Accurate Signal Fading Predictions - Wideband Characteristics and Channel Responses - Optimum Signal Transmission and Detection • Future Work and Conclusions

  9. Wideband Channel Modeling Simulated Floor plan: P2 * * P1

  10. Channel Responses S-MRTD-5 : 3hrs/11min S-MRTD-7.5: 11hrs/15min FDTD-20: 4 days (92hrs/16min) Receiving point P1 Receiving point P2

  11. Error-Time Performance 4 times saving on: - CPU time - Cache Memory

  12. Signal Fading Profile Sinusoidalsteady state S-MRTD-5 FDTD-10 52 hrs/36min 12 hrs/44min Conductivity= 0.002 S/m Relative Permittivity = 3

  13. Signal Fading Profile Sinusoidalsteady state FDTD-10 S-MRTD-5 52 hrs/36min 12 hrs/44min Conductivity= 0.05 S/m Relative Permittivity = 3

  14. Signal Attenuation (Fading) NLOS LOS LOS NLOS

  15. Power Profile 2

  16. Wall Attenuation and Guiding Effects Path Loss Exponent (PLE)

  17. Fading Statistics - Rayleigh Model NLOS points σ= rms value of the received signal Cumulative Density Functions

  18. Conclusions • Performance Analysis and Applications of S-MRTD • The application of S-MRTD to Wireless Channel Modeling • Fading and Statistical Properties • Optimized Signal Transmission and Detection

  19. Future Work • Investigation of Antenna Patterns in Smart Antenna Applications • Adaptive Mesh Refinement • 3D Modeling of Wireless Channels

  20. Questions/Remarks ? Thank you !

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