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University of Toronto – Connection 2006 1 Fast Wideband Fast Wideband Electromagnetic Modeling Electromagnetic Modeling of Indoor Wireless of Indoor Wireless Channels Channels Abbas Alighanbari Abbas Alighanbari Supervised by: Prof. Costas D. Sarris Supervised by: Prof. Costas D. Sarris The Edward S. Rogers Sr. Department of The Edward S. Rogers Sr. Department of Electrical and Computer Engineering Electrical and Computer Engineering University of Toronto University of Toronto

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Page 1: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

1

Fast Wideband Fast Wideband Electromagnetic Modeling of Electromagnetic Modeling of

Indoor Wireless ChannelsIndoor Wireless Channels

Abbas Alighanbari Abbas Alighanbari

Supervised by: Prof. Costas D. SarrisSupervised by: Prof. Costas D. Sarris

The Edward S. Rogers Sr. Department ofThe Edward S. Rogers Sr. Department ofElectrical and Computer EngineeringElectrical and Computer Engineering

University of TorontoUniversity of Toronto

Page 2: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

2

• 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

OUTLINE

Page 3: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

3

Numerical ElectromagneticsNumerical ElectromagneticsNumerical ElectromagneticsNumerical 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

Page 4: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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MRTD vs FDTD : FormulationMRTD vs FDTD : Formulation

Spatial field expansion Spatial field expansion

F D T D F D T D

Galerkin method Galerkin method

Pulse basis Wavelet basis

Galerkin method Galerkin method

M R T D M R T D

Reference : Krumpholz et al, “A Field Theoretical Comparison of FDTD and TLM”, IEEE MTT-T, Sept. 1995

Page 5: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Spatial Sampling FunctionsSpatial Sampling FunctionsSpatial Sampling FunctionsSpatial Sampling FunctionsOrder-7 Deslauriers-Dubuc Scaling Function

Smooth, Compact, Symmetric scaling functions

Deslauriers-DubucCoifman DaubechiesBattle-Lemmarie

High-order Families:

Page 6: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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ApplicationsApplicationsApplicationsApplications

• Microwave and Optical Circuits

- RF Circuits and Antenna Design

• Wireless Communications

- Mobile Communications

- Indoor Wireless Networks

- Ultra-Wideband Systems

Page 7: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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• 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

Ultra-Wideband Wireless

Page 8: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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• 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

OUTLINE

Page 9: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Wideband Channel ModelingWideband Channel ModelingWideband Channel ModelingWideband Channel Modeling

P1

*

*

P2

Simulated Floor plan:

Page 10: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Channel ResponsesChannel ResponsesChannel ResponsesChannel Responses

S-MRTD-5 : 3hrs/11min

S-MRTD-7.5: 11hrs/15min

FDTD-20: 4 days (92hrs/16min)

Receiving point P1

5/mindzdx : withMRTD-S

5.7/mindzdx: withMRTD-S

20/mindzdx : withFDTD

Receiving point P2

Page 11: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Error-Time PerformanceError-Time PerformanceError-Time PerformanceError-Time Performance

4 times saving on: - CPU time - Cache Memory

Page 12: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Signal Fading Profile Signal Fading Profile Signal Fading Profile Signal Fading Profile

Conductivity= 0.002 S/mRelative Permittivity = 3

FDTD-10 S-MRTD-5

Sinusoidal steady state

12 hrs/44min52 hrs/36min

Page 13: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Signal Fading ProfileSignal Fading Profile Signal Fading ProfileSignal Fading Profile

Conductivity= 0.05 S/mRelative Permittivity = 3

FDTD-10 S-MRTD-5

Sinusoidal steady state

12 hrs/44min52 hrs/36min

Page 14: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Signal Attenuation (Fading)Signal Attenuation (Fading)Signal Attenuation (Fading)Signal Attenuation (Fading)

LOS

NLOS

LOS

NLOS

Page 15: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Power Profile 2Power Profile 2Power Profile 2Power Profile 2

Page 16: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Wall Attenuation and Guiding Effects Wall Attenuation and Guiding Effects Wall Attenuation and Guiding Effects Wall Attenuation and Guiding Effects

010

010 10ˆ

ˆ10

d

dnLog

p

pLog

Path Loss Exponent (PLE)

Page 17: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Fading Statistics - Rayleigh ModelFading Statistics - Rayleigh ModelFading Statistics - Rayleigh ModelFading Statistics - Rayleigh Model

Cumulative Density Functions

NLOS points 0)(r rr

rp

,2

exp)(2

2

2 σ= rms value of the received signal

Page 18: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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ConclusionsConclusionsConclusionsConclusions

• 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

Page 19: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Future WorkFuture WorkFuture WorkFuture Work

• Investigation of Antenna Patterns in Smart Antenna Applications

• Adaptive Mesh Refinement

• 3D Modeling of Wireless Channels

Page 20: University of Toronto – Connection 2006 1 Fast Wideband Electromagnetic Modeling of Indoor Wireless Channels Abbas Alighanbari Supervised by: Prof. Costas

University of Toronto – Connection 2006

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Thank you !

Questions/Remarks ?Questions/Remarks ? Questions/Remarks ?Questions/Remarks ?