Submitted By Riaz (82081029) A Wideband MIMO Channel Model Derived From the Geometric Elliptical Scattering Model Space Signal Processing Home Work # 04.

Submitted By

Riaz (82081029)

A Wideband MIMO Channel Model Derived From the Geometric Elliptical

Scattering ModelSpace Signal Processing

Home Work # 04

Submitted to

Professor KyungHi Chang

Graduate School of Information Technology and Telecommunications

Inha University, South Korea

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Reference

A Wideband MIMO Channel Model Derived From the Geometric Elliptical Scattering Model

Patzold, M.   Hogstad, B.O.   Agder Univ. Coll., Grimstad;

This paper appears in: Wireless Communication Systems, 2006. ISWCS '06. 3rd International Symposium on

Publication Date: 6-8 Sept. 2006On page(s): 138-143ISBN: 978-1-4244-0398-1INSPEC Accession Number: 9642474Digital Object Identifier: 10.1109/ISWCS.2006.4362275Current Version Published: 2007-10-22

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Objectives

To extend the knowledge of channel modeling for wireless wideband communication using MIMO technology

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Contents

Introduction

Geometrical Elliptical Scattering Model

Derivation of Reference Model

Illustrative Examples and Numerical Results

Model Extensions

Conclusion

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Introduction

Realistic Channel Model is of crucial importance to design and performance evaluation of MIMO wireless systems

For Wideband wireless communication systems employing MIMO tech (MIMO-OFDM), channel models are required, which take into account the temporal, spatial and frequency correlation properties

In this paper, a space-time-frequency MIMO channel model has been derived from the geometrical elliptical scattering (GES) model

Extended work of spatial channel model for SIMO case to MIMO

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Geometrical Elliptical Scattering (GES) Model

All local scatterers associated with a certain path length are located on an ellipse, where BS and MS are located at the focal points

)(

)(

)(

)(

)(

)...2,1(

nR

nT

v

RT

RT

n Nns

Tilt angle of Antenna Array

Local Scatterers

Antenna Element Spacing

Angle of Rx Motion

Angle of Departure

Angle of arrival faM

faM

RR

TT

)1(

)1(**

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Reference Model: Derivation

).(

1

0

)(

lim)( nR

n

Rn DkrkjN

nn

NRkl eErg

Complex Channel Gain ),...,2,1(),...,2,1( )()(R

kRT

lT MlAMlA

Describing the Link

gain phase shift wave vector

spatial translation

vector

wave number

link length

number of scatterers

Since **The waves emerging from different transmit antennas arrive at a particular scatterer at approximately he same angle. Same to Rx.

So, Gains En and phase shifts caused by a particular scatterer are the same for waves arriving from (or traveling to) different transmit (receive) antenna elements

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Reference Model: Derivation

)(2

)cos(2.

1

),(),(0

)(max

)(

knR

nlTn

vnRR

n

R

n

DDDk

tfrk

NE

Gain 2nd, 3rd phase component

N

n

tfjkn

Nkl

nnebaN

tg1

)2(ln

01

lim)(

Relation bet AOD and AOA (Results of another Research Article)

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Reference Model: Correlation Functions

)'()'()()( kR

lT

kR

lT AAAA

)}()({:),,( *'''', tgtgE lkklRTlkkl

3D space-time CCF of the links

)}()({:)( * tgtgEr klklgkl

The temporal ACF

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Illustrative Examples

],(,)(2

1)( )cos(

0

Rk

RR

Re

kIpVon Mises Density

Controls the angular spread of AOA

If k=0 isotropic scattering

Accounts for the mean value of AOA

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Illustrative Examples

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Model Extensions: Multiple Clusters of Scatterers

Complex Channel Gain

weighting factor

C

ccklckl tgwtz

1, )()(

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Model Extensions: frequency Selectivity

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Model Extensions: frequency Selectivity

},''(),'({:)'( *' tvfHtfHEvr klkl FCF

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Conclusion

Reference model from GES model

Extension to multi-cluster scenarios and frequency selectivity

General formula for correlation functions

Design, test and analysis of future communication systems using MIMO-OFDM

Framework for the design of stochastic and deterministic MIMO channel simulators

Thanks for your cooperation

Questions/Comments