Submitted By Riaz (82081029) A Wideband MIMO Channel Model Derived From the Geometric Elliptical Scattering Model Space 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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Submitted By Riaz (82081029) A Wideband MIMO Channel Model Derived From the Geometric Elliptical Scattering Model Space Signal Processing Home Work # 04.
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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
2
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
To extend the knowledge of channel modeling for wireless wideband communication using MIMO technology
4
Contents
Introduction
Geometrical Elliptical Scattering Model
Derivation of Reference Model
Illustrative Examples and Numerical Results
Model Extensions
Conclusion
5
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
6
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(**
7
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
8
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)
9
Reference Model: Correlation Functions
)'()'()()( kR
lT
kR
lT AAAA
)}()({:),,( *'''', tgtgE lkklRTlkkl
3D space-time CCF of the links
)}()({:)( * tgtgEr klklgkl
The temporal ACF
10
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
11
Illustrative Examples
12
Model Extensions: Multiple Clusters of Scatterers
Complex Channel Gain
weighting factor
C
ccklckl tgwtz
1, )()(
13
Model Extensions: frequency Selectivity
14
Model Extensions: frequency Selectivity
},''(),'({:)'( *' tvfHtfHEvr klkl FCF
15
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