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Slide titleIn CAPITALS
50 pt
Slide subtitle 32 pt
MIMO Basics
Top right corner for field-mark, customer or partner logotypes. See Best practice for example.
Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-232
Multiple antenna benefits
Diversity“Reduce fading”
Example
Transmit the signal in all Transmit the signal in all directionsdirections
Multiplexing“Capacity multiplication”
Example
Transmit several signals in Transmit several signals in different directionsdifferent directions
S-PDela
y
DirectivityAntenna/Beamforming gain
Example
Transmit the signal in the Transmit the signal in the best directionbest direction
Channel knowledge (average/instant)
Slide titleIn CAPITALS
50 pt
Slide subtitle 32 pt
Directivity
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-234
Beamforming
Beamforming provides antenna gain– Cell edge coverage
Constructive summation of signals (in the air)– Align phases between several transmitted copies of the
signal
Spatial isolation between users– Multi-user scheduling (SDMA)
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-235
Beamforming solutions
”Traditional” beamforming– Same fading on all antennas– Stear beam by phase shift on antennas
Estimate ”direction” from UL OR Slow feedback
Antenna constallation do not match ”MIMO multiplexing”
Reference symbols provided in ”beam”– Cannot be used by others– Cannot estimate CQI when not scheduled
/2
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-236
More beamforming solutions
Pre-coded based beamforming– Align signals by fixed BF vectors– A ”code-book” of vectors
UE pick ”best” vector Do not require same fading on antennas Blends with ”MIMO multiplexing” Different fading over frequencies
– Feedback/resource block Reference symbol per ”antenna”
– Possible to estimate CQI even when not scheduled
4-10
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-237
Pre-coding based BF
Code-book Maximize SNR, rate, throughput, ...
From RS
The UE feeds back an index to the preffered pre-coding vector
4/74/54/34/
1111 jjjj eeee
kHH
kkP wHHw
Slide titleIn CAPITALS
50 pt
Slide subtitle 32 pt
Diversity
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-239
Transmit Diversity (open loop)
Common channels– Link adaptation not possible
Feedback not possible– High Doppler– Cell edge
Large Tx Antenna Distance is desirable Two antenna ports:
– Space-Frequency Block Coding
Four antenna ports: – SFBC + Frequency Shift Transmit Diversity (FSTD)
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2310
LTE Downlink transmit diversity Two antenna ports:
– Space-Frequency Block Coding SFBC– Like WCDMA STTD (Alamuthi) but in frequency domain
SFBCcoder
s1
s2
IFFT
s1
s2
IFFT
-s2*
s1*
Antenna port #1
Antenna port #2
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2311
LTE Downlink transmit diversity
s1
s2
s3
s4
IFFT
s1
s2
0
0
IFFT
0
0
s3
s4
IFFT
s2*
-s1*
0
0
IFFT
0
0
s4*
-s3*
Antenna port #1
Antenna port #2
Antenna port #3
Antenna port #4
SFBCcoder
Four antenna ports: – SFBC + Frequency Shift Transmit Diversity (FSTD)– Like Time Switched Transmit Diversity but in frequency domain
Slide titleIn CAPITALS
50 pt
Slide subtitle 32 pt
Multiplexing
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2313
Why Spatial Multiplexing?
Directivity and Diversity techiques improves SNR Capacity = Bandwidth × log2(1 + SNR)
– Low SNR: Capacity ~ Bandwidth × SNR – High SNR: Capacity ~ Bandwidth × log2(SNR) Saturation
If SNR is high then it is better to share it between several r streams with SNR/r each
– This works if r ≤ min{NT, NR} channel rank r
If SNR is low then the spatial multiplexing provides no gains over directivity and/or diversity techniques
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Slide title 40 pt
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Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2314
Spatial Multiplexing
Spatial Multiplexing may give rmax times higher throughput!– Transmit rmax = min(NT, NR) parallel symbol streams
– Gain depends on channel properties Well-conditioned channel – a.k.a. full rank channel
Maximum Likelihood receiver– Transmitted modulation alphabet known– Channel realization is known– Conceptually simple – computationally complex
Calculate probability of the received signal vector conditioned on every possible transmitter signal vector.
Select maximum.
Tx Rec
NRNT
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2315
Multi-stream transmission
Same rate on each layer One CQI feedback Joint coding gain
Adapt rate on each layer One CQI feedback per layer Successive interference
cancellation (SIC) gain
Multi code word
S/P
Coding &modulation
R1
R2
R3
R4
RX
Coding &modulation
Coding &modulation
Coding &modulation
Transmitter
Feedback (channel state)
Single code word
S/P
R
R
R
R
4R Jointdetection
Feedback (channel state)
Coding &modulation
Slide titleIn CAPITALS
50 pt
Slide subtitle 32 pt
Downlink Multi-Antenna Transmission in LTE
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2317
Multi-antenna transmission OFDM works particularly well with MIMO
– MIMO becomes difficult when there is time dispersion– OFDM sub-carriers are flat fading (no time dispersion)
3GPP supports one, two, or four transmit Antenna Ports Multiple antenna ports Multiple time-frequency grids Each antenna port defined by an associated Reference Signal
Antenna port #1Antenna port #2Antenna port #3Antenna port #4
Single-antenna transmisson
Multi-antenna transmisson
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Ericsson Confidential 2007-03-2318
Multi-stream transmission in 3GPP
MIMO on/off on slow basis (several 100 ms)
– Unreliable feedback– Rank adaptation: Adapt # of streams to channel conditions
Multi code word– Exploit capacity gain by SIC– Maximum # of codewords: 2
UE feedback– Pre-coding matrix indicator (frequency selective)– Channel quality indicator (frequency selective)– Rank-indicator (for the full bandwidth)
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2319
LTE Multi-antenna transmission
Spatial Multiplexing w. Pre-coding based Beam-forming– Multiple parallel data streams Higher data rates– One or two code words– Number of layers Number of antenna ports– Pre-coding weights based on UE feedback (beam-forming)
Transmit Diversity (”open-loop”)– Transmission of same information from multiple antenna ports Diversity– One code word– Number of layers = Number of antenna ports
Layermapping
Precoding
Up to four layers
RE mappingUp to four
”Antenna Ports”
RE mapping
One or two code words
Multi-antenna processing
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Slide title 40 pt
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Bullets level 2-520 pt
Ericsson Confidential 2007-03-2320
Downlink spatial multiplexingLayer mapping
Maximum of two code words Mapping to up to four layers
– Number of layers depends on channel ”rank”– Dynamically adjusted based on UE reports
One layer(No MIMO)
Two layers Three layers Four layers
One code word Two code words Two code words Two code words
Transport format (modulation scheme and code rate) may differ between the code words
Same number of symbols on each layer
Layermapping
Up to four layers
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Slide title 40 pt
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Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2321
Downlink spatial multiplexingPrecoding
One symbol from each of NL layers linearly mapped to NA antenna ports
UE reports recommended precoder matrix W (including channel rank)– Set of available precoder matrices = The precoder ”code book”
Used precoder matrix signaled by network (1 bit)– Network does not need to follow UE recommendation
One layer ”Closed-loop” TX diversity = ”Beam forming”
x
Precoding
W
yxWy
4 antenna portsLayer 1
Layer 2
Layer 3
Example: NL = 3, NA = 4
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Slide title 40 pt
Slide subtitle 24 pt
Text 24 pt
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Ericsson Confidential 2007-03-2322
Precoder code booksTwo antenna ports (NA = 2)
10
01
2
1
1
0
11
2
1
1
1
2
1
0
1
11
11
2
1
j
1
2
1
j
1
2
1
jj
11
2
1
6
5
4
3
2
1
NL = 2Codebook
index
Number of layersNL = 1
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Slide title 40 pt
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Text 24 pt
Bullets level 2-520 pt
Ericsson Confidential 2007-03-2323
Precoding with Spatial Multiplexing
Codeword 1
Codeword 2
Mod
Mod
CW2layer Wf
IDFT
IDFT
sf
DFT
DFT
yf
Hf
yf = HfWfsf + ef
RTTTTRRR
T
T
2
1
2
1
21
22221
11211
21
22221
11211
,,,
N
f
r
f
rNNN
r
r
f
NNNN
N
N
f
e
e
e
s
s
s
www
www
www
hhh
hhh
hhh
esWH
#receive antennas: NR, #transmit antennas: NT, #layers: rNote: r is also referred to as transmission rank
Precoder
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Slide title 40 pt
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Ericsson Confidential 2007-03-2324
Codebook based Precoding Precoding weight Wf selected from a countable and finite set
where W(r) is the codebook for rank r containing Qr different NT x r precoding matrices
Rank and precoder element selection– Exhaustive search over all precoder and rank combinations– Select the combination giving the highest estimated throughput
Codebook based precoding is a form of channel quantization FDD: Selection is carried out on UE side and recommendations fed
back to eNodeB TDD: Channel reciprocity may also be used to conduct precoder
selection on eNodeB side– Still under discussion
)()(2
)(1 ,,, r
Qrr
rrW WWW
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Ericsson Confidential 2007-03-2326
3GPP LTE – Advanced antenna solutions
Two codewords + beam-forming (4x2)Two codewords + beam-forming (4x2)
Two codewords (2x2)Two codewords (2x2)
Single-codeword + Single-codeword + beam-forming (4x2)beam-forming (4x2)
Single-codeword 1x2Single-codeword 1x2
Coverage
Th
rou
gh
pu
t
Different antenna solutions needed Different antenna solutions needed depending on what to achievedepending on what to achieve