a low-complexity phase rotation estimation using …high-papr signal 30 august 2018 vtc2018-fall @...
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ROEC東北大学電気通信研究機構
Research Organization of Electrical Communication
Tohoku University
Amnart Boonkajay Fumiyuki Adachi
Wireless Signal Processing Research Group
Research Organization of Electrical Communication (ROEC), Tohoku University
Acknowledgement:
This work is a part of “The research and development project for realization of the fifth-generation mobile communications system”
commissioned to Tohoku University by The Ministry of Internal Affairs and Communications (MIC), Japan.
A Low-Complexity Phase Rotation Estimation using
Fourth-power Constellation for Blind SLMIEEE 88th Vehicular Technology Conference (VTC2018-Fall)
30 August 2018, Chicago, USA
Presentation outline
Introduction
High-PAPR signal
Blind selected mapping (blind SLM)
Computational complexity problem
Objective
Modified blind SLM for SC uplink (STBC-TD and MU-MIMO)
Transmitter
Receiver
Modified phase rotation sequence estimation
Performance evaluation
Conclusion & Future works The following figures are used throughout this presentation:
freq.
Analog waveform
Frequency-domain components (subcarriers)
D3D1D0 D2
Time-domain
Frequency-domain
time
d3d1d0 d2
Time-domain signal vector (pulse)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 2
High-PAPR signal
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 3
[A] D. Falconer, IEEE Trans. Commun., vol.59, no.4, pp.1154-1162, Apr 2011.
[B] J. Joung et al., IEEE Commun. Surveys&Tutorials, vol.17, no.1, pp.315-333, 1Q 2015.
Peak-to-average power ratio (PAPR) : definition
1
0
2
2
)(1
})(max{PAPR
cN
tc
tsN
ts peak
average inp
ut
ou
tpu
t
0
0.5
1
1.5
0 0.5 1 1.5 2 2.5
|Vout|
(vo
lt)
|Vin| (volt)
High-power amplifier (HPA)
-2
-1
0
1
2
Re{
s(t)
exp
(j2f c
t)}
Time index, t-2
-1
0
1
2
Re{
s(t)
exp
(j2f c
t)}
Time index, t-2
-1
0
1
2
Problem due to high-PAPR signal
Waveform distortion due to non-linear amplification[A] Solutions: using high-spec amplifier or back-off energy efficiency (EE) degrades[B]
High-PAPR signal
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 4
[A] D. Falconer, IEEE Trans. Commun., vol.59, no.4, pp.1154-1162, Apr 2011.
[B] J. Joung et al., IEEE Commun. Surveys&Tutorials, vol.17, no.1, pp.315-333, 1Q 2015.
[C] S. Okuyama et al., in Proc. VTC 2010-Spring, Taipei, Taiwan, May 2010.[D] S. Kumagai et al., IEICE Trans. Commun., Vol. E97-B, No. 9, pp. 1967-1976, Sept. 2014.
Peak-to-average power ratio (PAPR) : definition
1
0
2
2
)(1
})(max{PAPR
cN
tc
tsN
ts peak
average
Problem due to high-PAPR signal
Waveform distortion due to non-linear amplification[A] Solutions: using high-spec amplifier or back-off energy efficiency (EE) degrades[B]
inp
ut
ou
tpu
t
0
0.5
1
1.5
0 0.5 1 1.5 2 2.5
|Vout|
(vo
lt)
|Vin| (volt)
High-power amplifier (HPA)
-2
-1
0
1
2
Re{
s(t)
exp
(j2f c
t)}
Time index, t-2
-1
0
1
2
Re{
s(t)
exp
(j2f c
t)}
Time index, t-2
-1
0
1
2
PAPR : single-carrier (SC) vs. OFDM waveforms
SC waveform has lower PAPR appropriate for uplink transmission
But … PAPR increases due to transmit processing e.g. high-level modulation[C], transmit filtering and precoding[D], especially when the SC waveform
is generated by means of DFT-precoded OFDM
DF
T
High-PAPR signal
SC transmit signal processing (equivalent to DFT-precoded OFDM)
time
d3d1d0 d2
Time-domain
block
freq.
D3D1D0 D2
Frequency
components
Fre
qu
en
cy
ma
pp
ing
freq.
D3D1D0 D2
Filtered signal
IFF
T
Blind selected mapping (blind SLM)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 5
[E] R. W. Bauml et al., IEEE Electron. Lett., vol.32, no.22, pp.2056-2057, Oct. 1996.
* (complex-conjugate)
Side-information (sequence number)
FF
T
Eq
ua
lizer
IDF
T
time
time
Original
Phase rotation
sequence generator
※ Assuming SC uplink transmission, 3 sequences, 4 symbols
Data
0 = {0,0,0,0}
1 = {0,-120,-120,0}
2 = {120,-120,0,0}
Original
time
time
Codebook
Select a phase rotation sequence
giving the lowest PAPR[E]
User equipment
(UE)
Base station
(BS)
Spectrum efficiency (SE) degrades
BER degrades if there are errors on side
information detection
Blind selected mapping (blind SLM)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 6
[E] R. W. Bauml et al., IEEE Electron. Lett., vol.32, no.22, pp.2056-2057, Oct. 1996.[F] A. Boonkajay et al., Proc. ICICS2015, Singapore, Dec. 2015.[G] A. D. S. Jayalath et al., IEEE Trans. Wireless Commun., vol.4, no.5, pp.2006-2013, Sept. 2005.
* (complex-conjugate)
FF
T
Eq
ua
lizer
IDF
T
time
time
Original
Phase rotation
sequence estimator
※ Assuming SC uplink transmission, 3 sequences, 4 symbols
Data
0 = {0,0,0,0}
1 = {0,-120,-120,0}
2 = {120,-120,0,0}
Original
time
time
Codebook
Select a phase rotation sequence
giving the lowest PAPR[E]
User equipment
(UE)
Base station
(BS)
-2
-1
0
1
2
-2 -1 0 1 2
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0 = 30 dB
: correct de-mapping
: incorrect de-mapping
Estimate the selected phase rotation
sequence by exploiting the difference in
received constellations[F]
Previous studies about blind SLM:
OFDM transmission – has been studying in [G] from many years ago(meanwhile, [G] did not consider discrete phase rotation sequence like us)
SC transmission – firstly introduced by applying phase rotation sequence to either frequency
components [F] or time-domain symbols [H]
Blind SLM for MIMO transmission (single-user STBC-TD and MU-MIMO) were introduced in [I,J]
[H] A. Boonkajay et al., Proc. VTC 2016-Fall, Montreal, Canada, Sept. 2016.[I] A. Boonkajay et al., Proc. IEEE VTS APWCS2017, Incheon, Korea, Aug. 2017.[J] A. Boonkajay et al., Proc. IEEE/CIC ICCC2017, Qingdao, China, Oct. 2017.
Computational complexity problem
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 7
[F] A. Boonkajay et al., Proc. ICICS2015, Singapore, Dec. 2015.
[G] A. D. S. Jayalath et al., IEEE Trans. Wireless Commun., vol.4, no.5, pp.2006-2013,
Sept. 2005.
[K] A. Boonkajay et al., Proc. PIMRC2017, Montreal, Canada, Oct. 2017.
* (complex-conjugate)
FF
T
Eq
ua
lizer
IDF
T
time
time
Original
Phase rotation
pattern estimator
Estimation algorithm :mod
1*
0~ 10
ˆ{ ( )} arg min min ( ) ( )cN
m mm M
n
n n d n
Φ
The m-th phase sequences in codebook
Received signal after IDFT
QAM mapping
The above phase rotation estimation can be done by 2 approaches …
Maximum likelihood (ML) – applying all M possible de-mapping
sequences to search a correct sequence[F,G] high complexity
2-step estimation – using Viterbi algorithm to search an initial estimated
phase sequence, then applying verification to obtain a correct sequence[K]
5 6 7 8 9
108
107
106
105
Tota
l co
mp
uta
tion
al
com
ple
xit
y
PAPR0.1% (dB)
109
Note PAPR0.1% of transmission w/o SLM
OFDM : 16QAM 11.3 dB
SC : 16QAM 8.8 dB
ML estimation
2-step estimation
104
M=16
M=2048
M=256
M=64
M=16
M=2048
M=256
M=64
SISO, 16QAM transmission,
Random polyphase {0, 120, 240}
SC
OFDM
5 6 7 8 9
108
107
106
105
Tota
l co
mp
uta
tion
al
com
ple
xit
y
PAPR0.1% (dB)
109
Note PAPR0.1% of transmission w/o SLM
OFDM : 16QAM 11.3 dB
SC : 16QAM 8.8 dB
ML estimation
2-step estimation
104
M=16
M=2048
M=256
M=64
M=16
M=2048
M=256
M=64
SISO, 16QAM transmission,
Random polyphase {0, 120, 240}
SC
OFDM
Computational complexity problem
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 8
[F] A. Boonkajay et al., Proc. ICICS2015, Singapore, Dec. 2015.
[G] A. D. S. Jayalath et al., IEEE Trans. Wireless Commun., vol.4, no.5, pp.2006-2013,
Sept. 2005.
[K] A. Boonkajay et al., Proc. PIMRC2017, Montreal, Canada, Oct. 2017.
* (complex-conjugate)
FF
T
Eq
ua
lizer
IDF
T
time
time
Original
Phase rotation
pattern estimator
Estimation algorithm :mod
1*
0~ 10
ˆ{ ( )} arg min min ( ) ( )cN
m mm M
n
n n d n
Φ
The m-th phase sequences in codebook
Received signal after IDFT
QAM mapping
The above phase rotation estimation can be done by 2 approaches …
Maximum likelihood (ML) – applying all M possible de-mapping
sequences to search a correct sequence[F,G] high complexity
2-step estimation – using Viterbi algorithm to search an initial estimated
phase sequence, then applying verification to obtain a correct sequence[K]
But … the complexity reduction capability is obvious only when M
is large
A new ML phase rotation sequence estimation will be
introduced to deal with the above problem
Objective
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 9
[L] C. Siegl et al., Proc. SCC2010, Siegen, Germany, Jan. 2010.
Blind SLM structure : ※ Assuming SC uplink transmission, 3 sequences, 4 symbols
* (complex-conjugate)
FF
T
Eq
ua
lizer
IDF
T
time
time
Original
Phase rotation
sequence estimator
Data
0 = {0,0,0,0}
1 = {0,135,135,0}
2 = {135,0,135,0}
Original
time
time
CodebookUser equipment
(UE)
Base station
(BS)
To introduce a low-complexity ML phase rotation sequence
estimation for blind SLM
Objective
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 10
[L] C. Siegl et al., Proc. SCC2010, Siegen, Germany, Jan. 2010.
To introduce a low-complexity ML phase rotation sequence
estimation for blind SLM
Blind SLM structure : ※ Assuming SC uplink transmission, 3 sequences, 4 symbols
* (complex-conjugate)
FF
T
Eq
ua
lizer
IDF
T
time
time
Original
Phase rotation
sequence estimator
Data
0 = {0,0,0,0}
1 = {0,135,135,0}
2 = {135,0,135,0}
Original
time
time
CodebookUser equipment
(UE)
Base station
(BS)
1. Phase rotation is changed from a random
set of {0,120,-120} to {0,135}
• Increase the distance between correct
and incorrect de-mapping[L]
• Same PAPR as conventional SLM
2. Phase rotation sequence estimation is
done based on the fourth-power
constellation
• Number of candidates in minimum
distance searching reduces significantly-4
-2
0
2
4
-4 -2 0 2 4
Real part
Imag
inar
y p
art
: correct de-mapping
: incorrect de-mapping
Furthest distance
Modified blind SLM for SC uplink(Transmitter)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 11
Data
mo
d
SLM algorithm
Phase
rotation
Tx. processing• Band-limiting filter
• STBC coding
• Eigenmode filtering
IFFT
IFFT
+CP
+CP
…
NUE antennasD
FT
……
User equipment (UE)
Info
. b
its
Base station (BS)
CP
CP
FFT
FFT
NBS antennas
Rx. processing• STBC decoding +
MMSE-FDE
• Multiuser MMSE
filtering
Phase rotationsequence estimation
De-mapping
*
Data
de
mo
d
… IDF
T
Estim
ate
d b
its
NUE waveforms
……
Modified blind SLM for SC uplink(Transmitter)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 12
Data
mo
d
SLM algorithm
Phase
rotation
Tx. processing• Band-limiting filter
• STBC coding
• Eigenmode filtering
IFFT
IFFT
+CP
+CP
…
NUE antennasD
FT
……
User equipment (UE)
Info
. b
its
Base station (BS)
CP
CP
FFT
FFT
NBS antennas
Rx. processing• STBC decoding +
MMSE-FDE
• Multiuser MMSE
filtering
Phase rotationsequence estimation
De-mapping
*
Data
de
mo
d
… IDF
T
Estim
ate
d b
its
NUE waveforms
……
SLM algorithm at transmitter : single-user STBC-TD
space{D0(k)} {D1(k)}
{D0(k)}
{D1(k)}
)}({ *
1 kD
)}({ *
0 kD
time
ST
BC
e
nco
der
Only complex-conjugate operations
PAPR of signals before and after STBC coding are the same[I]
Individual phase rotation pattern is selected for {Dj(k)} SLM achieves same performance as SISO
※ Assuming 2 Tx. antennas
Phase rotation selection criterion : 0 1~
ˆ ( ) arg min PAPR { ( ) ( )}m jm M
m j n d n
The m-th phase sequences in codebook Time-domain transmit
signal (before DFT)※ Individual selection for J blocks (j=0J1), hence the index is a function of j
[I] A. Boonkajay et al., Proc. IEEE VTS APWCS2017, Incheon, Korea, Aug. 2017.
Modified blind SLM for SC uplink(Transmitter)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 13
Data
mo
d
SLM algorithm
Phase
rotation
Tx. processing• Band-limiting filter
• STBC coding
• Eigenmode filtering
IFFT
IFFT
+CP
+CP
…
NUE antennasD
FT
……
User equipment (UE)
Info
. b
its
Base station (BS)
CP
CP
FFT
FFT
NBS antennas
Rx. processing• STBC decoding +
MMSE-FDE
• Multiuser MMSE
filtering
Phase rotationsequence estimation
De-mapping
*
Data
de
mo
d
… IDF
T
Estim
ate
d b
its
NUE waveforms
……
SLM algorithm at transmitter : MU-MIMO
[J] A. Boonkajay et al., Proc. IEEE/CIC ICCC2017, Qingdao, China, Oct. 2017.
[M] F. Adachi et al., IEEE Trans. Commun., vol.E100-B, no.8, pp.1190-1204, Aug. 2017.
UE
UE UE
,0~
,0 1 1~
ˆ ( ) arg min max PAPR { ( )}u n mm M n N
m u s n
)()()(2
)( 2/1 kkkT
Ek uuu
s
su DPVS
(NUE1)
Transmit signal(frequency domain)
(NUEG)
Unitary matrix
obtained by SVD[M]
(GG)
MMSE power alloc.
(G1)
Data
streams(frequency domain)
Transmit filtering
Tx. filtering
{S0(k)}{D0(k)}
{DG-1(k)}
{S1(k)}
{SNt-1(k)}(G1)
Data streams(frequency domain)
(NUE1)
Transmit signal(frequency domain)
PAPR of signals before and after Tx. filtering are
different due to matrix multiplication
Minimax criterion is used[J]
Phase rotation selection criterion :
Transmit waveform corresponding to the m-th phase sequences
※ Same phase rotation sequence for G streams (g=0G1) but different for each user,
hence the index is a function of u
※ This selection criterion is also used for OFDM downlink, both STBC-TD and MU-MIMO
Modified blind SLM for SC uplink(Receiver)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 14
Data
mo
d
SLM algorithm
Phase
rotation
Tx. processing• Band-limiting filter
• STBC coding
• Eigenmode filtering
IFFT
IFFT
+CP
+CP
…
NUE antennasD
FT
……
User equipment (UE)
Info
. b
its
Base station (BS)
CP
CP
FFT
FFT
NBS antennas
Rx. processing• STBC decoding +
MMSE-FDE
• Multiuser MMSE
filtering
Phase rotationsequence estimation
De-mapping
*
Data
de
mo
d
… IDF
T
Estim
ate
d b
its
NUE waveforms
……
ML phase rotation sequence estimation at receiver (conventional[F,G])
Applying after STBC decoding or multiuser MMSE filtering
The lowest Euclidean distance correct de-mapping
mod0~
1*
10
ˆ( ) arg min min ( ) ( )cN
m jm M
n
m j n d n
STBC-TD :
MU-MIMO :mod
11*
,1
0 0~0
ˆ( ) arg min min ( ) ( )cNG
m u gm M
g n
m u n d n
The m-th phase sequence in codebook
Received signal after IDFT
QAM mapping※ Equations are the same for both ML and
2-step estimations
-2
-1
0
1
2
-2 -1 0 1 2
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0 = 30 dB
: correct de-mapping
: incorrect de-mapping
[F] A. Boonkajay et al., Proc. ICICS2015, Singapore, Dec. 2015.
[G] A. D. S. Jayalath et al., IEEE Trans. Wireless Commun., vol.4, no.5, pp.2006-2013,
Sept. 2005.
Modified blind SLM for SC uplink(Receiver)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 15
Data
mo
d
SLM algorithm
Phase
rotation
Tx. processing• Band-limiting filter
• STBC coding
• Eigenmode filtering
IFFT
IFFT
+CP
+CP
…
NUE antennasD
FT
……
User equipment (UE)
Info
. b
its
Base station (BS)
CP
CP
FFT
FFT
NBS antennas
Rx. processing• STBC decoding +
MMSE-FDE
• Multiuser MMSE
filtering
Phase rotationsequence estimation
De-mapping
*
Data
de
mo
d
… IDF
T
Estim
ate
d b
its
NUE waveforms
……
ML phase rotation sequence estimation at receiver (conventional[F,G])
mod0~
1*
10
ˆ( ) arg min min ( ) ( )cN
m jm M
n
m j n d n
STBC-TD :
MU-MIMO :mod
11*
,1
0 0~0
ˆ( ) arg min min ( ) ( )cNG
m u gm M
g n
m u n d n
Received signal after IDFT
QAM mapping※ Equations are the same for both ML and
2-step estimations
-2
-1
0
1
2
-2 -1 0 1 2
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0 = 30 dB
: correct de-mapping
: incorrect de-mapping
[F] A. Boonkajay et al., Proc. ICICS2015, Singapore, Dec. 2015.
[G] A. D. S. Jayalath et al., IEEE Trans. Wireless Commun., vol.4, no.5, pp.2006-2013,
Sept. 2005.
Assuming 16QAM, this needs to be done
16 times per one symbol
***High complexity***
Applying after STBC decoding or multiuser MMSE filtering
The lowest Euclidean distance correct de-mapping
The m-th phase sequence in codebook
Modified blind SLM for SC uplink(ML phase sequence estimation)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 16
-4
-2
0
2
4
-4 -2 0 2 4
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0
: correct de-mapping
: incorrect de-mapping
Modifications on phase rotation sequence design and estimation※ No major changes on SLM algorithm, i.e. phase rotation selection at the transmitter
{0,120,-120}, (I+jQ)1
• Conventional blind
SLM[H]
• High complexity required
at Rx.
{0,120,-120}, (I+jQ)4
• No. of QAM mapping
points reduces
(16QAM: 164)
Pros: No. of QAM mapping
points reduce[L]
Cons: Noise enhancement-4
-2
0
2
4
-4 -2 0 2 4
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0
: correct de-mapping
: incorrect de-mapping
[H] A. Boonkajay et al., Proc. VTC 2016-Fall, Montreal, Canada, Sept. 2016.
[L] C. Siegl et al., Proc. SCC2010, Siegen, Germany, Jan. 2010.
Fourth-order
operation
Modified blind SLM for SC uplink(ML phase sequence estimation)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 17
-4
-2
0
2
4
-4 -2 0 2 4
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0
: correct de-mapping
: incorrect de-mapping
Modifications on phase rotation sequence design and estimation※ No major changes on SLM algorithm, i.e. phase rotation selection at the transmitter
{0,120,-120}, (I+jQ)1
• Conventional blind
SLM[H]
• High complexity required
at Rx.
Fourth-order
operation
{0,120,-120}, (I+jQ)4
• No. of QAM mapping
points reduces
(16QAM: 164)
Pros: No. of QAM mapping
points reduce[L]
Cons: Noise enhancement-4
-2
0
2
4
-4 -2 0 2 4
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0
: correct de-mapping
: incorrect de-mapping
[H] A. Boonkajay et al., Proc. VTC 2016-Fall, Montreal, Canada, Sept. 2016.
[L] C. Siegl et al., Proc. SCC2010, Siegen, Germany, Jan. 2010.
Enlarging the distance b/w correct and
incorrect de-mappings
-4
-2
0
2
4
-4 -2 0 2 4Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0
: correct de-mapping
: incorrect de-mapping
{0,135}, (I+jQ)1
• Distance b/w correct and
incorrect de-mappings
becomes larger[L]
{0,135}, (I+jQ)4
• No. of QAM mapping points
reduces (16QAM: 164)
• Distance b/w correct and
incorrect de-mappings
becomes larger-4
-2
0
2
4
-4 -2 0 2 4
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0
: correct de-mapping
: incorrect de-mapping
Fourth-order
operation
Modified blind SLM for SC uplink(Receiver)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 18
Data
mo
d
SLM algorithm
Phase
rotation
Tx. processing• Band-limiting filter
• STBC coding
• Eigenmode filtering
IFFT
IFFT
+CP
+CP
…
NUE antennasD
FT
……
User equipment (UE)
Info
. b
its
Base station (BS)
CP
CP
FFT
FFT
NBS antennas
Rx. processing• STBC decoding +
MMSE-FDE
• Multiuser MMSE
filtering
Phase rotationsequence estimation
De-mapping
*
Data
de
mo
d
… IDF
T
Estim
ate
d b
its
NUE waveforms
……
Modified ML phase rotation sequence estimation at receiver
4mod
1 4*
~0 10
ˆ( ) arg min min ( ) ( )cN
m jm M
n
m j n d n
STBC-TD :
MU-MIMO : 4mod
11 4*
,0 1~
0 0
ˆ( ) arg min min ( ) ( )cNG
m u gm M
g n
m u n d n
The m-th phase sequence in codebook
Received signal after IDFT
Fourth-order mapping-4
-2
0
2
4
-4 -2 0 2 4
Real part
Imag
inar
y p
art
16QAM, 16-path Rayleigh fading
Avg. received Eb/N0
: correct de-mapping
: incorrect de-mapping
Furthest
distance
Applying after STBC decoding or multiuser MMSE filtering
The lowest Euclidean distance correct de-mapping
Performance evaluation
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 19
Simulation parameters
Data transmission
Data modulation 16QAM, 64QAM
No. of subcarriers Nc=128
CP length Ng=16
SLM algorithm
Phase rotation type Random
No. of phase sequences M=1256
Phase rotation estimation method Maximum likelihood
Oversampling factor V=8
User equipmentChannel estimation Ideal
No. of UE antennas NUE=2
Base stationChannel estimation Ideal
No. of BS antennas NBS=4
Channel
Fading Frequency-selective block Rayleigh
Power delay profile Symbol-spaced, 16-path uniform
Maximum Doppler frequency fD 0
Transmit/receive filters pair for SC uplink[M]
STBC-TD : no filter/MMSE-FDE, MU-MIMO : eigenmode/MMSE
※ In MU-MIMO, we assume that U=2 users transmitting G=NUE=2 streams simultaneously
Performance indicators
PAPR0.1% PAPR value at the point that complementary cumulative distribution function (CCDF) equals 0.001
BER assuming no channel coding, no adaptive rank/modulation control (ARMC)
Computational complexity counting the number of real-valued additions
complexity of a real-valued multiplication operation is approximated to be 3 times of a real-valued addition operation[N]
[M] F. Adachi et al., IEEE Trans. Commun., vol.E100-B, no.8, pp.1190-1204, Aug. 2017.
[N] S. Arora and B. Barak, Computational Complexity: A Modern Approach, Cambridge,
2009.
Performance evaluation(PAPR vs complexity)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 20
[H] A. Boonkajay et al., Proc. VTC 2016-Fall, Montreal, Canada, Sept. 2016.
[K] A. Boonkajay et al., Proc. PIMRC2017, Montreal, Canada, Oct. 2017.
16QAM 64QAM
4 5 6 7 8 9 10 11 12
Com
pu
tati
on
al
com
ple
xit
y 107
106
105
104
108
103
PAPR0.1% (dB)
2-step estimation
Conv. blind SLM [K]
ML estimation
Conv. blind SLM [H]
Proposed {0,135}
SC uplink, Nc=128, Ng=16,
16QAM, NBS=4, NUE=2
STBC-TD
MU-MIMO
M=1
M=256
M=16
M=4
M=64
M=1
M=256
M=16
M=4
M=64
4 5 6 7 8 9 10 11 12
Com
pu
tati
on
al
com
ple
xit
y 107
106
105
104
108
103
PAPR0.1% (dB)
2-step estimation
Conv. blind SLM [K]
ML estimation
Conv. blind SLM [H]
Proposed {0,135}
SC uplink, Nc=128, Ng=16,
64QAM, NBS=4, NUE=2
STBC-TD
MU-MIMO
M=1
M=256
M=16
M=4
M=64
M=1
M=256
M=16
M=4
M=64
※ Computational complexity table is available in the manuscript
PAPR reduces when M increases (move from right to left), but the complexity also increases (move from bottom to top)
Conventional blind SLM ({0,120,-120}, (I+jQ)1) with 2-step estimation : complexity reduction capability is obvious when M>64
Proposed ML estimation ({0,135}, (I+jQ)4) …
Same PAPR as conv. blind SLM
Less complexity than conv. ML and 2-step estimation (due to candidates reduction in minimum Euclidean distance searching)
4 5 6 7 8 9 10 11 12
Com
pu
tati
on
al
com
ple
xit
y 107
106
105
104
108
103
PAPR0.1% (dB)
2-step estimation
Conv. blind SLM [K]
ML estimation
Conv. blind SLM [H]
Proposed {0,135}
SC uplink, Nc=128, Ng=16,
16QAM, NBS=4, NUE=2
STBC-TD
MU-MIMO
M=1
M=256
M=16
M=4
M=64
M=1
M=256
M=16
M=4
M=64
4 5 6 7 8 9 10 11 12
Com
pu
tati
on
al
com
ple
xit
y 107
106
105
104
108
103
PAPR0.1% (dB)
2-step estimation
Conv. blind SLM [K]
ML estimation
Conv. blind SLM [H]
Proposed {0,135}
SC uplink, Nc=128, Ng=16,
64QAM, NBS=4, NUE=2
STBC-TD
MU-MIMO
M=1
M=256
M=16
M=4
M=64
M=1
M=256
M=16
M=4
M=64
Performance evaluation(PAPR vs complexity)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 21
[H] A. Boonkajay et al., Proc. VTC 2016-Fall, Montreal, Canada, Sept. 2016.
[K] A. Boonkajay et al., Proc. PIMRC2017, Montreal, Canada, Oct. 2017.
16QAM 64QAM
※ Computational complexity table is available in the manuscript
At a point that achieving PAPR reduction of 3 dB …
16QAM: Computational complexity is reduced to be 35% (38%) of conventional ML estimation for STBC-TD (MU-MIMO)
64QAM: Computational complexity is reduced to be 14% (16%) of conventional ML estimation for STBC-TD (MU-MIMO)
3 dB
3 dB3 dB
3 dB
Performance evaluation(BER, no channel coding)
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 22
[H] A. Boonkajay et al., Proc. VTC 2016-Fall, Montreal, Canada, Sept. 2016.
16QAM 64QAM
Assuming M=64
No significant BER degradation when the average received power is sufficiently high (i.e. Eb/N0>6 dB)
-10 0 10 20
1
10-1
10-2
10-3
10-4
SC uplink, Nc=128, Ng=16,
Rayleigh fading w/ 16-path uniform PDP,
16QAM, ideal CSI,
NBS=4, NUE=2
Average received Eb/N0 (dB)
No SLM
Aver
age
un
cod
edB
ER
Conv. blind SLM [H]
Proposed {0,135}
Blind SLM, M=64
ML estimation
10-5
STBC-TD
MU-MIMO
-10 0 10 20
1
10-1
10-2
10-3
10-4
SC uplink, Nc=128, Ng=16,
Rayleigh fading
w/ 16-path uniform PDP,
64QAM, ideal CSI,
NBS=4, NUE=2
Average received Eb/N0 (dB)
No SLM
Aver
age
un
cod
edB
ER
Conv. blind SLM [H]
Proposed {0,135}
Blind SLM, M=64
ML estimation
10-5
STBC-TD
MU-MIMO
As a result, the use of modified blind SLM is more attractive due to its lower computational complexity at the receiver
Conclusion
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 23
[K] A. Boonkajay et al., Proc. PIMRC2017, Montreal, Canada, Oct. 2017.
A low-complexity ML phase rotation sequence estimation
based on fourth-power constellation was proposed
1. Proposed phase set and ML phase rotation sequence estimation ({0,135}, (I+jQ)4)
Phase rotations {0,135} increases the distance between received symbols with correct and incorrect de-mappings
The use of fourth-order constellation reduces the number of candidates in minimum Euclidean distance calculation, leading to computational complexity reduction
2. Performance evaluation by computer simulation
Computational complexity can be reduced to be 35% (14%) of the conventional ML estimation for 16QAM (64QAM), while achieving a PAPR reduction of 3 dB
No BER degradation when the average received Eb/N0 is sufficiently high
3. Future works
Proposed blind SLM ({0,135}, (I+jQ)4) with 2-step estimation[K]
- Same contribution as ML estimation is expected (i.e., candidates reduction in minimum Euclidean distance searching
ROEC東北大学電気通信研究機構
Research Organization of Electrical Communication
Tohoku University
Thank you for your attention
(Q & A)IEEE 88th Vehicular Technology Conference (VTC2018-Fall)
30 August 2018, Chicago, USA
Amnart Boonkajay Fumiyuki Adachi
Wireless Signal Processing Research Group
Research Organization of Electrical Communication (ROEC), Tohoku University
Acknowledgement:
This work is a part of “The research and development project for realization of the fifth-generation mobile communications system”
commissioned to Tohoku University by The Ministry of Internal Affairs and Communications (MIC), Japan.
Appendix
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 25
Next-gen. communication: 5G[A,B]
30 August 2018 VTC2018-Fall @ Chaicago, USA Page 26
Enhanced
mobile broadband
(eMBB)
Massive
machine-type
commun. (mMTC)
Ultra-reliable
low latency
commun. (URLLC)
100 Mbps
whenever needed
>10 Gbps
peak data rates
10000x
more traffic
ultra
low cost
10-100x
more devices
10 years
on battery
ultra
reliability
<1 ms
latency
Possible techniques to be used in 5G
(form PHY and MAC perspective)
eMBB
Spatial diversity/multiplexing
Massive MIMO beamforming
Distributed antenna system
Millimeter wave communication
5G NR/LTE dual connectivity
mMTC
NOMA, SCMA
D2D, M2M communication
Guard-band utilization (NB-IoT)
Low-power, large coverage transmission
Integration with wireless power transfer
URLLC
Flexible/scalable subframe structure
New channel coding
LDPC
Polar coding
[A] Nokia, 5G new radio network – white paper, Apr. 2018.
[B] Qualcomm, Making 5G NR a Commercial Reality, Dec. 2017.