A Signal Space Diversity-Based TDBC Protocol in Two-Way ... · , Aug. 2015. • SSD [1] is a type...
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A Signal Space Diversity-Based TDBC Protocol in Two-Way Relay Systems
Hamza Umit Sokun Mehmet Cagri Ilter
Halim Yanikomeroglu
Carleton University Canada
{husokun, ilterm, halim}@sce.carleton.ca
Salama Ikki
Lakehead University
Canada [email protected]
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Two-Way Relaying • Interest in terminal relaying (D2D) in 5G standards. • Traditional one-way relay systems enable spatial diversity at the expense of spectral efficiency due to half-duplex transmission.
• Two-way Relaying higher spectral efficiency – Time Division Broadcast Protocol (TDBC) (Using direct link higher reliability) – Best-relay selection
A B
R1
A B
R1
One-way Relaying
Two-way Relaying
1. slot 2. slot
3. slot
RL
RL
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Signal Space Diversity
[1] J. Boutros and E. Viterbo, “Signal space diversity: a power-and-bandwidth-efficient diversity technique for the Rayleigh fading channels,” IEEE Trans. Info. Theory., Jul. 1998. [2] S. A. Ahmadzadeh, S. A. Motahari, A. K. Khandani, “Signal space cooperative communication,” IEEE Trans. Wireless Comm., Apr. 2010. [3] O. Amin, R. Mesleh, S. Ikki, M. Ahmed, and O. Dobre, “Performance analysis of multiple relays cooperative systems with signal space diversity,” IEEE Trans. Veh. Technol., Aug. 2015.
• SSD [1] is a type of diversity that is extracted in the modulation signal space.
• In [2], the idea of SSD is applied to cooperative schemes (with single relay) and the constellation expansion method is proposed.
• Using the constellation expansion method proposed in [2], the
performance of multi-relay cooperative schemes is investigated in [3].
Constellation expansion [2]
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Novelty/Contributions • Two-way relaying + Signal space diversity
Good combination, because two end-sources exchange – Baseline: 2 symbols over 4 time-slots – Proposed: 4 symbols over 3 time-slots
Adapt SSD signaling for two-way relaying (TDBC)
• Obtained E2E error probability for arbitrary 2D constellations (as a
function of SNR), which accounts for all non-uniform rectilinear constellation caused by constellation rotation. This allows – choosing the best rotation angle as a function of SNR. – the joint optimization of rotation angle, and transmit powers of all
nodes.
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System Model (1/4)
First symbol (belongs to the rotated constellation)
Second symbol (belongs to the rotated constellation)
The new constellation point that will be sent from source A (belongs to the expanded constellation),
In the first time slot: In the second time slot:
• Original data symbols are rotated by a certain angle before being transmitted, and then the end-sources and the relay cooperate for transmitting in-phase and quadrature components of two consecutive rotated symbols.
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A B
R1
1. slot 2. slot
RL
A B
R1
RL
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System Model (2/4)
In the third time slot:
Since each node knows their data, the known parts will be removed:
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A B
R1
3. slot
RL
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System Model (3/4) Considering the direct and the cooperative links, the received signals at the end-source B:
To detect the original message, the end-source B reorders the received components:
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A B
R1
RL
1. slot
3. slot
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System Model (4/4) Finally, the end-source B applies ML detector on the reordered signals to detect the end-source messages:
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1.
2.
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Error Rate Performance
where
End-to-End Average SER
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[4] L. Szczecinski, H. Xu, X. Gao, and R. Bettancourt, “Efficient evaluation of BER for arbitrary modulation and signalling in fading channels,” IEEE Trans. Comm., vol. 55, no. 11, pp. 2061–2064, Nov. 2007.
(Difference of the 𝑙-th and 𝑘-th symbols in the expanded constellation)
(Complementary CDF of a bivariate Gaussian variable)
1)
2) 3) 4)
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Simulation Results (1/4)
Fig. 1. SER performance of the proposed TDBC (P-TDBC) in compared to the conventional TDBC (C-TDBC) . (EA =EB =ER =E)
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0 5 10 15 20 25 3010
-5
10-4
10-3
10-2
10-1
100
E / N0 (dB)
7 P B(e
)
C-TDBC with 16-QAM (Simulation)
P-TDBC (θ = 10°) with QPSK (Simulation)
P-TDBC (θ = 15°) with QPSK (Simulation)
P-TDBC (θ = 40°) with QPSK (Simulation)P-TDBC (θopt) with QPSK (Simulation)
Analytical
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Simulation Results (2/4)
Fig. 2. The impact of different rotation angles on the system performance at the different SNR values.
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5 10 15 20 25 30 35 4010
-6
10-5
10-4
10-3
10-2
10-1
100
θ (deg)
7 P B( e
)
θopt= 30.28
θopt= 27.91
θopt= 27.66
θopt= 27.56
θopt= 27.53
θopt= 27.5
θopt= 28.52
E / N0 = 5 dB
E / N0 = 10 dB
E / N0 = 15 dB
E / N0 = 20 dB
E / N0 = 25 dB
E / N0 = 30 dB
E / N0 = 35 dB
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Simulation Results (3/4)
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10 12 14 16 18 20 22 24 26 28 3010
-4
10-3
10-2
10-1
100
ET =N0 (dB)
PA
(e)+
PB
(e)
Rotation angle with fixed power, GAR/GRB=-30 dB
Joint rotation angle and power, GAR/GRB=-30 dB
Rotation angle with fixed power, GAR/GRB=10 dB
Joint rotation angle and power, GAR/GRB=10 dB
Fig. 3. Impact of joint optimization of rotation angle, and transmit powers at all nodes on the system performance. (EA +EB +ER = ET, Emax= 0.8ET)
A B R1
A B R1
GAR/GRB =10 dB
GAR/GRB =-30 dB
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Simulation Results (4/4)
Fig. 4. SER performance of the proposed TDBC (P-TDBC) in compared to the conventional TDBC (C-TDBC) with reactive relay selection, when the number of relays is 3. (EA =EB =ER = ET/3)
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0 5 10 15 20 25 3010
-7
10-6
10-5
10-4
10-3
10-2
10-1
100
ET =N0 (dB)
PB
(e)
Reactive Relay-Selection with Three Relays
C-TDBC with 16-QAM (Simulation)
P-TDBC (θ=10°) with 4-QAM (Simulation)
P-TDBC (θ=15°) with 4-QAM (Simulation)
P-TDBC (θ=20°) with 4-QAM (Simulation)P-TDBC (θopt) with 4-QAM (Simulation)
Analytical
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Summary
• A signal space diversity-based TDBC protocol is proposed. – Higher spectral efficiency, – Higher spatial diversity.
• Error rate performance analysis with arbitrary constellation is obtained.
• Effect of rotation angle is investigated.
• Joint effect of rotation angle and power allocation is shown.
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Future Works
• Imperfect channel estimation
• Impact of coding rate
• Cognitive radio
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Thank you!
This work is supported in part by Huawei Canada Co., Ltd., and in part by the Ontario Ministry of Economic Development and Innovation’s ORF-RE (Ontario Research Fund - Research Excellence) program.
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