Optimal Numerology for 5G Heterogeneous Services
CD-Lab Open day (Module 1 - Nokia)
Ljiljana MarijanovicNovember 15, 2018
Dependable Wireless Connectivity for the Society in Motion
Content
Mixed numerology for 5G
Optimal numerology in single-user case
Optimal numerology in multi-user case
Summary and Future work
Slide 2 / 23
Dependable Wireless Connectivity for the Society in Motion
Content
Mixed numerology for 5G
Optimal numerology in single-user case
Optimal numerology in multi-user case
Summary and Future work
Slide 3 / 23
Dependable Wireless Connectivity for the Society in Motion
Introduction1
I Mixed numerology specified by 3GPPI Numerology assumes the parametrization of the multicarrier modulation
Numerology in 3GPP
Subcarrier
spacing
Symbol
duration
Cyclic pre!x
duration
Slot
duration/size
Subrame
duration/size
Frame
duration/size
Supported transmission numerology
n ∆f Symbol and CP duration Symbols per subframe0 15 kHz 66.67µs / 4.69µs 141 30 kHz 33.33µs / 2.38µs 282 60 kHz 16.67µs / 1.19µs 563 120 kHz 8.33µs / 0.60µs 112
13rd Generation Partnership Project (3GPP),“Technical Specification Group Radio Access Network; NR; Physical channels and modulation“,
December, 2017
Slide 4 / 23
Dependable Wireless Connectivity for the Society in Motion
Introduction1
I Mixed numerology specified by 3GPPI Numerology assumes the parametrization of the multicarrier modulation
Numerology in 3GPP
Subcarrier
spacing
Symbol
duration
Cyclic pre!x
duration
Slot
duration/size
Subrame
duration/size
Frame
duration/size
Supported transmission numerology
n ∆f Symbol and CP duration Symbols per subframe0 15 kHz 66.67µs / 4.69µs 141 30 kHz 33.33µs / 2.38µs 282 60 kHz 16.67µs / 1.19µs 563 120 kHz 8.33µs / 0.60µs 112
13rd Generation Partnership Project (3GPP),“Technical Specification Group Radio Access Network; NR; Physical channels and modulation“,
December, 2017
Slide 4 / 23
Dependable Wireless Connectivity for the Society in Motion
Introduction1
I Mixed numerology specified by 3GPPI Numerology assumes the parametrization of the multicarrier modulation
Numerology in 3GPP
Subcarrier
spacing
Symbol
duration
Cyclic pre!x
duration
Slot
duration/size
Subrame
duration/size
Frame
duration/size
Supported transmission numerology
n ∆f Symbol and CP duration Symbols per subframe0 15 kHz 66.67µs / 4.69µs 141 30 kHz 33.33µs / 2.38µs 282 60 kHz 16.67µs / 1.19µs 563 120 kHz 8.33µs / 0.60µs 112
13rd Generation Partnership Project (3GPP),“Technical Specification Group Radio Access Network; NR; Physical channels and modulation“,
December, 2017
Slide 4 / 23
Dependable Wireless Connectivity for the Society in Motion
Introduction1
I Mixed numerology specified by 3GPPI Numerology assumes the parametrization of the multicarrier modulation
Numerology in 3GPP
Subcarrier
spacing
Symbol
duration
Cyclic pre!x
duration
Slot
duration/size
Subrame
duration/size
Frame
duration/size
Supported transmission numerology
n ∆f Symbol and CP duration Symbols per subframe0 15 kHz 66.67µs / 4.69µs 141 30 kHz 33.33µs / 2.38µs 282 60 kHz 16.67µs / 1.19µs 563 120 kHz 8.33µs / 0.60µs 112
13rd Generation Partnership Project (3GPP),“Technical Specification Group Radio Access Network; NR; Physical channels and modulation“,
December, 2017
Slide 4 / 23
Dependable Wireless Connectivity for the Society in Motion
Why mixed numerology?
I Flexible way to support diverse user requirements
I Service requirementsI URLLCI eMBBI mMTC
I Channel conditionsI Large subcarrier spacings at high velocityI Small subcarrier spacing with large channel delay spread
I Currently we are focused on the Channel conditions.
Slide 5 / 23
Dependable Wireless Connectivity for the Society in Motion
Why mixed numerology?
I Flexible way to support diverse user requirements
I Service requirementsI URLLCI eMBBI mMTC
I Channel conditionsI Large subcarrier spacings at high velocityI Small subcarrier spacing with large channel delay spread
I Currently we are focused on the Channel conditions.
Slide 5 / 23
Dependable Wireless Connectivity for the Society in Motion
Why mixed numerology?
I Flexible way to support diverse user requirements
I Service requirementsI URLLCI eMBBI mMTC
I Channel conditionsI Large subcarrier spacings at high velocityI Small subcarrier spacing with large channel delay spread
I Currently we are focused on the Channel conditions.
Slide 5 / 23
Dependable Wireless Connectivity for the Society in Motion
Why mixed numerology?
I Flexible way to support diverse user requirements
I Service requirementsI URLLCI eMBBI mMTC
I Channel conditionsI Large subcarrier spacings at high velocityI Small subcarrier spacing with large channel delay spread
I Currently we are focused on the Channel conditions.
Slide 5 / 23
Dependable Wireless Connectivity for the Society in Motion
Why mixed numerology?
I Flexible way to support diverse user requirements
I Service requirementsI URLLCI eMBBI mMTC
I Channel conditionsI Large subcarrier spacings at high velocityI Small subcarrier spacing with large channel delay spread
I Currently we are focused on the Channel conditions.
Slide 5 / 23
Dependable Wireless Connectivity for the Society in Motion
Why mixed numerology?
I Flexible way to support diverse user requirements
I Service requirementsI URLLCI eMBBI mMTC
I Channel conditionsI Large subcarrier spacings at high velocityI Small subcarrier spacing with large channel delay spread
I Currently we are focused on the Channel conditions.
Slide 5 / 23
Dependable Wireless Connectivity for the Society in Motion
Why mixed numerology?
I Flexible way to support diverse user requirements
I Service requirementsI URLLCI eMBBI mMTC
I Channel conditionsI Large subcarrier spacings at high velocityI Small subcarrier spacing with large channel delay spread
I Currently we are focused on the Channel conditions.
Slide 5 / 23
Dependable Wireless Connectivity for the Society in Motion
Why mixed numerology?
I Flexible way to support diverse user requirements
I Service requirementsI URLLCI eMBBI mMTC
I Channel conditionsI Large subcarrier spacings at high velocityI Small subcarrier spacing with large channel delay spread
I Currently we are focused on the Channel conditions.
Slide 5 / 23
Dependable Wireless Connectivity for the Society in Motion
Setup
UE1
Δf
Δf2
UE5 UE4
UE1Δf1 UE2 UE3Δf3
Δf4
UE8
UE7
UE6
f
t
B
Slide 6 / 23
Dependable Wireless Connectivity for the Society in Motion
Setup
UE1
Δf
t
f
Δf2
UE5 UE4
UE1Δf1 UE2 UE3Δf3
Δf4
UE8
UE7
UE6
f
t
B
Slide 6 / 23
Dependable Wireless Connectivity for the Society in Motion
Setup
UE1
Δf
t
f
Δf2
UE5 UE4
UE1Δf1 UE2 UE3Δf3
Δf4
UE8
UE7
UE6
f
t
B
Slide 6 / 23
Dependable Wireless Connectivity for the Society in Motion
Setup
UE1
Δf
t
f
Δf2
UE5 UE4
UE1Δf1 UE2 UE3Δf3
Δf4
UE8
UE7
UE6
f
t
B
Slide 6 / 23
Dependable Wireless Connectivity for the Society in Motion
Setup
UE1
Δf
t
f
Δf2
UE5 UE4
UE1Δf1 UE2 UE3Δf3
Δf4
UE8
UE7
UE6
f
t
B
Slide 6 / 23
Dependable Wireless Connectivity for the Society in Motion
Setup
UE1
Δf
t
f
Δf2
UE5 UE4
UE1Δf1 UE2 UE3Δf3
Δf4
UE8
UE7
UE6
f
t
B
Slide 6 / 23
Dependable Wireless Connectivity for the Society in Motion
Setup
UE1
Δf
t
f
Δf2
UE5 UE4
UE1Δf1 UE2 UE3Δf3
Δf4
UE8
UE7
UE6
f
t
B
Slide 6 / 23
Dependable Wireless Connectivity for the Society in Motion
System modelI OFDM transmission of a single user
yk,n = hk,nxk,n + ωk,n
I We perform Least Square (LS) estimation for the transmitted data symbol
hkp,np =ykp,np
xkp,np
hk,n =∑
kp,np∈Pw{kp,np}
k,n hkp,np ,
yk,n - received OFDM symbol at freq-time data positionxk,n - transmitted OFDM symbol at freq-time data positionhk,n - frequency response at freq-time data positionωk,n - AWGN, ICI, ISI, IBI, channel estimation error
hkp,np - estimated channel at pilot position
w{kp,np}k,n - inter/extrapolation weights
Slide 7 / 23
Dependable Wireless Connectivity for the Society in Motion
System modelI OFDM transmission of a single user
yk,n = hk,nxk,n + ωk,n
I We perform Least Square (LS) estimation for the transmitted data symbol
hkp,np =ykp,np
xkp,np
hk,n =∑
kp,np∈Pw{kp,np}
k,n hkp,np ,
yk,n - received OFDM symbol at freq-time data positionxk,n - transmitted OFDM symbol at freq-time data positionhk,n - frequency response at freq-time data positionωk,n - AWGN, ICI, ISI, IBI, channel estimation error
hkp,np - estimated channel at pilot position
w{kp,np}k,n - inter/extrapolation weights
Slide 7 / 23
Dependable Wireless Connectivity for the Society in Motion
Content
Mixed numerology for 5G
Optimal numerology in single-user case
Optimal numerology in multi-user case
Summary and Future work
Slide 8 / 23
Dependable Wireless Connectivity for the Society in Motion
Optimization formulation2
Dt
Df
Dt
Df
Df
Dt
High delay spread &
high Doppler shift
Low delay spread &
low Doppler shift
Pilot resource
maximizeDf ,Dt ,∆f
B(Df ,Dt ) log2(1 + γ(∆f ))
subject to ∆f ∈ 2n15kHzn ∈ {−1,0,1,2,3}
γ =σ2
d
σ2n + (σ2
ICI(∆f ) + σ2e(∆f ))σ2
d
2Lj.Marijanovic, S.Schwarz, M.Rupp “Optimal Numerology in OFDM Systems Based on Imperfect Channel Knowledge”, VTCSpring 2018
Slide 9 / 23
Dependable Wireless Connectivity for the Society in Motion
Optimization formulation2
Dt
Df
Dt
Df
Df
Dt
High delay spread &
high Doppler shift
Low delay spread &
low Doppler shift
Pilot resourcemaximize
Df ,Dt ,∆fB(Df ,Dt ) log2(1 + γ(∆f ))
subject to ∆f ∈ 2n15kHzn ∈ {−1,0,1,2,3}
γ =σ2
d
σ2n + (σ2
ICI(∆f ) + σ2e(∆f ))σ2
d
2Lj.Marijanovic, S.Schwarz, M.Rupp “Optimal Numerology in OFDM Systems Based on Imperfect Channel Knowledge”, VTCSpring 2018
Slide 9 / 23
Dependable Wireless Connectivity for the Society in Motion
Optimization formulation2
Dt
Df
Dt
Df
Df
Dt
High delay spread &
high Doppler shift
Low delay spread &
low Doppler shift
Pilot resourcemaximize
Df ,Dt ,∆fB(Df ,Dt ) log2(1 + γ(∆f ))
subject to ∆f ∈ 2n15kHzn ∈ {−1,0,1,2,3}
γ =σ2
d
σ2n + (σ2
ICI(∆f ) + σ2e(∆f ))σ2
d
2Lj.Marijanovic, S.Schwarz, M.Rupp “Optimal Numerology in OFDM Systems Based on Imperfect Channel Knowledge”, VTCSpring 2018
Slide 9 / 23
Dependable Wireless Connectivity for the Society in Motion
ICI power for different numerology
0 36 72 118 154 180 216 252User velocity [km/h]
10-7
10-6
10-5
10-4
10-3
10-2
10-1
2 ICI
7.5kHz15kHz30kHz60kHz120kHz
Slide 10 / 23
Dependable Wireless Connectivity for the Society in Motion
Parameters used for simulations
Parameters Values
Bandwidth 1.44MHzCarrier frequency 2.5GHz
SNR 30dBModulation coding scheme Adaptive
Channel Model TDL-ADelay spread (Trms) 45ns, 370ns
Slide 11 / 23
Dependable Wireless Connectivity for the Society in Motion
Throughput performances
0 36 72 118 154 190 216
User velocity [km/h]
3
3.5
4
4.5
5
5.5
6
6.5
Th
rou
gh
pu
t [M
bit
/s]
TDL-45ns
7.5kHz
15kHz
30kHz
60kHz
120kHz
Slide 12 / 23
Dependable Wireless Connectivity for the Society in Motion
Throughput performances
0 36 72 118 154 190 216
User velocity [km/h]
3
3.5
4
4.5
5
5.5
6
6.5
Th
rou
gh
pu
t [M
bit
/s]
TDL-45ns
7.5kHz15kHz30kHz60kHz120kHzLTE
Slide 12 / 23
Dependable Wireless Connectivity for the Society in Motion
Throughput performances
0 36 72 118 154 190 216
User velocity [km/h]
3
3.5
4
4.5
5
5.5
6
6.5
Th
rou
gh
pu
t [M
bit
/s]
TDL-45ns
7.5kHz15kHz30kHz60kHz120kHzLTE
0 36 72 118 154 190 216
User velocity [km/h]
3
3.5
4
4.5
5
5.5
6
Th
rou
gh
pu
t [M
bit
/s]
TDL-370ns
7.5kHz15kHz30kHz60kHz120kHz
Slide 12 / 23
Dependable Wireless Connectivity for the Society in Motion
Content
Mixed numerology for 5G
Optimal numerology in single-user case
Optimal numerology in multi-user case
Summary and Future work
Slide 13 / 23
Dependable Wireless Connectivity for the Society in Motion
Interband interference 3
0 10 20 30 40 50 60 70 80Subcarrier index (k)
10-10
10-8
10-6
10-4
10-2
100
2 IBI (
k)
30 kHz60 kHz120 kHz
σ2IBI(k) =
[N−1∑k ′=0
∣∣∣∣sinc(
(k ′ + 1)π
q+
k2∆f
)∣∣∣∣2]
k, k′ - subcarrier indicesN - total number of subcarriers within certainsubbandq ≥ 1 - ratio between two subcarrier spacings
3Ljiljana Marijanovic, Stefan Schwarz, and Markus Rupp, “Intercarrier Interference of Multiple Access UFMC with Flexible Subcarrier Spacings.“,
Proceedings of the 25th European Signal Processing Conference (EUSIPCO), August, 2017.
Slide 14 / 23
Dependable Wireless Connectivity for the Society in Motion
Interband interference 3
0 10 20 30 40 50 60 70 80Subcarrier index (k)
10-10
10-8
10-6
10-4
10-2
100
2 IBI (
k)
30 kHz60 kHz120 kHz
2IBI
max
σ2IBI(k) =
[N−1∑k ′=0
∣∣∣∣sinc(
(k ′ + 1)π
q+
k2∆f
)∣∣∣∣2]
k, k′ - subcarrier indicesN - total number of subcarriers within certainsubbandq ≥ 1 - ratio between two subcarrier spacings
3Ljiljana Marijanovic, Stefan Schwarz, and Markus Rupp, “Intercarrier Interference of Multiple Access UFMC with Flexible Subcarrier Spacings.“,
Proceedings of the 25th European Signal Processing Conference (EUSIPCO), August, 2017.
Slide 14 / 23
Dependable Wireless Connectivity for the Society in Motion
Interband interference 3
0 10 20 30 40 50 60 70 80Subcarrier index (k)
10-10
10-8
10-6
10-4
10-2
100
2 IBI (
k)
30 kHz60 kHz120 kHz
2IBI
max
σ2IBI(k) =
[N−1∑k ′=0
∣∣∣∣sinc(
(k ′ + 1)π
q+
k2∆f
)∣∣∣∣2]
k, k′ - subcarrier indicesN - total number of subcarriers within certainsubbandq ≥ 1 - ratio between two subcarrier spacings
3Ljiljana Marijanovic, Stefan Schwarz, and Markus Rupp, “Intercarrier Interference of Multiple Access UFMC with Flexible Subcarrier Spacings.“,
Proceedings of the 25th European Signal Processing Conference (EUSIPCO), August, 2017.
Slide 14 / 23
Dependable Wireless Connectivity for the Society in Motion
Integer linear problem formulation - IP method 4
γ =σ2
d
σ2n + (σ2
ICI + σ2ISI + σ2
e)σ2d + σ2
IBImax
maximize z
subject to∑∆f
log2(1 + γ∆f ,u)∆N∆f ,u ≥ z, ∆f ∈ S, u ∈ U, z ∈ R
N l∆f ,u ≤ Nh
∆f ,u , ∀u ∈ U, {N l∆f ,u ,Nh
∆f ,u} ∈ N0∑∆f
a∆f ,u = 1,
a∆f ,u ≤ ∆N∆f ,u ≤ Ntotal a∆f ,u , a∆f ,u ∈ {0, 1}
N l∆f ′,u′ − Nh
∆f ,u ≥ G(∆f ,∆f ′)a∆f ,u , ∆f ′ > ∆f , u′ 6= u
N l∆f ,u+1 − Nh
∆f ,u = 0,
∆N∆f ,u = 2(s−1)cs, s ∈ {1, 2, 3, 4}, cs ∈ N0,
4Ljiljana Marijanovic, Stefan Schwarz, and Markus Rupp, “A Novel Optimization Method for Resource Allocation based on Mixed Numerology.“,
International Conference on Communications (ICC) 2019 (submitted)
Slide 15 / 23
Dependable Wireless Connectivity for the Society in Motion
Integer linear problem formulation - IP method 4
γ =σ2
d
σ2n + (σ2
ICI + σ2ISI + σ2
e)σ2d + σ2
IBImax
B
f
t
G(15 kHz, 30 kHz) G(30 kHz, 60 kHz) G(60 kHz, 120 kHz)
s = 1 s = 2 s =3 s =4
NlΔf,2 Nh
Δf,2
maximize z
subject to∑∆f
log2(1 + γ∆f ,u)∆N∆f ,u ≥ z, ∆f ∈ S, u ∈ U, z ∈ R
N l∆f ,u ≤ Nh
∆f ,u , ∀u ∈ U, {N l∆f ,u ,Nh
∆f ,u} ∈ N0∑∆f
a∆f ,u = 1,
a∆f ,u ≤ ∆N∆f ,u ≤ Ntotal a∆f ,u , a∆f ,u ∈ {0, 1}
N l∆f ′,u′ − Nh
∆f ,u ≥ G(∆f ,∆f ′)a∆f ,u , ∆f ′ > ∆f , u′ 6= u
N l∆f ,u+1 − Nh
∆f ,u = 0,
∆N∆f ,u = 2(s−1)cs, s ∈ {1, 2, 3, 4}, cs ∈ N0,
4Ljiljana Marijanovic, Stefan Schwarz, and Markus Rupp, “A Novel Optimization Method for Resource Allocation based on Mixed Numerology.“,
International Conference on Communications (ICC) 2019 (submitted)
Slide 15 / 23
Dependable Wireless Connectivity for the Society in Motion
The other problem formulation approaches
I Linear programming solution - LP method
I Low computational complexity even with large bandwidth and high number of usersI Suboptimal solution
I Heuristic approaches
∆f ≈
√BD
Trms
I Optimal heuristic
I Optimally divide the bandwidth based on IP method.
I Pure heuristic
I Divides the total bandwidth onto the allocated subbands according to the number of users thatare assigned to the subbands.
Slide 16 / 23
Dependable Wireless Connectivity for the Society in Motion
The other problem formulation approaches
I Linear programming solution - LP method
I Low computational complexity even with large bandwidth and high number of usersI Suboptimal solution
I Heuristic approaches
∆f ≈
√BD
Trms
I Optimal heuristic
I Optimally divide the bandwidth based on IP method.
I Pure heuristic
I Divides the total bandwidth onto the allocated subbands according to the number of users thatare assigned to the subbands.
Slide 16 / 23
Dependable Wireless Connectivity for the Society in Motion
The other problem formulation approaches
I Linear programming solution - LP method
I Low computational complexity even with large bandwidth and high number of usersI Suboptimal solution
I Heuristic approaches
∆f ≈
√BD
Trms
I Optimal heuristic
I Optimally divide the bandwidth based on IP method.
I Pure heuristic
I Divides the total bandwidth onto the allocated subbands according to the number of users thatare assigned to the subbands.
Slide 16 / 23
Dependable Wireless Connectivity for the Society in Motion
The other problem formulation approaches
I Linear programming solution - LP method
I Low computational complexity even with large bandwidth and high number of usersI Suboptimal solution
I Heuristic approaches
∆f ≈
√BD
Trms
I Optimal heuristic
I Optimally divide the bandwidth based on IP method.
I Pure heuristic
I Divides the total bandwidth onto the allocated subbands according to the number of users thatare assigned to the subbands.
Slide 16 / 23
Dependable Wireless Connectivity for the Society in Motion
The other problem formulation approaches
I Linear programming solution - LP method
I Low computational complexity even with large bandwidth and high number of usersI Suboptimal solution
I Heuristic approaches
∆f ≈
√BD
Trms
I Optimal heuristic
I Optimally divide the bandwidth based on IP method.
I Pure heuristic
I Divides the total bandwidth onto the allocated subbands according to the number of users thatare assigned to the subbands.
Slide 16 / 23
Dependable Wireless Connectivity for the Society in Motion
The other problem formulation approaches
I Linear programming solution - LP method
I Low computational complexity even with large bandwidth and high number of usersI Suboptimal solution
I Heuristic approaches
∆f ≈
√BD
Trms
I Optimal heuristic
I Optimally divide the bandwidth based on IP method.
I Pure heuristic
I Divides the total bandwidth onto the allocated subbands according to the number of users thatare assigned to the subbands.
Slide 16 / 23
Dependable Wireless Connectivity for the Society in Motion
The other problem formulation approaches
I Linear programming solution - LP method
I Low computational complexity even with large bandwidth and high number of usersI Suboptimal solution
I Heuristic approaches
∆f ≈
√BD
Trms
I Optimal heuristic
I Optimally divide the bandwidth based on IP method.
I Pure heuristic
I Divides the total bandwidth onto the allocated subbands according to the number of users thatare assigned to the subbands.
Slide 16 / 23
Dependable Wireless Connectivity for the Society in Motion
The other problem formulation approaches
I Linear programming solution - LP method
I Low computational complexity even with large bandwidth and high number of usersI Suboptimal solution
I Heuristic approaches
∆f ≈
√BD
Trms
I Optimal heuristic
I Optimally divide the bandwidth based on IP method.
I Pure heuristic
I Divides the total bandwidth onto the allocated subbands according to the number of users thatare assigned to the subbands.
Slide 16 / 23
Dependable Wireless Connectivity for the Society in Motion
Parameters used for numerical results
parameter valuesubcarrier spacing 15 kHz 30 kHz 60 kHz 120 kHznumber of symbols per subframe 14 28 56 128CP duration 4.76µs 2.38µs 1.18µs 0.59µsbandwidth 5 MHzcarrier frequency 5.9 GHzchannel model TDL-Apilot pattern diamondnumber of user 7
Slide 17 / 23
Dependable Wireless Connectivity for the Society in Motion
Numerical results
v = 100 km/h
D1
D2
D3
Trms
[ns]
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
No
rmal
ized
ach
ieva
ble
rat
e
IPLPoptimal heuristicpure heuristicLTE
D1 - {100,200}nsD2 - {30,50,100,200}nsD3 - {30,50,100,200,300,400,500}ns
V1 - {100,200}km/hV2 - {5,50,100,200}km/hV3 - {5,50,100,200,300,400}km/h
Slide 18 / 23
Dependable Wireless Connectivity for the Society in Motion
Numerical results
v = 100 km/h
D1
D2
D3
Trms
[ns]
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
No
rmal
ized
ach
ieva
ble
rat
e
IPLPoptimal heuristicpure heuristicLTE
D1 - {100,200}nsD2 - {30,50,100,200}nsD3 - {30,50,100,200,300,400,500}ns
V1 - {100,200}km/hV2 - {5,50,100,200}km/hV3 - {5,50,100,200,300,400}km/h
Slide 18 / 23
Dependable Wireless Connectivity for the Society in Motion
Numerical results
v = 100 km/h
D1
D2
D3
Trms
[ns]
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
No
rmal
ized
ach
ieva
ble
rat
e
IPLPoptimal heuristicpure heuristicLTE
D1 - {100,200}nsD2 - {30,50,100,200}nsD3 - {30,50,100,200,300,400,500}ns
Trms
= 200 ns
V1
V2
V3
v [km/h]
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
No
rmal
ized
ach
ieva
ble
rat
e
IPLPoptimal heuristicpure heuristicLTE
V1 - {100,200}km/hV2 - {5,50,100,200}km/hV3 - {5,50,100,200,300,400}km/h
Slide 18 / 23
Dependable Wireless Connectivity for the Society in Motion
Numerical results
v = 100 km/h
D1
D2
D3
Trms
[ns]
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
No
rmal
ized
ach
ieva
ble
rat
e
IPLPoptimal heuristicpure heuristicLTE
D1 - {100,200}nsD2 - {30,50,100,200}nsD3 - {30,50,100,200,300,400,500}ns
Trms
= 200 ns
V1
V2
V3
v [km/h]
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
No
rmal
ized
ach
ieva
ble
rat
e
IPLPoptimal heuristicpure heuristicLTE
V1 - {100,200}km/hV2 - {5,50,100,200}km/hV3 - {5,50,100,200,300,400}km/h
Slide 18 / 23
Dependable Wireless Connectivity for the Society in Motion
Content
Mixed numerology for 5G
Optimal numerology in single-user case
Optimal numerology in multi-user case
Summary and Future work
Slide 19 / 23
Dependable Wireless Connectivity for the Society in Motion
Summary
I Large subcarrier spacings are more robust to ICI, but suffer of ISI and large interpolation error with largerms delay spread channels.
I Interband interference occurs due to the different numerology in multi-user scenario.I The LP method provides a highly favorable tradeoff between computational complexity and performance.I We gain with the mixed numerology compared to an LTE.
Slide 20 / 23
Dependable Wireless Connectivity for the Society in Motion
Summary
I Large subcarrier spacings are more robust to ICI, but suffer of ISI and large interpolation error with largerms delay spread channels.
I Interband interference occurs due to the different numerology in multi-user scenario.I The LP method provides a highly favorable tradeoff between computational complexity and performance.I We gain with the mixed numerology compared to an LTE.
Slide 20 / 23
Dependable Wireless Connectivity for the Society in Motion
Summary
I Large subcarrier spacings are more robust to ICI, but suffer of ISI and large interpolation error with largerms delay spread channels.
I Interband interference occurs due to the different numerology in multi-user scenario.I The LP method provides a highly favorable tradeoff between computational complexity and performance.I We gain with the mixed numerology compared to an LTE.
Slide 20 / 23
Dependable Wireless Connectivity for the Society in Motion
Summary
I Large subcarrier spacings are more robust to ICI, but suffer of ISI and large interpolation error with largerms delay spread channels.
I Interband interference occurs due to the different numerology in multi-user scenario.I The LP method provides a highly favorable tradeoff between computational complexity and performance.I We gain with the mixed numerology compared to an LTE.
Slide 20 / 23
Dependable Wireless Connectivity for the Society in Motion
Future work
I Optimal numerology based on QoS requirements - latency, reliability
I Employ the OFDM-based modulation schemes
-20 -10 0 10 20
-80
-60
-40
-20
0
Frequency
PSD[dB]
UFMC
OFDM
I PhD defense - first half of 2020
Slide 21 / 23
Dependable Wireless Connectivity for the Society in Motion
Future work
I Optimal numerology based on QoS requirements - latency, reliability
I Employ the OFDM-based modulation schemes
-20 -10 0 10 20
-80
-60
-40
-20
0
Frequency
PSD[dB]
UFMC
OFDM
I PhD defense - first half of 2020
Slide 21 / 23
Dependable Wireless Connectivity for the Society in Motion
Future work
I Optimal numerology based on QoS requirements - latency, reliability
I Employ the OFDM-based modulation schemes
-20 -10 0 10 20
-80
-60
-40
-20
0
Frequency
PSD[dB]
UFMC
OFDM
I PhD defense - first half of 2020
Slide 21 / 23
Dependable Wireless Connectivity for the Society in Motion
Future work
I Optimal numerology based on QoS requirements - latency, reliability
I Employ the OFDM-based modulation schemes
-20 -10 0 10 20
-80
-60
-40
-20
0
Frequency
PSD[dB]
UFMC
OFDM
I PhD defense - first half of 2020
Slide 21 / 23
Dependable Wireless Connectivity for the Society in Motion
Thank you for your attention!{[email protected]}
Slide 22 / 23