Positioning with 5G mmWave Massi sive-MIMO Systems Henk Wymeersch - - PowerPoint PPT Presentation
Positioning with 5G mmWave Massi sive-MIMO Systems Henk Wymeersch - - PowerPoint PPT Presentation
Positioning with 5G mmWave Massi sive-MIMO Systems Henk Wymeersch Gonzalo Seco-Granados Department of Electrical Engineering Department of Telecommunications Chalmers University of Technology Universitat Autonoma de Barcelona Gothenburg,
Main idea a of radio-base ased posi sitioning
- Waveform conveys information about geometry
- Different measurements can be taken
– Signal strength: path loss vs fingerprinting – Time: TOA, TDOA, RTT – Angle: AOA, AOD – Frequency (Doppler): FOA
- Main resources: delay resolution (bandwidth
th), angle resolution (ante tenna elements ts), frequency resolution (time), interference mitigation (SNR)
2 Summer School on 5G V2X Communications, June 11th, 2018
Outline
- 5G positioning: 5 selling points
- 5G positioning: performance bounds
- 5G positioning: algorithms
- Conclusions
- References
3 Summer School on 5G V2X Communications, June 11th, 2018
Radio-base sed positioning
4
accuracy cost 100m 10m 1m 1 cm 10 cm ?? 5G potential 3G 4G GPS UWB WiFi uplink TDOA downlink TOA 2G Uplink Cell ID fingerprinting Two-way ranging and uplink TDOA
Summer School on 5G V2X Communications, June 11th, 2018
Radio-base sed positioning
5 Summer School on 5G V2X Communications, June 11th, 2018
What do we mean by 5G?
6
Large antenna arrays Directional transmission Large bandwidths Higher carrier frequencies Device-to-device communication Network densification
image: Qualcomm image: Ericsson image: University
- f Bristol
image: YouTube
Summer School on 5G V2X Communications, June 11th, 2018
5 Selling points s for 5G positioning
1. High carrier frequencies 2. Large bandwidths 3. Large number of antennas 4. D2D communication 5. Network densification
7
5G
Summer School on 5G V2X Communications, June 11th, 2018
High carrier er frequenc encies es
- Received power due to path loss, shadowing, multipath fading
- Path loss: countered by array gains
- Shadowing: severe penetration loss so no shadowing
- Multipath fading: no diffraction, limited scattering and little reflection
- Communication channel is dominated by LOS and a few location-
dependent clusters
8
Sparse communication channel, related to the physical environment
Below 6 GHz: full matrix (i.i.d., Gaussian) Above 28 GHz: low-rank matrix Each “effective path” corresponds to cluster
Summer School on 5G V2X Communications, June 11th, 2018
Large e bandwidths
1. From Fisher information: large bandwidth leads to better delay (distance) estimation accuracy 2. More resolvable multipath components: two paths are resolvable when
9
High degree of resolvability of multipath
Meissner, Paul, et al. "Accurate and robust indoor localization systems using ultra- wideband signals." arXiv preprint arXiv:1304.7928 (2013).
2 GHz bandwidth
30 meter
Summer School on 5G V2X Communications, June 11th, 2018
Large e number er of antenn ennas as
- From Fisher information
– Large number of RX antennas: better AOA resolvability – Large number of TX antennas: smaller beamwidth, better AOD resolvability
10
High degree of resolvability of angles
Summer School on 5G V2X Communications, June 11th, 2018
D2D communicat ation
- 5G will have sidelinks
- Measurements between devices
- Can improve location accuracy and coverage
11
Cooperative positioning based on D2D measurements
Wymeersch, Henk, Jaime Lien, and Moe Z. Win. "Cooperative localization in wireless networks." Proceedings of the IEEE 97.2 (2009): 427-450.
Error [m] CCDF
Summer School on 5G V2X Communications, June 11th, 2018
Network densi sificat ation
- Many access nodes, which could be location references
- High chance of LOS at short distances
- LOS link most useful for positioning
12 http://www.5gworkshops.com/5G_Channel_Mod el_for_bands_up_to100_GHz(2015-12-6).pdf
LOS link generally available for positioning
Summer School on 5G V2X Communications, June 11th, 2018
Outline
- 5G positioning: 5 selling points
- 5G positioning: performance bounds
- 5G positioning: algorithms
- Conclusions
- References
13 Summer School on 5G V2X Communications, June 11th, 2018
5G mmWave positioning: model with L clust sters
14
Estimate position (and orientation) in the presence of unknown scatterer locations Limited number of RF
- chains. Precoding matrix F
and combining matrix W.
Summer School on 5G V2X Communications, June 11th, 2018
Some e geomet etric intuition
- Abstraction
- Downlink
- Known BS position
- Consider downlink
transmission.
15
AOD = direction from BS TOA = range from BS estimate position
- rientation
AOA, AOD no yes AOA, TOA no* no AOD,TOA yes no AOA,AOD,TOA yes yes
*unless orientation is known
Summer School on 5G V2X Communications, June 11th, 2018
Performanc ance bounds
- Received waveform
- Channel parameters and location parameters
- Virtual anchors have no physical meaning for scatterers
- Parametrization can also be in terms of scatterers and points of incidence
16 Summer School on 5G V2X Communications, June 11th, 2018
Fisher er informat ation matrix of chan annel el param amet eter ers
- Unknown parameter
- Noise-free observation
- FIM has entries
17
This part was available in delay domain 7L real parameters L
Summer School on 5G V2X Communications, June 11th, 2018
Fisher er informat ation matrix of chan annel el param amet eter ers
- Each sub-block (e.g.,
, ) is Hadamard product
- Conclusion: each sub-block will be almost diagonal
18
Receiver component Transmitter component Signal & gain component ⦿ ⦿
Tends to diagonal when paths have distinct AOA (for large number of receive antenna) Tends to diagonal when paths have distinct delays (for large signal bandwidth) Tends to diagonal when paths have distinct AOD (for large number of transmit antennas), under full MIMO
Summer School on 5G V2X Communications, June 11th, 2018
Fisher er informat ation matrix of chan annel el param amet eter ers
- Original FIM
- Rearrange parameters
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Each path provides independent information
Summer School on 5G V2X Communications, June 11th, 2018
Fisher er informat ation matrix in position space
- Remove channel amplitude with Schur complement
- Introduce parameter of interest
- Determine FIM
- Compute EFIM
- f position and orientation
- From EFIM we compute PEB and OEB
- EFIM can be expressed as sum over the paths
20
invert FIM can be nonsingular (Potential for SLAM) invert
Summer School on 5G V2X Communications, June 11th, 2018
Uplink vs downlink
Downlink Beam in known direction FIM in channel space Position relates to delay, AOD FIM in location space Leads to different scaling: Uplink Beam in unknown direction FIM in channel space Position relates to delay, AOA FIM in location space
21
Same Different!
Unknown
- rientation
Unknown
- rientation
Summer School on 5G V2X Communications, June 11th, 2018
Results
- 3D scenario (unknown [position, azimuth, elevation])
- 12 x 12 arrays at TX and RX
- 38 GHz carrier, 125 MHz bandwidth (beam squint ignored)
- 1 mW transmit power, 16 training symbols
- Single path and 4 path channel
- No combining (W = I)
22
- Z. Abu-Shaban, Xiangyun Zhou, T. Abhayapala, G. Seco-Granados, H. Wymeersch, "Error Bounds for Uplink and
Downlink 3D Localization in 5G mmWave Systems", IEEE Transactions on Wireless Communications, May 2018.
downlink uplink
Summer School on 5G V2X Communications, June 11th, 2018
Single e path (LOS) with 6 beam ams
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Position error bound [m] Orientation error bound [deg]
Summer School on 5G V2X Communications, June 11th, 2018
- Beam centers marked with black circles.
Four paths s (including LOS) with 6 beam ams
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Scatterer locations Position error bound [m] Orientation error bound [deg]
Summer School on 5G V2X Communications, June 11th, 2018
0.05 0.1 0.15 0.2 0.25 0.3 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
Indep epend endent path assu sumption
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Uplinks s vs downlink: : PEB (delay ay + AOD (DL) or AOA (UL) L))
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Uplinks s vs downlink: : OEB (AOA and AOD)
27 Summer School on 5G V2X Communications, June 11th, 2018
Impac act of more e recei eive e antenn ennas: as: PEB
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Uplink sensitive to orientation UL positioning takes advantage of AOA with number of receive antennas
Summer School on 5G V2X Communications, June 11th, 2018
DL is better UL is better Rx gain increases, but not the spatial diversity for the AOD.
𝑂𝑈 = 144
Impac act of more e transm smit antenn ennas as (fixed ed number of beam ams) s)
29
More TX antennas: more beamforming gain, more AOD accuracy Many TX antennas: too narrow beams, miss the BS More TX antennas: but PEB depends on AOA, only the additional transmit gain is exploited. In the UL, it does not matter if you don’t have many antennas at the User Device.
Summer School on 5G V2X Communications, June 11th, 2018
𝑂𝑆 = 144
Impac act of number er of BS beam ams
30
Poor coverage Saturation: more beams, each with lower power More TX antennas needs more beams for full coverage
Summer School on 5G V2X Communications, June 11th, 2018
Downlink transmission is assumed.
Single-base ase station local alizat ation: : clock offset set
31
- Most existing studies ignore the tx-rx synchronization
- The existence features in the environment permits the clock
ck synch chronization using on one-wa way tra ransmissions.
80 1 60 2 40
x
3 20
z
4
y
- 20
- 10
10 20 30
- 20
40 5 50 60 70 80 6
©
x UE x BS
↵ UE
x VA ,1 x VA ,2 x VA ,3 x VA ,4
↵ ehicle’
−
↵
−
✓ φ − ⌧ ⌧ ✓ φ ⌧ ✓ φ − ⇠ ⌃ ⌃
refine
−
↵ fill ficient
fil modification.
Summer School on 5G V2X Communications, June 11th, 2018
Single-base ase station local alitzat ation: : clock offset set
32
- Bias estimation accuracy
2 4 6 8 10 12 14 10-2 10-1 100 101 102
- When LOS is present, 1
NLOS is needed.
- When LOS is absent, 3
NLOS are needed (or 2 if map information is available).
- TOA estimation: 0.1 m st.dev.
- Angle estimation: 0.01 rad
st.dev.
Single-base ase station local alizat ation: : clock offset set
33
- Second alternative: use two-way transmissions
Summer School on 5G V2X Communications, June 11th, 2018
Single-base se station mapping: : clock offse set
34 Summer School on 5G V2X Communications, June 11th, 2018
Centralized Localization Protocol (CLP) Distributed Localization Protocol (DLP)
Single-base se station mapping: : clock offse set
35 Summer School on 5G V2X Communications, June 11th, 2018
- Z. Abu-Shaban, H. Wymeersch,
- T. Abhayapala, G. Seco-
Granados, “Single-Anchor Two- Way Localization Bounds for 5G mmWave Systems: Two Protocols”, arXiv:1805.02319.
CDF of PEB with UE orientation angles of 0, and NUE = NBS =144 antennas, NB = 25 beams.
Single-base ase station mapping: : clock offset set
36
- UE and BS have a
12x12 array.
- 25 beams in both
links providing SNR>17dB is 90% of locations.
- f=38 GHz
- Z. Abu-Shaban, H.
Wymeersch, T. Abhayapala,
- G. Seco-Granados, “Single-
Anchor Two-Way Localization Bounds for 5G mmWave Systems: Two Protocols”, arXiv:1805.02319.
Summer School on 5G V2X Communications, June 11th, 2018
Outline
- 5G positioning: 5 selling points
- 5G positioning: performance bounds
- 5G positioning: algorithms
- Conclusions
- References
37 Summer School on 5G V2X Communications, June 11th, 2018
Algorithms
- Observation model
- We want to estimate TOA, AOA, AOD and L
- We know that each path provides independent information
- Use sparsity to extract channel parameters
- Idea:
- Same for transmitter side
- So
38
Nr x Dr Dr x 1 Each column in Ur is the response to a possible angle 1-sparse if (i) true angle is in dictionary and (ii) all columns are orthogonal If dictionary is well chosen: 1-sparse matrix with row = AOA, column = AOD L-sparse
Summer School on 5G V2X Communications, June 11th, 2018
Choosi sing a good dictionar ary
- For ULA
- When angles take on value
- DFT matrix is a reasonable dictionary
39
Exactly on a DFT angle
Summer School on 5G V2X Communications, June 11th, 2018
- In practice: angles not exactly
- n the DFT grid:
approximately sparse
- Example: 64 antennas
Channel el estimat ation algorithm
- OFDM signal on subcarrier k:
- Vectorize
- Introduce
- We can recover AOA / AOD by solving
- Can be solved with OMP
- Then recover gains (closed form) and delays (line search per path)
- Refine by adapting dictionary or post-processing (e.g., SAGE)
40
Ideally L sparse with entries For DFT dictionary: size Nr x Nt Try to find sparse vectors with common support
Summer School on 5G V2X Communications, June 11th, 2018
From angles es & delays ays to positions
- We have estimates of
- Use transformation to
- Apply Extended Invariance Principle (EXIP) and solve the
following non-linear least square problem
41
BS user BS user
Summer School on 5G V2X Communications, June 11th, 2018
minimize
𝜽 ෝ
𝜽− 𝜽 𝜽
𝐗 2
Initialize by
1. When LOS path exists: use (AOD,delay) of path with shortest delay to recover position, then (AOD,AOA) to recover orientation. Then virtual anchors (or scatterer locations) are easily recovered path by path. 2. When LOS path does not exist: try all possible
- rientations: each (AOD,AOA,delay) gives rise to a
- path. Intersection of two paths is position. Evaluate
cost for each guess. 3 paths are needed in total. 3. When not know if LOS exists: try (1) and (2) and evaluate cost.
Results: s: 4 path chann annel el (including LOS)
42
−30 −25 −20 −15 −10 −5 5 10 10
−6
10
−4
10
−2
10 10
2
−30 −25 −20 −15 −10 −5 5 10 10
−4
10
−2
10 10
2
SNR (in dB) SNR (in dB) REB PEB RMSE( ˆ α) [rad] RMSE(ˆ p) [m] RMSE( ˆ α) RMSE(ˆ p)
τ τ θ θ θ τ τ θ ∈ τ τ ∈ τ τ π
− π τ − τ
θ θ θ θ θ θ fi π λ θ − θ θ θ θ θ θ efi θ θ θ θ θ θ θ θ θ θ θ θ
OEB PEB
- A. Shahmansoori, G.E. Garcia, G. Destino, G. Seco-Granados, H. Wymeersch
“Position and Orientation Estimation through Millimeter Wave MIMO in 5G Systems”, IEEE Transactions on Wireless Communications, vol. 17, no. 3, pp. 1822-1835, Mar 2018.
Results: 3 path channel without LOS
43
−30 −25 −20 −15 −10 −5 5 10 10
−2
10
−1
10 10
1
−30 −25 −20 −15 −10 −5 5 10 10
−1
10 10
1
10
2
10
3
SNR (in dB) SNR (in dB)
REB PEB
RMSE(ˆ α) [rad] RMSE(ˆ p) [m]
RMSE( ˆ α), ∆ α [rad] = 0.01 RMSE( ˆ α), ∆ α [rad] = 0.05 RMSE(ˆ p), ∆ α [rad] = 0.01 RMSE(ˆ p), ∆ α [rad] = 0.05 − ∆ α
fic Ψ τ ˜ ℜ ˜ ∗ θ θ τ τ θ θ ℜ −˜ ∗ θ θ τ τ θ θ Ψ θ ˜ ℜ ˜ ∗ θ θ τ τ θ θ ℜ ˜ ∗ θ θ τ τ θ θ Ψ θ ˜ − ℜ ˜ ∗ θ θ τ τ θ θ ℜ ˜ ∗ θ θ τ τ θ θ
OEB PEB
- A. Shahmansoori, G.E. Garcia, G. Destino, G. Seco-Granados, H. Wymeersch
“Position and Orientation Estimation through Millimeter Wave MIMO in 5G Systems”, IEEE Transactions on Wireless Communications, vol. 17, no. 3, pp. 1822-1835, Mar 2018. Summer School on 5G V2X Communications, June 11th, 2018
From angles es & delays ays to positions: s: Bayesi esian an approac ach
44 Summer School on 5G V2X Communications, June 11th, 2018
- Perform belief propagation
- Needs schedule
- Allows the introduction of prior
information
- Facilitates tracking and
hybridization with other sensors
ficiently find ’ − − reflecting p(x UE, ↵UE, B, x VA ,1, . . . , x VA ,L − 1|Z) = p(x UE)p(↵UE)p(B)
L − 1
Y
l= 1
p(xVA ,l ) ⇥p(z0|xUE, ↵UE, B)
L − 1
Y
l= 1
p(zl |xUE, ↵UE, x VA ,l , B). ⌃ µ µ µ
φ
µ µ
⌧
µ
⌧
µ µ
⌧
⇥
⌧
⇠ ⇠
⌧
µ
⌧
µ
⌧
⌧
µ
⌧
µ
⌧
⇥µ
⌧
⌧
⇠ ficient –
modification, ⌃
- Factor graph. The objective is to obtain the posterior distribution of
the position parameters given the channel parameters.
From angles es & delays ays to positions: s: Associat ation
45 Summer School on 5G V2X Communications, June 11th, 2018
- We choose to separate positioning and simple DA, no clutter
- M VAs, L paths
- For each path l: existing VA m or potential new VA
- Create L x (M + L+1) matrix S, small constant a
- Find optimal association via Munkres algorithm
- Only use reliable associations for positioning
p(z1|LOS) p(z1|VA1) a a p(z2|LOS) p(z2|VA1) a a Path 1 Path 2 VA1 New VA New VA LOS
Single-base ase station posi sitioning
46 Summer School on 5G V2X Communications, June 11th, 2018
- R. M. Buehrer, H. Wymeersch and R.
- M. Vaghefi, "Collaborative Sensor
Network Localization: Algorithms and Practical Issues," in Proceedings of the IEEE, vol. 106, no. 6, pp. 1089- 1114, June 2018. 10-1 100 101 102 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Multipath helps! Maps help! LOS is good, but not needed Beamforming helps in the beams
Single-base ase station mapping
47
- R. M. Buehrer, H. Wymeersch and R.
- M. Vaghefi, "Collaborative Sensor
Network Localization: Algorithms and Practical Issues," in Proceedings of the IEEE, vol. 106, no. 6, pp. 1089- 1114, June 2018. 100 101 102 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
LOS is good, but not needed Location helps a little Loss if scatterers are not in beams
Complet ete e flowchar art
48 Summer School on 5G V2X Communications, June 11th, 2018
Data communication PRS / SRS design Channel estimation Data association Positioning and mapping Mobility Position information Position information Channel information Downlink/uplink communication
- PRS design: beamformers and signal’s
design.
– Trade-off between accuracy and coverage – Trade-off between com and loc.
- Extend the position and mapping to more
complex environment: clutter,
Outline
- 5G positioning: 5 selling points
- 5G positioning: performance bounds
- 5G positioning: algorithms
- Conclusions
- References
49 Summer School on 5G V2X Communications, June 11th, 2018
Conclusions
- Radio signals have always provides location information
- 5G has important advantages for localization
- Improved resolvability in time, angle for
– Single anchor localization, tracking – Single anchor mapping – SLAM – Location-aided communication – Radar
50
5G
Summer School on 5G V2X Communications, June 11th, 2018
Challenges
- Good geometric mmWave channel models for
positioning, including blockage
- Database of location-based channel measurements
- Design of precoding and combining for positioning,
mapping
- Pilot design for positioning, mapping
- Fast algorithms for positioning, tracking, mapping
- Online synchronization for positioning
- Multi-user positioning, resource allocation for MU
positioning
- Using position information for communication
(Location-aided communications)
- Calibration of references (location, time)
- Practical demonstration
51
5G
Summer School on 5G V2X Communications, June 11th, 2018
Outline
- 5G positioning: 5 selling points
- 5G positioning: performance bounds
- 5G positioning: algorithms
- Conclusions
- References
52 Summer School on 5G V2X Communications, June 11th, 2018
References
Basics of radio-based positioning
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York (2008). 5G properties for positioning
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Vehicular Networks”, IEEE Wireless Communication Magazine, vol. 24, no. 6, pp. 80-86, Dec 2017.
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array localization. IEEE Transactions on Information Theory, 62(2), 1054-1075. 53 Summer School on 5G V2X Communications, June 11th, 2018
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Single anchor positioning
- Li, Ji, Jean Conan, and Samuel Pierre. "Mobile terminal location for MIMO communication systems." IEEE
Transactions on Antennas and Propagation 55.8 (2007): 2417-2420. Cm Cm-wave 5G G positioning
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References
Mm Mm-wave positioning in delay and angle domain
- Z. Abu-Shaban, H. Wymeersch, T. Abhayapala, G. Seco-Granados, “Single-Anchor Two-Way Localization
Bounds for 5G mmWave Systems: Two Protocols”, arXiv:1805.02319.
- Z. Abu-Shaban, Xiangyun Zhou, T. Abhayapala, G. Seco-Granados, H. Wymeersch, "Error Bounds for Uplink
and Downlink 3D Localization in 5G mmWave Systems", IEEE Transactions on Wireless Communications, May 2018.
- A. Shahmansoori, G. E. García, G. Destino, G. Seco-Granados, H. Wymeersch, "Position and Orientation
Estimation through Millimeter Wave MIMO in 5G Systems", IEEE Transactions on Wireless Communications,
- vol. 17, no. 3, pp. 1822-1835, Mar 2018.
- A. Guerra,F. Guidi, D. Dardari. "Single anchor localization and orientation performance limits using massive
arrays: MIMO vs. beamforming." IEEE Transactions on Wireless Communications, May 2018.
- H. Wymeersch, N. Garcia, Hyowon Kim, G. Seco-Granados, Sunwoo Kim, Fuxi Wen, Markus Frohle, “5G
mmWave Downlink Vehicular Positioning”, submitted to IEEE Globecom, 2018.
- Z. Lin, T. Lv and P. T. Mathiopoulos, "3-D Indoor Positioning for Millimeter-Wave Massive MIMO Systems," IEEE
Transactions on Communications, 2018.
- D. Wang, M. Fattouche and X. Zhan, "Pursuance of mm-Level Accuracy: Ranging and Positioning in mmWave
Systems," IEEE Systems Journal, 2018.
- M. Ruble, I. Güvenç, “Wireless Localization for mmWave Networks in Urban Environments”, arXiv:1805.11208.
- Y. Wang, Y. Wu and Y. Shen, "Multipath Effect Mitigation by Joint Spatiotemporal Separation in Large-Scale
Array Localization," IEEE GLOBECOM 2017. 55 Summer School on 5G V2X Communications, June 11th, 2018