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The 5G Localisation Waveform
Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei ZhangGerman Aerospace Center (DLR)
ETSI Workshop on Future Radio Technologies
27-28 January 2016
Our Goal: Ubiquitous Navigation
Where GPS fails, we likely have dense mobile radio networks!
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 2
Today‘s Mobile Radio Positioning
Propagation Delay Based Positioning
BS2MT3
BS3
BS1
MT2
MT1
„Time Difference of Arrival“ (TDOA) Requires 3 base stations
Propagation Model (BS MT)
Path Loss
Shadow Fading
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 3
What 5G Can Offer for Positioning• Higher FrequenciesConnectivity range decreases But if connected, it‘s LoS
• High Signal BandwidthsHigher ranging accuracy Less vulnerable against multipath propagation
• Device-to-Device (D2D) Communications Additional ranging measurements
• Much more 5G devices than todayHigh number of devices in com rangeNumber of range measurements grows quadratically
# BSMT links: NMT NBS# D2D links (max): NMT (NMT-1)
to solve for
3 NMT unknowns (xm, ym, Tm)
Cramer Rao Lower Bound for ranging
equivalent signal bandwidth
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 4
Cooperative Positioning
BS2MT3
BS3
BS1
MT2
MT1
Centralized, Network Centric• MTs transmit to a central
positioning unit. • Central unit calculates position
solutions for the MTs jointly.
Decentralized, MT Driven• Each MT calculates its own
position based on its ownobservations.
• MTs share their estimates(position and time base offset)
Works even if there are less than 3 base stations hearable!
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 5
Performance EvaluationNon Coop. Positioning Accuracy
• Random distribution of a MT in triangular area between 3 BSs
If the channel is in NLoS:
• Best case (solid lines): Consider as LoS (no NLoS bias)
• Worst case (dashed lines): Not connected
There is a large outage!
dBS
outage probability: 82%
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 6
worst case
best case
Performance ResultsCoop. Positioning Accuracy, Outage Probability
approx. 3000 footballers per km²
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 7
1000 m²
1000 MTs per km² means 1 MT per 1000 m²
worst case
best case
5G Localization WaveformsRanging Error Evaluation
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 8
Cramer-Rao Lower Bound (CRLB)
with squared equivalent bandwidth
Is tight for high SNR and does not account forthe „threshold effect“. Therefore we use the
Ziv-Zakai Lower Bound (ZZLB)
with the localization signal’s autocorrelation function φ(τ) and the Gaussian Q-function
Example:
Synchronization with LTE Primary Synchronization Sequences (PSS),
CRLB is tight for high SNRs Simulation results show threshold effect
5G Localization WaveformsTriangular Waveform
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 9
Power Spectrum Density
Autocorrelation
• ZZLB accounts for “threshold effect” ZZLB and CRLB diverge
• α = 1 provides the optimum
Ranging Error Performance
5G Localization WaveformsDircac-Rectangular Waveform
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 10
Power Spectrum Density Ranging Error Performance
Autocorrelation
• Provides maximum squared equivalent bandwidth β2 = B2/4 for γ = 1.
• Optimum γ for different SNR ranges
5G Localization WaveformsDolph-Chebyshev Waveform
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 11
Power Spectrum Density Ranging Error Performance
Autocorrelation
• Parameter a controls ACF sidelobeattenuation
• Optimum a for different SNR ranges
5G envisages properties which are beneficial for cooperative positioning• D2D, M2M communication is the big step for positioning• Our example: 1000…1500 Devices per km² provide sub-meter accuracy
5G localisation waveform design for optimal ranging/positioning performance• Power spectrum density form determines ranging performance• Higher (equivalent) signal bandwidth better performance at high SNRs• Take care about threshold effect choose appropriate sidelobe suppression
5G Positioning?
Yes, 5G can!With promising positioning performance achieved by
optimized localisation waveforms & cooperative positioning
Conclusion
> The 5G Localisation Waveform > Ronald Raulefs, Armin Dammann, Thomas Jost, Michael Walter, Siwei Zhang > 27-28 January 2016DLR.de • Chart 12