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Mitigating Macro-cell Outage in LTE-Advanced Deployments
Rajarajan Sivaraj, PhD Candidate, UC Davis, CA (Presenter) Ioannis Broustis, AT&T Labs Research, NJ N. K. Shankaranarayanan, AT&T Labs Research, NJ Vaneet Aggarwal, Purdue University, IN Prasant Mohapatra, UC Davis, CA , , Website : 1
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AGENDA OF THE PRESENTATION
CONCEPTS, DEFINITIONS AND SYSTEM MODEL OUTAGE AND ISSUES PROBLEM FORMULATION AND HARDNESS APPROXIMATIONS, RELAXATIONS AND SOLUTION PERFORMANCE EVALUATION CONCLUSION 2
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DIRECTIONAL eNBs WITH CA AND CELL-SECTORS
f1 f2 eNB with directional antennae – Covers a CC-specific cell sector Typically, 3 sectors per cell – Angular orientations of 00 , 1200 , 2400 Carrier Aggregation – An eNB operates on more than one CC, non-adjacent frequency bands (f1 and f2), serving more than one cell
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2D-BEAMFORMING Signal processing technique for directional signal transmission or reception Combining elements in a phased array for constructive interference of signals. Achieves spatial selectivity by steering beams at transmit and receive ends. Parameters : Beamwidth, Horizontal gain, Angular orientation Causes inter-cell interference along the cell-edges
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MULTI-USER MIMO-OFDMA BEAMFORMING
EQUAL POWER SPECTRAL DENSITY 5
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RECEIVED SIGNAL Received signal on UE k at PRB b Transmit Beamformer
Transmitted Data symbol from eNB m Receive combiner Channel gain matrix Gaussian noise
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AGENDA OF THE PRESENTATION
CONCEPTS, DEFINITIONS AND SYSTEM MODEL OUTAGE AND ISSUES PROBLEM FORMULATION AND HARDNESS APPROXIMATIONS, RELAXATIONS AND SOLUTION PERFORMANCE EVALUATION CONCLUSION 7
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DEFINITION OF OUTAGE Application Server EPC MME S/P-GW eNB outage eNB eNB eNB UE UE UE UE UE UE UE UE UE UE Interruption in the coverage and service of an LTE eNB to associated UEs (based on highest received signal strength) by: Unplanned failure - bad weather event, power loss, software/hardware failure. Planned / Scheduled maintenance - software/hardware changes eNB Transmitter/antenna damage, backbone link cut-off etc.
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USER RE-ASSOCIATION Application Server EPC MME S/P-GW eNB eNB outage eNB eNB UE UE UE UE UE UE UE UE UE UE UE UE UE UE User re-association Re-association to neighboring eNB cell sectors depending on network planning and resource availability
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ISSUES IN USER RE-ASSOCIATION
Poor received signal strength for re-associated UEs from neighboring eNBs Residual resource exhaustion at neighboring eNBs (as eNBs are operating at full resource capacity on current traffic load) eNB outage RESOURCE EXHAUSTION
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ADDRESSING RE-ASSOCIATION ISSUES
Configurable parameters to address user re-association issues: eNB Transmission power – To increase received signal strength Precoding/Beamforming weights – Steering the direction of signal transmission eNB outage Transmission Power RESOURCE EXHAUSTION H. Dahrouj and Y. Wu, “Coordinated beamforming for the multi-cell multi-antenna Wireless systems”, IEEE Trans. Wireless Communications, vol. 9, no. 4, May 2010
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CHALLENGES Link stability for re-associated UEs
Meeting QoS requirements of re-associated UEs Providing service for re-associated UEs without affecting the rest eNB outage Transmission Power RESOURCE EXHAUSTION 12
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CONTRIBUTIONS Online Outage Mitigation Framework
Closed-loop Service Quality Management Imperfect channel knowledge of UEs, Statistical distribution of CSI, at the eNBs DESIGN : LTE-A outage mitigation framework with CA and 2D/3D Beamforming SERVICE MODEL : Channel- and traffic-aware OPTIMIZATION : Relaxation via Convex Optimization. Maximizes effective network coverage with higher link stability and QoS guarantees EVALUATION : Simulations of our reconfiguration procedure using NS3 13
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OUTAGE AND MITIGATION - ILLUSTRATION
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SYSTEM MODEL LTE-A Single Frequency network supporting MIMO-OFDM, Carrier Aggregation and 2D/3D multi-cell beamforming 15
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AGENDA OF THE PRESENTATION
CONCEPTS, DEFINITIONS AND SYSTEM MODEL OUTAGE AND ISSUES PROBLEM FORMULATION AND HARDNESS APPROXIMATIONS, RELAXATIONS AND SOLUTION PERFORMANCE EVALUATION CONCLUSION 16
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OPTIMAL MITIGATION STRATEGY
OPTIMIZATION PARAMETERS AT THE BASE STATIONS Per CC Transmission Power Maximize Per PRB Unit-norm Beamforming Vector Minimize OBJECTIVE : Minmax product of per PRB unit-norm beamforming vector and per CC transmission power at each serving eNB 17
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OPTIMAL MITIGATION STRATEGY
Upper-bound on per CC transmission power Unit norm of the beamforming vector Per-RB SINR of any associated/re-associated UE is greater than threshold Sum of PRBs from any CC allocated to each associated/re-associated UE to the eNB for satisfying QoS is upper-bounded by the bandwidth of the CC Integrality in the allocation of PRBs to UEs CONSTRAINTS 18
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NP HARDNESS FOR CCASSIGNMENT
GENERALIZED ASSIGNMENT PROBLEM : NP-Hard problem for assigning inter-band aggregated CCs to UEs B B B B WEIGHT … … CC1 CC2 CCi CCn … … BINS Vi,j Fi,j U1 U2 … Uj … Um ITEMS 19
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NP HARDNESS FOR SCHEDULING
SUBSET SUM PROBLEM : NP-Complete problem for scheduling PRBs of assigned CCs to UEs B PRB1 PRB2 PRBi PRBn … … BINS Fi,j U1 U2 … Uj … Um ITEMS R1 R2 … Rj … Rm QoS 20
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AGENDA OF THE PRESENTATION
CONCEPTS, DEFINITIONS AND SYSTEM MODEL OUTAGE AND ISSUES PROBLEM FORMULATION AND HARDNESS APPROXIMATIONS, RELAXATIONS AND SOLUTION PERFORMANCE EVALUATION CONCLUSION 21
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CARRIER AGGREGATION HEURISTIC
Lowest frequency CC1 UE1 Cell-center UE2 CC2 CC3 UE3 CC4 UE4 Highest frequency CC5 UE5 Cell-edge R. Sivaraj, A. Pande, K. Zeng, K. Govindan, P. Mohapatra, “Edge-prioritized channel- and traffic-aware uplink Carrier Aggregation in LTE-Advanced systems”, IEEE WoWMoM, 2012 22
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CONVEX RELAXATION – PHASE I
PHASE I : PER CC TRANSMISSION POWER (With Constant unit-norm Beamforming vector configured during outage) Approximation from frequency-selective fading to flat fading A variation of the Proportional-fair heuristic to SCHEDULE PRBs to UEs (associated/re- associated UE) Allocation of PRBs to satisfy QoS is based on log(1+SINR). This is approximated as log(1+x) ≈ log x (Since, SINR > SINR Th and for practical reasons, SINR Th >> 1 ) A. Wiesel, Y. C. Eldar, S. Shamai, “Linear Precoding via Conic Optimization for fixed MIMO Receivers”, IEEE Trans. Signal Processing”, vol. 54, no. 1, Jan 2006 23
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CONVEX RELAXATION – PHASE II
PHASE II : PER RB BEAMFORMING WEIGHTS ( With per CC Transmission power obtained in Phase I ) Determination of approximate SINR threshold per PRB, given the expected number of PRBs allocated to the UE to satisfy QoS Retains the frequency-selective nature of the CC (since, UE’s per-PRB SINR must be greater than per-RB SINR threshold) 24
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OPTIMIZATION Iteration for dual variables
Primal variables : Per CC transmit power and per RB beamformer Both relaxed sub-problems are convex and so, strong duality Derive Lagrangian dual variables Derive complementary slackness and KKT conditions Derive iterative convex descent procedure and solve for KKT saddle points Iteration for dual variables 25
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AGENDA OF THE PRESENTATION
CONCEPTS, DEFINITIONS AND SYSTEM MODEL OUTAGE AND ISSUES PROBLEM FORMULATION AND HARDNESS APPROXIMATIONS, RELAXATIONS AND SOLUTION PERFORMANCE EVALUATION CONCLUSION 26
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NS3 SIMULATIONS Network simulations on discrete-event NS3 LENA (LTE/EPC network simulator) Complete implementation of uplink/downlink PHY and MAC layers, AMC, path loss models, channel state information Our custom additions: RSRP-based association of UEs to eNBs Log-normal shadowing between each UE-eNB pair Frequency-dependent path loss exponent for computation in inter-band CA 21-sector hexagonal grid with 3 collacted sector eNB sites with directional antennae on MIMO channels Scenarios: A – outage of a single cell-sector at the center of the hexagon B – outage of a collocated set of eNBs at the center C – outage of 3 cell sectors randomly distributed over the network Evaluation parameters : Percentage of successfully-reassociated outage UEs and the net achievable throughput, against the number of UEs 27
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NS3 SIMULATIONS 28
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NS3 SIMULATIONS Comparison : With SINR only (re-associating UEs to eNBs purely based on highest SINR) and residual PRBs only (re-associating UEs to eNBs purely based on highest number of residual PRBs ) Scenario A Our method : 45% SINR only : 26% Residual PRB only : 23% Scenario B Worst-case re-association Our method : 10% SINR only : 4% Residual PRB only : 1% Scenario C Worst-case re-association Our method : 15% SINR only : 4% Residual PRB only : 2% 29
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NS3 SIMULATIONS Comparison : With SINR only (re-associating UEs to eNBs purely based on highest SINR) and residual PRBs only (re-associating UEs to eNBs purely based on highest number of residual PRBs ) Scenario A Scenario B Scenario C Improvements : 20-25% half-way through, and upto 75% with further decrease in UE density in successful re-association On average, 20% throughput improvement on all 3 scenarios 30
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CONCLUSIONS Outage mitigation framework for dynamic outages in LTE-Advanced deployments Discussed Carrier Aggregation, 2D/3D beamforming, OFDMA-MIMO Impacts of outage – Channel quality assessment of outage UEs and other UEs Issues in re-association without re-configuring parameters Optimal mitigation strategy to serve for QoS and NP-hardness Essential parameters to be reconfigured : Per CC transmission power Per RB transmit beamformer (And hence, receive beamformer based on Linear MMSE) Convex relaxation and approximation guarantees Convex Optimization. Iterative procedure and descent algorithm to re-configure per CC transmission power and per RB transmit beamformer until KKT optimality NS3 simulations and performance evaluation of proposed technique against SINR only and residual RB only 31
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THANK YOU AND QUESTIONS !!!!
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2D-BEAMFORMING Signal processing technique for directional signal transmission or reception Combining elements in a phased array for constructive interference of signals. Achieves spatial selectivity by steering beams at transmit and receive ends. Parameters : Beamwidth, Horizontal gain, Angular orientation Causes inter-cell interference along the cell-edges
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3D-BEAMFORMING Introduces a vertical dimension at the transmitter by accounting for the heights of the eNB and UE, and vertical differences of 3D antennae. Beam steering is scattered in 3-D space, in contrast to 2-D plane. Parameters : Vertical gain, downtilt Reduces the inter-cell interference as the transmission is divided into both horizontal and vertical directions.
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