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Fundamental Limits for Communication Systems with
                    Renewable Energy Sources

                                           Vinod Sharma
                          Dept of Electrical Communication Engineering,
                                    Indian Institute of Science
                                          Bangalore, India


      Joint work with Utpal Mukherji, R. Rajesh, Vinay Joseph, P. Viswanath
                               and Deekshith K


                                                     April 5, 2012


Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 1 / 27
Outline


           Introduction
           Green Communications
           Green Communications in India
           Communication system design with renewal energy
                   Single node: Point to Point
                   Information theoretic
                   Queuing theoretic
           MAC
           Multihop
           Conclusions




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 2 / 27
Introduction

           2% of total electrical energy globally consumed in data centers and
           communication equipment.
           Predominant ICT energy consumed by Wireless networks.
           BS consumes 50% of overall power consumed in wireless networks.
           One BS consumes 2Kwatt
                   50 − 80% to RF
                   5 − 15% SP
                   10 − 25% Air conditioner
           A medium sized (12 − 15K cell sites) cellular network consumes
           equivalent of 1, 70, 000 homes.
           Every year 1, 20, 000 new BSs added world wide.
           Total energy consumed by one cell phone is 0.1Watt.
           Manufacturing and disposal of cell phones consume similar amount.
           This will have significant environmental impact.
Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 3 / 27
Green Communication


           Saving Energy for specific throughput and QoS satisfaction.

   Energy saving should be done at each level
           Chip level (hardware): different operating power saving modes, careful
           circuit design.
           Energy efficient RF: More efficient design of power amplifiers, saving
           power leakage in transmission to antenna.
           Software: Operating system, compiler design.
           Phy layer: power control, AMC.
           Power saving modes under low utilization.




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 4 / 27
Green Communication


           MAC: Power aware scheduling.
           Cross layer design: Phy, MAC, routing.
           Smarter design of topology: Cell sites, BS size saves upto 40% energy
           Femto cells: Decreases BS and cell phone transmit power
           MIMO antennas: to increase capacity, diversity.
           Interference coordination
                   Spectral reuse
                   Opportunistic scheduling
           Energy efficient router design.
                                                                                       1                                1
                   Should have smaller buffers: Buffer consumes                          2   of board space and           3
                   of power.
           Energy efficient TCP


Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 5 / 27
Green Communication




   Alternative Energy sources:
           Solar
           Wind
           Fuel cell, hybrid




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 6 / 27
Solar/Wind powered Base Station




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 7 / 27
Indian Cellular Scenario




           2, 50, 000 Telecom towers
           70% energy consumed by Towers
           50% Towers in rural India
                   Each tower consumes 1K- 3KWatt
                   Operated by Diesel generators
           ≥ 4400 ton/hr CO2 emission.




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 8 / 27
Green Communications in India

                                                                        Solar powered village BS for
                                                                        GSM- World GSM by VNL
                                                                        Low cost, low powered BS
                                                                        Connected to large BS
                                                                        VBS handles hundreds of users
                                                                        Uses ∼ 100 Watt
                                                                        2 − 8m2 solar panels required
                                                                        50 VBS installed in Rajasthan
                                                                        Can provide connectivity at
                                                                        remote places with no electric
                                                                        supply: saves on diesel.
                                                                        Other makes: Alcatel- Lucent,
                                                                        Ericsson, Nokia Siemens.

Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy2012
                                                                                                       April 5, Sources 9 / 27
Green Communications in India

           Not enough sun light in Monsoon.
           Combining Sun and Wind Energy a solution.
   Flexenclosure design of BS
           Wind generator atop the tower supporting antenna.
           Solar panel on roof of shelter housing switching equipment.

           Initial installation cost more than traditional BS but operating cost
           much less
                   No oil/ diesel.
                   No transport cost of oil.
                   Low maintenance.
           New TRAI Recommendation: 50% of rural and 20% of Urban BS to
           use hybrid power by 2015.


Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 10 / 27
                                                                                                      April 5, 2012
System design with Energy Harvesting sources

                                                                         Using Solar, wind energy to
                                                                         supplement regular electric
                                                                         supply can be effective
                                                                         BS with Energy Harvesting
                                                                         sources

                                                                 Downlink
                                                                         Given (Xk , hk , Ek ) find PK and
                                                                         the queue to serve so as to
                                                                         satisfy QoS of different users.
                                                                         Pk ≤ EK (1) + Ek (2)

                                                                 Uplink problem
                                           cell phones having solar cells.
   Key Concern: Unpredictable, random energy generation.
Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 11 / 27
                                                                                                      April 5, 2012
Our Research on Energy Harvesting Communication
   Systems

   Single Node




           AWGN channel with var σ 2 .
           {Yk }iid
                                                              √
           RK = received from channel =                           Tk Xk + Wk
                      Wk ∼ N(0, σ 2 )

Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 12 / 27
                                                                                                      April 5, 2012
Single Node: Capacity



   Theorem:
   When energy is consumed only in transmission,
   the capacity = 0.5log (1 + E [Y ]/σ 2 )

   Comments
       1   Limiting capacity achieving distribution is iid                             N(0, E [Y ])
       2   Capacity is same as that of an AWGN channel with average power
           constraint E [Y ].




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 13 / 27
                                                                                                      April 5, 2012
Capacity with Processing Energy
           Zk = energy spent in processing and computations.
           ∗{Zk }iid.
           Capacity achieving dist. Gaussian iid with possibly sleep mode.




                                       Figure: Capacity with sleep mode.

Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 14 / 27
                                                                                                      April 5, 2012
Single Node with Data Buffer



          {Xk } stationary, ergodic
          {YK } stationary, ergodic



                                      TK = min(EK , E [Y ] − ), > 0                                                     (1)


   Theorem:
   If E [X ] < g (E [Y ] − ), g cont., non decreasing, concave then data queue
   is stable.

           (1) is throughput optimal policy.
           But it is not delay optimal
Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 15 / 27
                                                                                                      April 5, 2012
Single Node


           Greedy Policy
                                             Tk = min(Ek , g −1 (qk ))                                                  (2)


   Theorem
   If E [X ] < E [g (Y )] and energy buffer is finite, then under (2) data queue
   is stable.

   Theorem
   If g is linear then (2) is delay optimal and throughput optimal.




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 16 / 27
                                                                                                      April 5, 2012
Figure: Comparison of policies with                            Figure: Comparison of policies with
  Fading and linear g                                            Fading; g (x) = log (1 + x)




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 17 / 27
                                                                                                      April 5, 2012
Combining Queing Theory and Information Theory




   Theorem
   Reliable Communication with stable data queue is possible iff
   E [A] < 1 log 1 + Eσ2 ] .
           2
                      [Y




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 18 / 27
                                                                                                      April 5, 2012
MAC Policies




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 19 / 27
                                                                                                      April 5, 2012
Information Theoretic Capacity




                                                1             E [Y (1)]
                                      R1          log      1+
                                                2                σ2
                                                1             E [Y (2)]
                                      R2          log      1+
                                                2                σ2
                                                1             E [Y (1) + E [Y (2)]
                             R1 + R2              log      1+
                                                2                      σ2

Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 20 / 27
                                                                                                      April 5, 2012
Opportunistic Scheduling for Fading Channels: Orthogonal
   Channels


           Hk (i) = channel gain of Qi in slot k

   Throughput optimal policy:
   Choose queue with index
                   ∗
                  ik = argmax(qk (i)gi (Hk (i)(fracE [Y (i)] − α(i))))
                                  ∗
                           E [Y (ik )]−
   and use Tk =                    ∗
                              α(ik )
                ∗                                         ∗
             α(ik ) = fraction of time slots assigned to ik estimated via LMS.




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 21 / 27
                                                                                                      April 5, 2012
Opportunistic Scheduling: CDMA




           Zigbee, WIFI use CSMA.
           Choose backoff timer of Qi as

                               f (qk (i)gi (hk (i) E [Y (i)]− ))
                                                      α(i)

                               f non-increasing




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 22 / 27
                                                                                                      April 5, 2012
Figure: Orthogonal Channels:                                   Figure: CSMA: Mean Delay, Symmetric
  Symmetric, 3 Queues.                                           10 Queues.




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 23 / 27
                                                                                                      April 5, 2012
Multihop Model




           N stationary nodes
           t sink nodes
           Slotted system with slot length T
           Sensor nodes sense a random field
           Dn set of sink nodes for node n. (Multicasting)
           A node can be in sleep or wake mode
           Nodes generate energy via a harvesting source.
Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 24 / 27
                                                                                                      April 5, 2012
Aim




   Obtain a Joint Power Control Link Scheduling, Routing and Sleep-wake
   policies to maximize the throughput in a fair manner.

   Approaches considered
       1   APP R : Multicommodity flow model
       2   APP T : Using Steiner Tree
       3   APP Nc: Using Network Coding




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 25 / 27
                                                                                                      April 5, 2012
Figure: Layout of the network : 20
  sensors, 3 sinks, 10 sensor nodes         Figure: Performance of ALGO-M : Used
  multicast to sinks 1 and 2; 10 to sinks 2 to solve OPT-R and OPT-NC
  and 3

           ALGO-M can provide solution for comparatively larger network.
           OPT-NC provides significant improvement once OPT-R


Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 26 / 27
                                                                                                      April 5, 2012
Conclusions




           Communication infrastructure has heavy cost of energy consumption,
           high carbon footprint.
           Careful design can reduce energy and carbon footprint substantially.
           Green communications requires redesign at each level.
                   Research Opportunities at each level.
           Communication systems with energy harvesting can be designed with
           minimal effect of random, unreliable energy sources.




Vinod Sharma, Indian Institute of Science, ECE ()
                                             Fundamental Limits for Communication Systems with Renewable Energy Sources 27 / 27
                                                                                                      April 5, 2012

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Fundamental Limits of Communication Systems Using Renewable Energy

  • 1. Fundamental Limits for Communication Systems with Renewable Energy Sources Vinod Sharma Dept of Electrical Communication Engineering, Indian Institute of Science Bangalore, India Joint work with Utpal Mukherji, R. Rajesh, Vinay Joseph, P. Viswanath and Deekshith K April 5, 2012 Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 1 / 27
  • 2. Outline Introduction Green Communications Green Communications in India Communication system design with renewal energy Single node: Point to Point Information theoretic Queuing theoretic MAC Multihop Conclusions Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 2 / 27
  • 3. Introduction 2% of total electrical energy globally consumed in data centers and communication equipment. Predominant ICT energy consumed by Wireless networks. BS consumes 50% of overall power consumed in wireless networks. One BS consumes 2Kwatt 50 − 80% to RF 5 − 15% SP 10 − 25% Air conditioner A medium sized (12 − 15K cell sites) cellular network consumes equivalent of 1, 70, 000 homes. Every year 1, 20, 000 new BSs added world wide. Total energy consumed by one cell phone is 0.1Watt. Manufacturing and disposal of cell phones consume similar amount. This will have significant environmental impact. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 3 / 27
  • 4. Green Communication Saving Energy for specific throughput and QoS satisfaction. Energy saving should be done at each level Chip level (hardware): different operating power saving modes, careful circuit design. Energy efficient RF: More efficient design of power amplifiers, saving power leakage in transmission to antenna. Software: Operating system, compiler design. Phy layer: power control, AMC. Power saving modes under low utilization. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 4 / 27
  • 5. Green Communication MAC: Power aware scheduling. Cross layer design: Phy, MAC, routing. Smarter design of topology: Cell sites, BS size saves upto 40% energy Femto cells: Decreases BS and cell phone transmit power MIMO antennas: to increase capacity, diversity. Interference coordination Spectral reuse Opportunistic scheduling Energy efficient router design. 1 1 Should have smaller buffers: Buffer consumes 2 of board space and 3 of power. Energy efficient TCP Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 5 / 27
  • 6. Green Communication Alternative Energy sources: Solar Wind Fuel cell, hybrid Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 6 / 27
  • 7. Solar/Wind powered Base Station Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 7 / 27
  • 8. Indian Cellular Scenario 2, 50, 000 Telecom towers 70% energy consumed by Towers 50% Towers in rural India Each tower consumes 1K- 3KWatt Operated by Diesel generators ≥ 4400 ton/hr CO2 emission. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 8 / 27
  • 9. Green Communications in India Solar powered village BS for GSM- World GSM by VNL Low cost, low powered BS Connected to large BS VBS handles hundreds of users Uses ∼ 100 Watt 2 − 8m2 solar panels required 50 VBS installed in Rajasthan Can provide connectivity at remote places with no electric supply: saves on diesel. Other makes: Alcatel- Lucent, Ericsson, Nokia Siemens. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy2012 April 5, Sources 9 / 27
  • 10. Green Communications in India Not enough sun light in Monsoon. Combining Sun and Wind Energy a solution. Flexenclosure design of BS Wind generator atop the tower supporting antenna. Solar panel on roof of shelter housing switching equipment. Initial installation cost more than traditional BS but operating cost much less No oil/ diesel. No transport cost of oil. Low maintenance. New TRAI Recommendation: 50% of rural and 20% of Urban BS to use hybrid power by 2015. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 10 / 27 April 5, 2012
  • 11. System design with Energy Harvesting sources Using Solar, wind energy to supplement regular electric supply can be effective BS with Energy Harvesting sources Downlink Given (Xk , hk , Ek ) find PK and the queue to serve so as to satisfy QoS of different users. Pk ≤ EK (1) + Ek (2) Uplink problem cell phones having solar cells. Key Concern: Unpredictable, random energy generation. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 11 / 27 April 5, 2012
  • 12. Our Research on Energy Harvesting Communication Systems Single Node AWGN channel with var σ 2 . {Yk }iid √ RK = received from channel = Tk Xk + Wk Wk ∼ N(0, σ 2 ) Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 12 / 27 April 5, 2012
  • 13. Single Node: Capacity Theorem: When energy is consumed only in transmission, the capacity = 0.5log (1 + E [Y ]/σ 2 ) Comments 1 Limiting capacity achieving distribution is iid N(0, E [Y ]) 2 Capacity is same as that of an AWGN channel with average power constraint E [Y ]. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 13 / 27 April 5, 2012
  • 14. Capacity with Processing Energy Zk = energy spent in processing and computations. ∗{Zk }iid. Capacity achieving dist. Gaussian iid with possibly sleep mode. Figure: Capacity with sleep mode. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 14 / 27 April 5, 2012
  • 15. Single Node with Data Buffer {Xk } stationary, ergodic {YK } stationary, ergodic TK = min(EK , E [Y ] − ), > 0 (1) Theorem: If E [X ] < g (E [Y ] − ), g cont., non decreasing, concave then data queue is stable. (1) is throughput optimal policy. But it is not delay optimal Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 15 / 27 April 5, 2012
  • 16. Single Node Greedy Policy Tk = min(Ek , g −1 (qk )) (2) Theorem If E [X ] < E [g (Y )] and energy buffer is finite, then under (2) data queue is stable. Theorem If g is linear then (2) is delay optimal and throughput optimal. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 16 / 27 April 5, 2012
  • 17. Figure: Comparison of policies with Figure: Comparison of policies with Fading and linear g Fading; g (x) = log (1 + x) Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 17 / 27 April 5, 2012
  • 18. Combining Queing Theory and Information Theory Theorem Reliable Communication with stable data queue is possible iff E [A] < 1 log 1 + Eσ2 ] . 2 [Y Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 18 / 27 April 5, 2012
  • 19. MAC Policies Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 19 / 27 April 5, 2012
  • 20. Information Theoretic Capacity 1 E [Y (1)] R1 log 1+ 2 σ2 1 E [Y (2)] R2 log 1+ 2 σ2 1 E [Y (1) + E [Y (2)] R1 + R2 log 1+ 2 σ2 Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 20 / 27 April 5, 2012
  • 21. Opportunistic Scheduling for Fading Channels: Orthogonal Channels Hk (i) = channel gain of Qi in slot k Throughput optimal policy: Choose queue with index ∗ ik = argmax(qk (i)gi (Hk (i)(fracE [Y (i)] − α(i)))) ∗ E [Y (ik )]− and use Tk = ∗ α(ik ) ∗ ∗ α(ik ) = fraction of time slots assigned to ik estimated via LMS. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 21 / 27 April 5, 2012
  • 22. Opportunistic Scheduling: CDMA Zigbee, WIFI use CSMA. Choose backoff timer of Qi as f (qk (i)gi (hk (i) E [Y (i)]− )) α(i) f non-increasing Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 22 / 27 April 5, 2012
  • 23. Figure: Orthogonal Channels: Figure: CSMA: Mean Delay, Symmetric Symmetric, 3 Queues. 10 Queues. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 23 / 27 April 5, 2012
  • 24. Multihop Model N stationary nodes t sink nodes Slotted system with slot length T Sensor nodes sense a random field Dn set of sink nodes for node n. (Multicasting) A node can be in sleep or wake mode Nodes generate energy via a harvesting source. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 24 / 27 April 5, 2012
  • 25. Aim Obtain a Joint Power Control Link Scheduling, Routing and Sleep-wake policies to maximize the throughput in a fair manner. Approaches considered 1 APP R : Multicommodity flow model 2 APP T : Using Steiner Tree 3 APP Nc: Using Network Coding Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 25 / 27 April 5, 2012
  • 26. Figure: Layout of the network : 20 sensors, 3 sinks, 10 sensor nodes Figure: Performance of ALGO-M : Used multicast to sinks 1 and 2; 10 to sinks 2 to solve OPT-R and OPT-NC and 3 ALGO-M can provide solution for comparatively larger network. OPT-NC provides significant improvement once OPT-R Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 26 / 27 April 5, 2012
  • 27. Conclusions Communication infrastructure has heavy cost of energy consumption, high carbon footprint. Careful design can reduce energy and carbon footprint substantially. Green communications requires redesign at each level. Research Opportunities at each level. Communication systems with energy harvesting can be designed with minimal effect of random, unreliable energy sources. Vinod Sharma, Indian Institute of Science, ECE () Fundamental Limits for Communication Systems with Renewable Energy Sources 27 / 27 April 5, 2012