Wireless Ad Hoc and Sensor Networks

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Distributed Power Control of Wireless Cellular and Peer-to-Peer Networks 2077. An active link is dropped from the network if it has transmittedfor its maximum allowable transmission time T i .8. If link’s SIR is less than the threshold value γ i (not active) and ifit is not dropped, its power is updated by calculating the newtransmitter powers using Theorem 5.2.1.9. The above steps are repeated until all the links get added to thenetwork and have transmitted for a maximum allowable transmissiontime.Example 5.3.1: Admission Control of Links in aPeer-to-Peer NetworkEfficiency of a power control scheme would depend on maintaining thestable state of the system after a new link is added. The scheme shouldmaintain the SIR of all active nodes above a threshold, and power at whicha node transmits should be maintained below the maximum power level.From this example, it will be shown that Bambos (2000) DPC schemeappears not to satisfy this condition during admission control. The powerlevels of the active links increase to maintain their actual SIRs because ofthe interference caused by the new node. To evaluate the DPC with activelink protection, link 5 is introduced closer to the receiver of the link 1 asshown in Figure 5.18. The power update scheme of Bambos DPC allows500S-Transmitting node (source) & R-Receiving node4504004S4R9S9R350Distance in meters3002502001501001S2S1R3S2R5R5S3R6S7S6R8S7R8R5010S0010R50 100 150 200 250 300Distance in meters11S11R350 400 450 500FIGURE 5.18Node placement.
208 Wireless Ad Hoc and Sensor Networks6Plot for SIR vs Time units54Node 1Node 2Node 3Node 4Node 5Node 6Node 7Node 8Node 9Node 10Node 11SIR32100 200 400 600 800 1000 1200 1400 1600 1800Time unitsFIGURE 5.19Response of Bambo’s update during admission of new links.the link 5 to get admitted into the network causing severe interference tolink 1. In fact, Figure 5.19 and Figure 5.20 depict that the individual powersof all active links increase significantly as link 5 is being added into thesystem, causing a surge in power consumption of all active links.The SSCD and optimal schemes simulation displayed in Figure 5.21 andFigure 5.22 would not allow link 5 to be added into the system. In fact,SSCD and optimal DPC schemes use an extra requirement that has to besatisfied by the admission-seeking links. The admission links power upgradually, but whenever a link power update is greater than a predefinedvalue (which implies it would cause high interference when added to theactive links), the link is dropped from the network. The threshold levelshould be carefully selected to increase the efficiency of the network.The comparison of the total power consumed for the two schemes inFigure 5.23 illustrates clearly that the total power consumed using theoptimal DPC update is way below that of Bambos scheme. Hence, theoptimal DPC scheme provides efficient admission control.Example 5.3.2: Evaluation of Admission Delay and DroppedLinks with Number of UsersTo study the effect of number of users gaining admission and delay, considerthe scenario from Example 5.3.1 except the number of admission seekinglinks is increased. Figure 5.24 and Figure 5.25 show the dependence of
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18. Chaos in Automatic Control, edi
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CRC PressTaylor & Francis Group6000
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Table of Contents1 Background on Ne
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3 Congestion Control in ATM Network
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5.4.2 Distributed Power Controller
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7.3 Adaptive and Distributed Fair S
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9.2.2 Overview.....................
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the number of connections in each l
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y Maheswaran Thiagarajan, and tirel
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2 Wireless Ad Hoc and Sensor Networ
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10 Wireless Ad Hoc and Sensor Netwo
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2BackgroundIn this chapter, we prov
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Background 51u(k)x n (k + 1)x n (k)
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Background 53with x( 0)being the in
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Background 55with tr(.) the matrix
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Background 57nGiven a function ft (
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Background 592.3.2 Lyapunov Stabili
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Background 61as well as Jagannathan
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Background 63The subsequent example
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Background 65Evaluating this along
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Background 67Now, select the feedba
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Background 69is SISL if and only if
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Background 71L 1 (x)L(x, t)L 0 (x)0
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Background 73for some R > 0 such th
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Background 75Evaluating the first d
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Background 77Section 2.4Problem 2.4
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100 Wireless Ad Hoc and Sensor Netw
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4Admission Controller Design for Hi
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Admission Controller Design for Hig
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7Distributed Fair Scheduling in Wir
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Distributed Fair Scheduling in Wire
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8Optimized Energy and Delay-Based R
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Optimized Energy and Delay-Based Ro
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9Predictive Congestion Control for
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Predictive Congestion Control for W
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10Adaptive and Probabilistic Power
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Adaptive and Probabilistic Power Co
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