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Praise for Fundamentals of WiMAX

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252 Chapter 7 • Networking and Services Aspects <strong>of</strong> Broadband WirelessReceived Signal StrengthAHand<strong>of</strong>f ThresholdMinimum Signal Level (MSL)BDistance/TimeBaseStation ABaseStation BFigure 7.13 Hand<strong>of</strong>f detection based on signal strengthTo minimize the dropping probability, the hand<strong>of</strong>f procedures need to be executed quickly,and the ∆ set higher so that the likelihood <strong>of</strong> the signal’s dropping below the MSL be<strong>for</strong>e hand<strong>of</strong>fexecution is minimized. Obviously, setting a large ∆ implies a costlier cellular design withlarger overlap among cells. Being too quick to hand over may also lead to excessive and unnecessaryhand<strong>of</strong>fs, particularly when there is significant signal fluctuations.Clearly, there is a trade-<strong>of</strong>f between dropping probability and hand<strong>of</strong>f rate. Too few hand<strong>of</strong>fsmay lead to dropped calls, and too many hand<strong>of</strong>fs may cause signaling overload anddegrade service quality. The nature <strong>of</strong> the trade-<strong>of</strong>f between dropping probability and hand<strong>of</strong>frate depends on the signal-fluctuation model and the hand<strong>of</strong>f decision algorithm used. For example,Table 7.4 shows the results <strong>of</strong> a simulation study reported in [67]. The table illustrates thetrade-<strong>of</strong>f between dropping probability and hand<strong>of</strong>f rate <strong>for</strong> three algorithms, which, respectively,base hand<strong>of</strong>f decisions on (1) instantaneous value <strong>of</strong> signal level, (2) signal level averagedover past ten samples, and (3) true expected value <strong>of</strong> signal level. As reported in [67], theseresults are based on Matlab simulations <strong>of</strong> an MS moving at 20m/s from one BS to another separatedby 1km. A fourth-power exponential decay and lognormal shadow fading with a correlationdistance <strong>of</strong> 50m 12 is used to model the signal. Signal samples are assumed to be taken every0.5 seconds.12. Defined as the distance at which the signal correlation drops to 0.5.

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