
Advanced Wireless Networks - 4G Technologies
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MOBILITY MANAGEMENT |
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Homing Base |
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MULTICAST |
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Station Re-routing |
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CONNECTION |
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RE-ROUTING |
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Virtual connection |
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Tree Re-routing |
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Hybrid Connection |
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PARTIAL |
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Re-routing |
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CONNECTION |
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RE-ROUTING |
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HANDOFF |
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Nearest Common |
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Node Re-routing |
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MANAGEMENT |
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ROUTE |
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InterWorking Devices |
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AUGMENTION |
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Connection Extension |
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FULL |
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InterWorking Devices |
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CONNECTION |
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Connection Re-route |
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RE-ROUTING |
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Figure 11.20 WATM handoff management techniques.
potential protocols to be used in 4G, can be grouped into four categories:
(1)full connection rerouting;
(2)route augmentation;
(3)partial connection rerouting; and
(4)multicast connection rerouting.
Full connection rerouting maintains the connection by establishing a completely new route for each handoff, as if it were a brand new call [46]. Route augmentation simply extends the original connection via a hop to the MT’s next location [46]. Partial connection rerouting reestablishes certain segments of the original connection, while preserving the remainder [9]. Finally, multicast connection rerouting combines the former three techniques but includes the maintenance of potential handoff connection routes to support the original connection, reducing the time spent in finding a new route for handoff [9]. More details can be found in the above references.
11.1.2.8 Mobility management for satellite networks
In 4G integrated wireless networks the LEO satellites would cover regions where building terrestrial wireless systems are economically infeasible due to rough terrain or insufficient user population. A satellite system could also interact with terrestrial wireless network to absorb the instantaneous traffic overload of the terrestrial wireless network.
LEO satellites are usually those with altitudes between 500 and 1500 km above the Earth’s surface [70–72]. This low altitude provides small end-to-end delays and low power requirements for both the satellites and the handheld ground terminals. In addition, intersatellite links (ISL) make it possible to route a connection through the satellite network without using any terrestrial resources. These advantages come along with a challenge; in contrast to geostationary (GEO) satellites, LEO satellites change their position with

CELLULAR SYSTEMS WITH PRIORITIZED HANDOFF |
329 |
reference to a fixed point on the Earth. Owing to this mobility, the coverage region of an LEO satellite is not stationary. A global coverage at any time is still possible if a certain number of orbits and satellites are used. The coverage area of a single satellite consists of small-sized cells, which are referred to as spotbeams. Different frequencies or codes are used in different spotbeams to achieve frequency reuse in the satellite coverage area.
Location management in the LEO satellite network environment represents more challenging problem because of the movement of satellite footprints. As a consequence, an LA cannot be associated with the coverage area of a satellite because of very fast movement of a LEO satellite. Thus, 4G will need the development of new LA definitions for satellite networks as well as the signaling issues mentioned for all of the location management protocols. In del Re [47], LAs are defined using (gateway, spotbeam) pairs. However, the very fast movement of the spotbeams results in excessive signaling for location updates. In Ananasso and Priscoli [73], LAs are defined using only gateways. However, the paging problem has not been addressed in the same reference.
Handoff management ensures that ongoing calls are not disrupted as a result of satellite movement, but rather transferred or handed off to new spotbeams or satellites when necessary. If a handoff is between two spotbeams served by the same satellite, handoff is intrasatellite. The small size of spotbeams causes frequent intrasatellite handoffs, which are also referred to as spotbeam handoffs [74]. If the handoff is between two satellites, it is referred to as intersatellite handoff. Another form of handoff occurs as a result of the change in the connectivity pattern of the network. Satellites near to polar regions turn off their links to other satellites in the neighboring orbits. Ongoing calls passing through these links need to be rerouted. This type of handoff is referred to as link handoff [59, 60]. Frequent link handoffs result in a high volume of signaling traffic. Moreover, some of the ongoing calls would be blocked during connection rerouting caused by link handoffs.
11.2 CELLULAR SYSTEMS WITH PRIORITIZED HANDOFF
The handoff attempt rate in a cellular system depends on cell radius and mobile speed as well as other system parameters. As a result of limited resources, some fraction of handoff attempts will be unsuccessful. Some calls will be forced to terminate before message completion. In this section we discuss analytical models to investigate these effects and to examine the relationships between performance characteristics and system parameters. For these purposes some assumptions about the traffic nature are needed. We assume that the new call origination rate is uniformly distributed over the mobile service area with the average number of new call originations per second per unit area a. A very large population of mobiles is assumed, thus the average call origination rate is for practical purposes independent of the number of calls in progress. A hexagonal cell shape is assumed. The cell radius R for a hexagonal cell is defined as the maximum distance from the center of
a cell to the cell boundary. With the cell radius R, the average new call origination rate per
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cell R is R = 3 3R2 a/2. Average handoff attempt rate per cell is Rh. The ratio γ0 of handoff attempt rate to new call origination rate (per cell) is γ0 Rh/R . If a fraction PB of new call origination is blocked and cleared from the system, the average rate at which new calls are carried is Rc = R (1 − PB). Similarly, if a fraction Pfh of handoff attempts fails, the average rate at which handoff calls are carried is Rhc = Rh(1 − Pfh). The ratio

332MOBILITY MANAGEMENT
(5)The probability PH that a call that has already been handed off successfully will require another handoff before completion is
∞ |
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PH = Pr {TM > Th} = |
1 − FTM (t) fTh (t) dt = e−μMt fTh (t) dt (11.10) |
0 |
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Let the integer random variable K be the number of times that a nonblocked call is successfully handed off during its lifetime. The event that a mobile moves out of the mobile service area during the call will be ignored since the whole service area is much larger than the cell size. A nonblocked call will have exactly K successful handoffs if all of the following events occur:
(1)It is not completed in the cell in which it was first originated.
(2)It succeeds in the first handoff attempt.
(3)It requires and succeeds in k − 1 additional handoffs.
(4)It is either completed before needing the next handoff or it is not completed but fails on the (k + 1)st handoff attempt.
The probability function for K is therefore given by
Pr{K = 0} = (1 − PN) + PN Pfh |
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Pr{K = k} = PN(1 − Pfh)(1 − PH + PH Pfh){ PH(1 − Pfh)}k−1, |
k = 1, 2, . . . |
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(11.11) |
and the mean value of K is |
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K¯ |
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∞ k Pr |
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PN(1 − Pfh) |
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1 − PH(1 − Pfh) |
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= k=0 |
{ |
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If the entire service area has M cells, the total average new call attempt rate which is not
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blocked is M Rc, and the total average handoff call attempt rate is KM Rc. If these traffic |
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components are equally distributed among cells, we have γc = (KM Rc)/(M Rc) ≡ K .
11.2.1 Channel assignment priority schemes
The probability of forced termination can be decreased by giving priority (for channels) to handoff attempts (over new call attempts). In this section, two priority schemes are described, and the expressions for PB and Pfh are derived. A subset of the channels allocated to a cell is to be exclusively used for handoff calls in both priority schemes. In the first priority scheme, a handoff call is terminated if no channel is immediately available in the target cell (channel reservation – CR handoffs). In the second priority scheme, the handoff call attempt is held in a queue until either a channel becomes available for it, or the received signal power level becomes lower than the receiver threshold level (channel reservation with queueing – CRQ handoffs).
11.2.2 Channel reservation – CR handoffs
Priority is given to handoff attempts by assigning Ch channels exclusively for handoff calls among the C channels in a cell. The remaining C − Ch channels are shared by both new

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333 |
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ΛR + ΛRh |
ΛR + ΛRh |
ΛR + ΛRh |
ΛRh |
ΛRh |
ΛRh |
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Figure 11.21 State-transition diagram for channel reservation – CR handoffs.
calls and handoff calls. A new call is blocked if the number of available channels in the cell is less than or equal to Ch when the call is originated. A handoff attempt is unsuccessful if no channel is available in the target cell. We assume that both new and handoff call attempts are generated according to a Poisson point process with mean rates per cell of R and Rh, respectively. As discussed previously, the channel holding time TH in a cell is approximated
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of a |
to have an exponential distribution with mean TH( 1/μH). We define the state |
cell such that a total of j calls is in the progress for the base station of that cell. Let Pj represent the steady-state probability that the base station is in state E j ; the probabilities can be determined in the usual way for birth-death processes discussed in Chapter 6. The pertinent state-transition diagram is shown in Figure 11.21.
The state equations are |
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R + Rh P |
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Pj = |
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jμH |
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As in Chapter 6, by using Equation (11.13) recursively, along with the normalization con-
∞
dition Pj = 1, the probability distribution {Pj } is
j=0 |
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k=C−Ch+1 |
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The probability of blocking a new call is PB = |
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j=C−Ch Pj and the probability of handoff |
attempt failure Pfh is the probability that the state number of the base station is equal to C. Thus Pfh = Pc.
11.2.3 Channel reservation with queueing – CRQ handoffs
When a mobile moves away from the base station, the received power generally decreases. When the received power gets lower than a handoff threshold level, the handoff procedure

334 MOBILITY MANAGEMENT
Forced terminations |
Calls in progress |
Queue of |
Channel |
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handoff |
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Figure 11.22 Call flow diagram for channel reservation with queueing-CRQ handoffs.
is initiated. The handoff area is defined as the area in which the average received power level from the base station of a mobile receiver is between the handoff threshold level (upper bound ) and the receiver threshold level (lower bound ). If the handoff attempt finds all channels in the target cell occupied, we consider that it can be queued. If any channel is released while the mobile is in the handoff area, the next queued handoff attempt is accomplished successfully. If the received power level from the source cell’s base station falls below the receiver threshold level prior to the mobile being assigned a channel in the target cell, the call is forced into termination. When a channel is released in the cell, it is assigned to the next handoff call attempt waiting in the queue (if any). If more than one handoff call attempt is in the queue, the first-come-first-served queuing discipline is used. The prioritized queueing is also possible where the fast moving (fast signal level losing) users may have higher priority. We assume that the queue size at the base station is unlimited. Figure 11.22 shows a schematic representation of the flow of call attempts through a base station.
The time for which a mobile is in the handoff area depends on system parameters such as the speed and direction of mobile travel and the cell size. We call it the dwell time of a mobile in the handoff area TQ . For simplicity of analysis, we assume that this dwell time
is exponentially distributed with mean ¯Q ( 1/μH). We define j as the state of the base
T E
station when j is the sum of the number of channels being used in the cell and the number of handoff call attempts in the queue. For those states whose state number j is less than equal to C, the state transition relation is the same as for the CR scheme. Let X be the elapsed time from the instant a handoff attempt joins the queue to the first instant that a channel is released in the fully occupied target cell. For state numbers less than C, X is equal to zero. Otherwise, X is the minimum remaining holding time of those calls in progress in the fully occupied target cell. When a handoff attempt joins the queue for a given target cell, other handoff attempts may already be in the queue (each is associated with a particular mobile). When any of these first joined the queue, the time that it could remain on the queue without succeeding is denoted by TQ (according to our previous definition). Let Ti be the remaining dwell time for that attempt which is in the ith queue position when another handoff attempt

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ΛR + ΛRh |
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Figure 11.23 State-transition diagram for CRQ priority scheme.
joins the queue. Under the memoryless assumptions here, the distributions of all Ti and TQ are identical. Let N (t) be the state number of the system at time t. From the description of this scheme and the properties of the exponential distribution it follows that
Pr {N (t + h) = C + k − 1|N (t) = C + k} |
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= 1 − Pr {X > h} Pr {T1 > h} . . . Pr {Tk > h} = 1 − e−(CμH +kμQ )h
since the random variables X, T1, T2, . . . , Tk are independent. From Equation (11.15) we see that it follows the birth-and-death process and the resulting state transition diagram is as shown in Figure 11.23.
As before, the probability distribution {Pj } is easily found to be
P |
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The probability of blocking is PB = |
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Pj . A given handoff attempt that joins the |
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queue will be successful if both of the following events occur before the mobile moves out
336 MOBILITY MANAGEMENT
of the handoff area:
(1)All of the attempts that joined the queue earlier than the given attempt have been disposed.
(2)A channel becomes available when the given attempt is at the front of the queue.
Thus the probability of a handoff attempt failure can be calculated as the average fraction of handoff attempts whose mobiles leave the handoff area prior to their coming into the queue front position and getting a channel. Noting that arrivals that find k attempts in queue enter position k + 1, this can be expressed as
Pfh |
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wherePfh|k = Pr {attempt fails given it enters the queue in position k − 1}.
Since handoff success for those attempts which enter the queue in position k + 1 requires coming to the head of the queue and getting a channel, under the memoryless conditions assumed in this development, we have
1 − Pfh|k = |
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(11.18) |
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whereP (i | i + 1) is the probability that an attempt in position i + 1 moves to position i before its mobile leaves the handoff area.
There are two possible outcomes for an attempt in position i + 1. It will either be cleared from the system or will advance in queue to the next (lower) position. It will advance if the remaining dwell time of its mobile exceeds either:
(1)at least one of the remaining dwell times Tj , j = 1, 2, . . . , i, for any attempt ahead of it in the queue; or
(2)the minimum remaining holding time X of those calls in progress in the target cell.
Thus
1 − P(i | i + 1) = Pr {Ti+1 ≤ X, Ti+1 ≤ Tj , j = 1, 2, . . . , i} i = 1, 2, . . . .
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(11.19) |
1 − P(i | i + 1) = Pr {Ti+1 ≤ X, Ti+1 ≤ T1, . . . , Ti+1 ≤ Ti } |
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= Pr {Ti+1 ≤ min(X, T1, T2, . . . , Ti )} |
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= Pr {Ti+1 ≤ Yi } i = 1, 2, . . . |
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where Yi ≡ min(X, T1, T2, . . . , Ti ). Since the mobiles move independently of each other and of the channel holding times, the random variables, X, Tj , ( j = 1, 2, . . . , i) are statistically independent. Therefore, the cumulative distribution of Yi in Equation (11.19) can be written as
FYi (τ ) = 1 − {1 − FX (τ )}{1 − FT1 (τ )} . . . {1 − FTi (τ )}
CELLULAR SYSTEMS WITH PRIORITIZED HANDOFF |
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Because of the exponentially distributed variables, this gives
FYi (τ ) = 1 − e−CμHτ e−μQ τ . . . e−μQ τ = 1 − e−(CμH+iμQ )τ
and Equation (11.19) becomes
∞
1 − P(i | i + 1) = Pr {Ti+1 ≤ Yi } = {1 − FYi (τ )} fTi+1 (τ ) dτ
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(11.20) |
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= e−(CμH+iμQ )τ μQ e−μQ τ dτ = |
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The handoff attempt at the head of the queue will get a channel (succeed) if its remaining dwell time T1 exceeds X. Thus
Pr {get channel in front position} = Pr {T1 > X} and |
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Pr {does not get channel in front position} = Pr {T1 ≤ X} |
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(11.21) |
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= e−CμHτ μQ e−μQ τ dτ = |
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The probability Equation (11.21) corresponds to letting i = 0 in Equation (11.20) Then from Equation (11.18) we have
1 − Pfh|k = |
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Pr {get channel in first position} |
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P ( i| i + 1) |
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CμH + 2μQ |
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CμH + kμQ |
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· · · CμH + (k + 1) μQ CμH + |
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CμH + (k + 1) μQ |
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and |
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(11.23) |
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The above equations form a set of simultaneous nonlinear equations which can be solved for system variables when parameters are given. Beginning with an initial guess for the unknowns, the equations are solved numerically using the method of successive substitutions.
A call which is not blocked will be eventually forced into termination if it succeeds in each of the first (l − 1) handoff attempts which it requires but fails on the lth. Therefore,
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Pfh PN |
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where PN and PH are the probabilities of handoff demand of new and handoff calls, as defined previously. Let Pnc denote the fraction of new call attempts that will not be completed because of either blocking or unsuccessful handoff. This is also an important system