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A cell-numbering plan for seamless handoff in a wireless ATM network

Rong-Hong Jan*, Kuo-Ruey Wu

Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan 300, ROC Received 26 January 1999; received in revised form 28 June 1999; accepted 29 June 1999

Abstract

This paper proposes a cell-numbering plan for mobile stations to handoff seamlessly to the cells in a wireless Asynchronous Transfer Mode (ATM) network. It also proposes a minimum-hop rerouting (MHR) method to perform the rerouting of user connections during the handoff. The cell-numbering plan assigns each cell an integer from 1 to 5, ensuring that neighboring cells will have different numbers. Any mobile station that performs a handoff beween any two cells can easily calculate if a reroute is needed. Furthermore, by using the MHR, the path between the originating and terminating mobile stations will be the shortest whenever either of them moves. The signaling bandwidth used for this kind of rerouting is believed to be the smallest among the methods reported to date.q 2000 Elsevier Science B.V. All rights reserved.

Keywords: Handoff; Wireless networks; Asynchronous transfer mode; Rerouting

1. Introduction

Current Personal Communication Systems such as GSM or IS-41 are supported only by low-transmission-rate mobile data services. The new standards, such as General Packet

Radio Service and High Speed Circuit Switched Data, can

support a data rate from 9.6 to 28.8 kbps. However, most applications (e.g. the WWW, video conferencing and so on) require high-speed transmission. Thus, a wireless ATM [1– 6] network is proposed to solve this problem. With the speed of new developments in wireless network systems and ATM networks, it is an exciting task to give mobile users access to broadband services anytime, anywhere, with anybody and in any form.

An important function of the wireless network is the handoff of mobile users. While a mobile user is moving across the radio cells of the personal communication system network, the mobile station (MS) exchanges radio signals with different base stations (BS). The handoff between the original BS and the new BS cannot be interrupted, so the call is continued. Especially in high-speed wireless ATM networks, if the service is either time-sensitive (e.g. voice and video) or loss-sensitive (e.g. file transfer), the user’s radio link must not be interrupted. Thus, a seamless handoff is required for a high-speed network environment and the overhead for handoffs from BS to BS should be kept as small as possible.

A wireless ATM network is constructed as shown in Fig. 1. There is a BS in each cell. The MS exchanges its radio signal with the BS. The BS is connected to an ATM switch. Note that an ATM switch cover cells are grouped as a zone. The ATM switch is also the zone manager of this area. All ATM switches are connected as the backbone of the network. Any mobile user that wants to communicate with another user must use the BS and ATM backbone to trans-mit his messages.

The user is mobile and will move from time to time. When the user moves between two cells of the same zone, he can exchange radio signals with the new BS, and the zone manager (ATM switch) can update its virtual circuit transla-tion table to make the incoming ATM data cells go to the new BS. A new connection is set up between the new BS and the ATM switch. This is called the intra-zone handoff and it does not involve other ATM switches. If the mobile user moves to new BS under the control of a new ATM switches (i.e. inter-zone handoff), the MS exchanges radio signals with the new BS and it sets up a connection to the new switch. The new switch must coordinate with the origi-nal switch to reroute the data cells. Moreover, more than two (original and current switches) switches may be involved in the rerouting. Whether it reroutes incoming cells to the MS or outgoing cells to the far end of the termi-nating MS, the ATM switches must use a high-quality rerouting method to ensure smooth cell transmission.

A few methods have been proposed to solve the rerouting of the wireless ATM networks [7–15]. The virtual connec-tion tree (VCT) [8] sets-up connecconnec-tions in advance for the Computer Communications 23 (2000) 32–38

0140-3664/00/$ - see front matterq 2000 Elsevier Science B.V. All rights reserved. PII: S 0 1 4 0 - 3 6 6 4 ( 9 9 ) 0 0 1 5 1 - 6

www.elsevier.com/locate/comcom

* Corresponding author. Fax: 1 886-3-5721490. E-mail address: rhjan@cis.nctu.edu.tw (R.-H. Jan)

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mobile stations. However, it wastes unused connections that are prepared only for the MS to handoff. The Source Rout-ing Mobile Circuit (SRMC) ReroutRout-ing [14] uses a tethered point to support handoff during rerouting. The resource allo-cation process in SRMC involves exchanging many signal-ing messages in the network, and this wastes bandwidth. The Yuan–Biswas scheme [15] designates a handoff switch to perform rerouting and it forwards cells to their destina-tions. However, cell forwarding requires cells to be buffered and that is a burden on the network. The Nearest Common Node rerouting (NCNR) [7] uses the common node that is nearest to both ATM switches (i.e. before handoff and after handoff) in two zones to perform rerouting. The NCNR overcomes many drawbacks of the previous strategies, but the path after rerouting may not be the shortest. The meth-ods proposed in this paper resolve both these flaws.

The authors believe that a well-planned network can reduce much of the effort later required to modify and expand the network. The network architecture proposed in this paper has the features of simplicity, modularity, and expandability. Both the proposed network architecture and the rerouting method are used to reduce the overhead (espe-cially the signaling bandwidth) of handoff. A cell-number-ing system, which assigns each cell an integer from 1 to 5

such that neighboring cells have different numbers, is used. Any mobile station that takes a handoff between any two neighboring cells can know what kind of handoff (i.e. intra-zone handoff or inter-intra-zone handoff) it performs by using a simple calculation. Incorporated with the regular topology for ATM networks, the ATM switches can quickly find a minimum hops path for the user connection. Network resources such as switch processing, network bandwidth, and signaling for the exchange of messages will be reduced. The organization of this paper is as follows. Section 2 proposes the network architecture and novel rerouting strat-egy. Section 3 describes the implementation considerations. Section 4 shows the analysis and discussion while Section 5 is the conclusion.

2. Proposed network architecture and rerouting strategy 2.1. Architecture description

A novel, wireless ATM network architecture is shown in Fig. 2. The total area covered by the wireless network is divided into cells. Each cell has the shape of a rectangle or a circle, and is served by a base station (BS). A zone is a cross-shaped area and contains five cells. The zone manager is an ATM switch that is connected to the five BSs and can be at any one of the five cells in a zone. We assigned an integer from 1 to 5 for each BS. The rule of this assignment is that any two neighbors always have different numbers. For simplicity, we designated the ATM switch at cell 1. The ATM switches are connected as in a Manhanttan street graph (see Fig. 3). That is, each switch, except for the switches on the border of the network, is connected to its four neighboring switches.

The rule for numbering BSs is described as follows. 1. Initially, designate a cell as cell 1.

2. The numbering of the other cells can be obtained recur-rently using the following method. For two adjacent cells

a and b, if cell a has been numbered as i, then cell b is

ATM backbone network

ATM Switch ATM Switch ATM Switch base station zone A zone B zone C

Fig. 1. A wireless ATM network.

4 5 1 2 3 1 2 3 d 4 5 3 4 e 5 a 1 b 2 5 1 2 c 3 4 2 3 4 f 5 1 y axis x axis ATM switch (in cell 1) base station zone A zone B

Fig. 2. Proposed network architecture.

(0,3) (0,2) (0,0) (1,0) (1,3) (0,1) y x (1,1) (1,2) (2,0) (2,1) (2,2) (2,3) (3,0) (3,1) (3,2) (3,3) : ATM Switch

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numbered as

jˆ

…i mod 5† 1 1; if cell b is at the right-hand side of cell a;

…i 1 1 mod 5† 1 1; if cell b is above cell a;

…i 1 2 mod 5† 1 1; if cell b is below cell a;

…i 1 3 mod 5† 1 1; if cell b is at the left-hand side of cell a:

: 8 > > > > > < > > > > > :

For example, cells b, c, d and e in Fig. 2 are numbered as cells 2, 3, 4 and 5, respectively. Cell f, which is above cell c, is numbered as 5 (i.e. 5ˆ …3 1 1 mod 5† 1 1†:

After all cells are labeled, it was found that any two neighboring cells had different integers. We assume that each ATM switch was at cell 1. One can connect these ATM switches as a Manhattan street graph. A Cartesian coordinate (x,y) was used to label the ATM switches Table 1

Mapping of the cell change and coordinate change ni21 ni …xi; yI† 2 3 …xi211 1; yi21† 2 4 …xi21; yi211 1† 2 5 …xi211 1; yi21† 3 2 …xI212 1; yi21† 3 4 …xi21; yi211 1† 3 5 …xi21; yi211 1† 4 2 …xi21; yi212 1† 4 3 …xi21; yi212 1† 4 5 …xi211 1; yi21† 5 2 …xi212 1; yi21† 5 3 …xi21; yi212 1† 5 4 …xi212 1; yi21† handoff ( , ) ( , )

To the other end point

handoff

( , )

( , )

To the other end point

handoff

( , )

( , )

To the other end point

( , )

( , )

To the other end point

( , ) ( , )

( , )

( , )

handoff

handoff start message rerouting message

( , -1) ( , )

(a) case 1 (b) case 2

(c) case 3 (d) case 4

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where (x,y) was the location of the switch in the graph. Fig. 3 shows an example of 16 switches in a network.

2.2. Minimum-hop rerouting

Initially, the MS can recognize its location (including cell number n and switch address (x,y)) by a registration process. Assume that the MS at ATM switch …xi21; yi21† and cell number ni21 is moving to a new cell and receives a radio signal containing a new cell number ni from the new BS. Then, MS can determine what kind of handoff it performs and which ATM switch …xi; yi† (present zone manager) it connects to by the following computation:

1. If ni21ˆ 1 or niˆ 1; then the MS performs an intra-zone handoff and…xi; yi† ˆ …xi21; yi21†: That is, the MS moves out or moves in cell 1. The switch that it is connected to does not change.

2. If ni21[ {2; 3; 4; 5} and ni[ {2; 3; 4; 5}; then the MS performs an inter-zone handoff and the new zone manager…xi; yi† can be found from Table 1.

Assume, for example, the MS at switch (2,2), cell 2 (i.e.

ni21ˆ 2 and …xi21; yi21† ˆ …2; 2††; is moving to cell 4. From Table 1, one can find the MS is moving to zone (2,3) (i.e.

…xi; yi† ˆ …xi21; yi211 1† ˆ …2; 3††: In this case, the MS performs an inter-zone handoff.

When an MS moves to a new zone, the route of this connection may need to be changed. The switch at the new zone is responsible for this rerouting. Because the Manhattan street graph is simple and regular, the nearest common node rerouting [7] can be done easier. In Mini-mum-hop rerouting (MHR), one can find a path with mini-mum hops for each ATM connection. For convenience, we denoted a connection between the originating MS and the terminating MS as …x1; y1†; …x2; y2†; …; …xn; yn† where the originating MS connects to switch…x1; y1†; and the

terminat-ing MS connects to switch…xn; yn†: Moreover, assume that

x1 $ xn; y1# yn and…x2; y2† ˆ …x1; y11 1†:

Because rerouting in the intra-zone handoff does not

involve any other ATM switch, the following only discusses rerouting of the inter-zone handoff. When an originating MS is moving to a new zone managed by switch …x0; y0†; the

zone manager…x0; y0† checks the location of switch …x1; y

and performs rerouting. There are four possible cases of rerouting for the MS (see Fig. 4).

1. If x0ˆ x1and y0 , y1(i.e. present switch (x0,y0) is below

(x1,y1)), then switch (x0,y0) informs switch (x1,y1) and

the new connection is setup without any further network involvement. Path …x1; y1†; …x2; y2†; …; …xn; yn† is a minimum-hop path. Thus, the resulting path

…x0; y0†; …x1; y1†; …x2; y2†; …; …xn; yn† is also a minimum-hop path (see Fig. 4(a)).

2. If x0 . x1and y0 ˆ y1(i.e. the present switch (x0,y0) is at

the right-hand side of (x1,y1)), similarly, switch (x0,y0)

informs switch (x1,y1) and the new connection is setup

without any further network involvement. Path

…x0; y0†; …x1; y1†; …x2; y2†; …; …xn; yn† is a minimum-hop path (see Fig. 4(b)).

3. If x0ˆ x1 and y0 . y1 (i.e. the present switch (x0,y0) is

above (x1,y1)), then switch (x0,y0) sends a message to

(x1,y1), relaying the handoff request. Once the handoff

is stable, (x0,y0) deletes the MS connection from itself

to (x1,y1). The rerouting is completed and the new

connection is…x2; y2†; …; …xn; yn† (see Fig. 4(c)).

4. If x0, x1 and y0ˆ y1 (i.e. the present switch (x0,y0) is

at the left-hand side of (x1,y1)), then switch (x0,y0)

sends the handoff start message along the path

…x0; y0†; …x1; y1†; …x2; y2†; …; …xn; yn† until it reaches the first switch …xi; yi† with xiˆ x0: Then switch …xi; yi† is designated as the nearest common node (NCN). The NCN forwards a reroute message to all switches in the path …xi; yi†; …xi; yi2 1†; …xi; yi2 2†; …; …x0; y0†: The

switches that receive the reroute message set up the necessary connection and circuit translation tables. When a rerouting message is received by (x0,y0), a

reroute acknowledgment message is sent from (x0,y0) to

(x1,y1). When the handoff is stable, switch (x1,y1) then

sends a clear connection to (xi,yi) and connection

…x1; y1†; …x2; y2†; …; …xi; yi† is cleared. The new connection

…x0; y0†; …; …xi; yi2 2†; …xi; yi2 1†; …; …xn; yn† is a mini-mum-hop connection (see Fig. 4(d)).

Note that cases 1 and 2 just extend their routes, case 3 is moving back to its previous node, and case 4 needs to construct a new route. For example, consider case 4. As shown in Fig. 5, there is a connection…x1; y1†; …; …xn; yn† ˆ

…3; 2†; …3; 3†; …3; 4†; …2; 4†; …1; 4†; …0; 4† and the MS is moving

from (3,2) to new switch…x0; y0† ˆ …2; 2†: The handoff start

message is sent by (2,2) via path (2,2),(3,2),(3,3),(3,4),(2,4). Switch (2,4) is the NCN because xiˆ x0ˆ 2: Then, (2,4)

sends a rerouting message to (2,2) via path (2,4),(2,3),(2,2). The switches (2,4),(2,3),(2,2) set up the necessary connec-tion and circuit translaconnec-tion tables. Then, (2,2) notifies (3,2) by a reroute acknowledgment message and (3,2) sends a clear connection to (2,4) to clear the connection

(0,4) (1,4) (0,0) (2,4) (2,3) (2,2)

handoff start message handoff (3,4) (3,3) (3,2) rerouting message 1. 2. 3.

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(3,2),(3,3),(3,4),(2,4). That is, after rerouting, the new connection (2,2),(2,3),(2,4),(1,4),(0,4) is established.

3. Implementation

This section proposes an implementation of the MHR in the ATM switch. Assume that each switch (x,y) has at least nine ports (see Fig. 6). We assigned ports 1, 2, 3, 4, and 5 to connect BSs 1, 2, 3, 4 and 5, respectively. Then assign ports 6, 7, 8 and 9 to connect switches …x; y 1 1†; …x 1 1; y†;

…x; y 2 1† and …x 2 1; y†; respectively. Every ATM switch

contains a circuit translation table for performing cell rout-ing. The circuit translation table consists of the incoming virtual connecting number (VCN_in) and incoming port (Port_in) for incoming cells, and also contains the outgoing virtual connection number (VCN_out) and outgoing port (Port_out) for departing cells. The mapping of (VCN_in, Port_in) and (VCN_out, Port_out) is for switching the cells belonging to the virtual connection in this ATM switch. For a virtual connection, from the originating switch through the terminating switch, including the intermediate switches, every switch in the route assists in building the

circuit translation table. The addresses of the ATM switch can be included in the virtual connection number. For exam-ple, in a 4× 4 network, one can use the first five bits ddddd of the virtual connection number to represent switch (x,y) (i.e. we can use the value x× 4 1 y 1 1 to label switch (x,y) and ddddd is the binary number of x× 4 1 y 1 1) and the other bits are assigned by switch when virtual connection is set up. Especially, dddddˆ 00000 represents this switch.

Mobile connection rerouting in a Manhattan street graph is illustrated in Fig. 7. Assume that each switch is equipped with a VCN monitor and translator. Shown in the diagram are the VCNs associated with a single connection that termi-nates at switch (1,1). Suppose the MS connection is initially established in BS 5. The circuit translation tables of switches (1,1) and (0,1) are shown in Table 2.

Then, its ATM cells arrive at port 5 of switch (1,1) bear-ing 00110ddd, and are switched to port 9 where the connec-tion number is translated to 00010ddd. These cells arrive next at port 7 of switch (0,1) and then are switched to port 6 and their connection number is translated to 00011ddd. In the reverse direction, the cells arrive at port 6 of switch (0,1) bearing 00010eee, and are switched to port 7 with their connection number changed to 00110eee. They next arrive at switch (1,1), port 9, and then are switched to port 5 and arrive at base station 5 bearing connection number 00000eee. Upon handing off to base station 1, the MS and base station know that this is an intra-zone handoff. Base station 1 set up a connection to switch (1,1) and then switch (1,1) modifies the circuit translation table (see Table 3) such that the cells arrive at port 1 (port 9) bearing connection number 00110ddd (00110eee) and are switched to port 9 (port 1). Their connection number is translated to 00010ddd (00000eee).

For inter-zone handoffs, consider the MS moves from base station 5 to base station 3. From Table 1, one finds that the MS moves to a new zone managed by switch…x; y 2 1† ˆ …1; 0†: Since the new switch is below switch (1,1), path (1,0),(1,1),(0,1),… is also a path with minimum hops. Thus, switch (1,0) adds a connection to switch (1,1), directly. Two entries are added to the circuit translation table of switch (1,0), one for down stream and the other for up stream, as shown in Table 4. Switch (1,1) changes (VCN_in, Port_in) ˆ (00110ddd,5) and (VCN_out, Port_out) ˆ (00000eee,5) to (VCN_in, Port_in) ˆ (00110ddd,8) and (VCN_out, Port_out) ˆ (00101eee,8), respectively. The upstream for this connection now is 00101ddd,00110ddd, 00010ddd,00011dd,… and downstream is 00011eee, 00010eee,00101eee,00000eee.

4. Analysis and discussion

This section compares the MHR method with another up-to-date, best rerouting scheme. We used the same measure-ment characterizing method and simplifying measuremeasure-ment approach as in Ref. [7] for comparing with the NCNR

port port 1 2 4 3 5 6 7 8 9 BS1 BS2 BS3 BS4 BS5 switch (x,y) to switch (x,y+1) to switch (x+1,y) to switch (x,y-1) to switch (x-1,y)

Fig. 6. An example of port layout for an ATM switch.

3 4 3 4 3 3 5 2 2 5 2 2 2 2 3 3 5 5 5 5 4 4 4 4 (0,2) (1,2) (0,1) (1,1) (0,0) (1,0) 1 1 1 1 1 1 intra-zone handoff inter-zone handoff

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instead of simulating a WAN by software simulator or hardware emulator. Because the rerouting scheme of MHR is similar to the NCNR scheme in a flat network, the number signaling messages exchanged during handoff (Nh) and number of signaling messages exchanged for

rerouting during a handoff (Nr) are the same. However,

MHR always keeps the connection with minimum hops but NCNR does not. In MHR, when the MS is moving to a new cell, it only has to listen to the cell number broadcast by BS and to immediately determine the new ATM switch address. Using the new ATM switch address, a new route for handoff can be more easily obtained. This reduces the time spent in finding a new route for handoff and the effort spent in previous and candidate switches.

Consider the average number of network nodes involved in rerouting (Nn) for MHR. Assume that any

MS is equally likely to be found within any radio cell and the MS is moving from cell ni21 to cell ni: Note that the MS performs an intra-zone handoff when ni21ˆ 1 or niˆ 1: The MS moves from cell 1 with a probability of 1

5 and the probability for MS moving into cell 1 is 4

5 ×

1

4: Then, an intra-zone handoff occurs with a probability

of 2 5 (i.e. 1 5 1 4 5 × 1

4.) The number of network nodes

involved in rerouting for an intra-zone handoff is 1 and the numbers of network nodes involved in rerouting for cases 1, 2, 3 and 4 are 2, 2, 2, and D1, respectively, where D1is a mean number of hops changed in the new path. Thus,

Nncan be written as Nnˆ 2 5 × 1 1 3 5 3 4 × 2 1 1 4 × D1   ˆ 1:3 1 3 20D1 In NCNR, Nn ˆ 2 for direct links while Nnˆ 4 1 D2for no

direct links where D2 is the average number of hops from

candidate switch to NCN. It depends on the network topology. In MHR, there is only one connection used for rerouting (i.e. Ncˆ 1) and only basic bandwidth is allocated for the

user connection, denoted as Bˆ 1: The values of these two parameters are the same as NCNRs. These parameters are summarized in Table 5.

In the proposed network architecture, limiting the ATM networks with regular structure may not meet the traffic demand. However, the proposed network does work well Table 2

The circuit translation tables of switches (1,1) and (0,1)

Switch (1,1) Switch (0,1)

VCN_in Port_in VCN_out Port_out VCN_in Port_in VCN_out Port_out

00110ddd 5 00010ddd 9 00010ddd 7 00011ddd 6

00110eee 9 00000eee 5 00010eee 6 00110eee 7

Table 3

The circuit translation tables of switches (1,1) and (0,1) after an intra-zone handoff

Switch (1,1) Switch (0,1)

VCN_in Port_in VCN_out Port_out VCN_in Port_in VCN_out Port_out

00110ddd 1 00010ddd 9 00010ddd 7 00011ddd 6

00110eee 9 00000eee 1 00010eee 6 00110eee 7

Table 4

The circuit translation tables of switches (1,1), (0,1) and (1,0) after an inter-zone handoff

Switch (1,1) Switch (0,1) Switch (1,0)

VCN_in Port_in VCN_out Port_out VCN_in Port_in VCN_out Port_out VCN_in Port_in VCN_out Port_out

00110ddd 8 00010ddd 9 00010ddd 7 00011ddd 6 00101ddd 3 00110ddd 6

00010eee 9 00101eee 8 00011eee 6 00010eee 7 00101eee 6 00000eee 3

Table 5

Comparing rerouting algorithms

Measure MHR NCNR NCNR

Direct link No direct link

Nh 7 7 9

Nr 2 2 4

Nn 1:3 1203D1 2 41 D2

Nc 1 1 1

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in some situations, particularly those with uniform traffic or delay-sensitive traffic.

5. Conclusion

In the wireless ATM network, a well-planned network is required to reduce the impact of handoffs. The next-genera-tion PCS network will support multimedia applicanext-genera-tions to mobile subscribers. Thus, networks must use the simplest and most efficient strategy to perform the rerouting during the handoff. This paper proposes a new architecture for how a wireless ATM network should be deployed and a simple but efficient strategy on how the ATM switches should perform rerouting. In this strategy, the number of signaling messages exchanged among the MS and ATM switches are fewer than those of other strategies. This means that rerout-ing is much quicker and easier to implement, thus meetrerout-ing the requirements of high-speed ATM networks.

References

[1] D. Raychaudhuri, N. Wilson, ATM based transport architecture for multiservices wireless personal communication networks, IEEE J. Sel. Areas Commun. 12 (1994) 1401–1414.

[2] B.A. Akyol, D.C. Cox, Handling mobility in a wireless ATM network, Proceedings of INFOCOM’96, San Francisco, CA, 1996, pp. 24–28.

[3] R.R. Gejji, Mobile multimedia scenario using ATM and microcellular technologies, IEEE Trans. Vehicle Tech. 43 (1994) 699–703. [4] A. Acharya, A prototype architecture for mobile ATM networks,

http://www.ccrl.nj.nec.com/paper/97-N-004.

[5] E. Ayanoglu, Wireless broadband and ATM systems, Computer Networks 31 (1999) 395–409.

[6] J. Naylon, D. Gilmurray, J. Porter, A. Hopper, Low-latency handover in a wireless ATM LAN, IEEE J. Sel. Areas Commun. 16 (1998) 909–921.

[7] B.A. Akyol, D.C. Cox, Rerouting for handoff in a wireless ATM network, IEEE Personal Commun. October (1996) 26–33. [8] A.S. Acampora, M. Nagshineh, An architectures and methodology for

mobile-executed handoff in cellular ATM networks, IEEE J. Sel. Areas Commun. 12 (1994) 1365–1375.

[9] B.A.J. Banh, G.J. Anido, E. Dutkiewicz, Handover re-routing schemes for connection oriented services in mobile ATM networks, Proceedings of INFOCOM’98, San Francisco, CA, 1998, pp. 1139– 1146.

[10] S. Choe, Y. Kim, J. Kim, K. Chae, Y. Mun, Rerouting scheme for handoff in wireless ATM, Electron. Lett. 34 (1998) 1076–1077. [11] B. Rajagopalan, Mobility management in integrated wireless-ATM

network, ACM-Baltzer J. Mobile Net. Appl. 1 (1996) 273–285. [12] C.-K. Toh, A hybrid handover protocol for local area wireless ATM

networks, ACM-Baltzer J. Mobile Net. Appl. 1 (1996) 313–334. [13] U. Varshney, Two connection re-routing schemes for wireless ATM

environement, Proceedings of ICUPC’97, San Diego, CA, 1997, pp. 733–737.

[14] O.T.W. Yu, V.C.M. Leung, B-ISDN architectures and protocols to support wireless personal communications internetworking, Proceed-ings of PIMRC’95, Toronto, Canada, September 1995, pp. 27–29. [15] R. Yaun, et al., Mobility support in a wireless ATM network,

Proceedings of Fifth Workshop on Third Generation Wireless Infor-mation Networks, pp. 335–345, 1995.

數據

Fig. 3. Addressing of ATM switches (an example f 16 switches)
Fig. 4. Four possible cases of rerouting.
Fig. 5. An example of rerouting.
Fig. 7. An example of intra-zone handoff and inter-zone handoff.

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As the result, I found that the trail I want can be got by using a plane for cutting the quadrangular pyramid, like the way to have a conic section from a cone.. I also found