CN102006677A - New technique for constructing high-connectivity wireless multi-hop ad hoc network topology - Google Patents

New technique for constructing high-connectivity wireless multi-hop ad hoc network topology Download PDF

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CN102006677A
CN102006677A CN2010105678925A CN201010567892A CN102006677A CN 102006677 A CN102006677 A CN 102006677A CN 2010105678925 A CN2010105678925 A CN 2010105678925A CN 201010567892 A CN201010567892 A CN 201010567892A CN 102006677 A CN102006677 A CN 102006677A
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centerdot
dbbd
block design
network
node
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朱西平
闫浩文
文红
李麒
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Chengdu University of Information Technology
Chengdu Information Technology Co Ltd of CAS
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Chengdu Information Technology Co Ltd of CAS
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Abstract

The invention provides a network topology construction method of a wireless multi-hop ad hoc network based on a block design. In the method, the mode based on DBBD (k (k+1)/1, k+1, 2, k and 1) is adopted to construct the corresponding topology. The topology constructed by adopting the block design can effectively reduce the amount of the connecting weight so that the balance symmetry of the linkage closeness of each node is maintained and any two nodes can exchange the step number transfer message by using less information, and the topology constructed by adopting the block design can reach the important basic requirements of improving the network capacity, enhancing the network coverage and the scalability of the network and the like when the network is planned.

Description

Construct high connectivity wireless multi-hop MANET topology new technology
Technical field
The invention belongs to the communications field, as radio communication, mobile communication, the Wireless Mesh network network interconnection technique in field such as communicate by letter with wireless sensor network.
Background technology
The wireless multi-hop MANET does not rely on any existing network infrastructure, and it is a series of equipment radio communication devices, have the set of the equipment of networked capabilities.By the wireless mode interconnection, the node in the network dynamically and arbitrarily distributes between the node.Research about the wireless multi-hop MANET has caused extensive concern and research at present, and forms two kinds of concrete forms of present broad research and application: Wireless Mesh network and wireless sensor network.In the research of wireless multi-hop MANET and a basic problem in the application is the connectivity problem, if network all is unconnected, all business are not all known where to begin so, and the network of being set up is with meaningless.It relates to the many aspects in the network, comprises two aspects of node and network, and the while is with topology control and construct closely related.
Block design has important function aspect the topological structure of network, this patent provides a kind of network topology building method of the wireless multi-hop MANET based on block design, this method adopts based on DBBD (k (k+1)/2, k+1,2, k, 1) mode is constructed corresponding topology, the topology of structure can reduce the connection weight number effectively, makes the keep in touch balanced symmetry of tightness degree of each node, and any two nodes all can transmit message with less information exchange step number.
Summary of the invention
This patent provides a kind of network topology building method of the wireless multi-hop MANET based on block design.
Block design is the very local type connection network of symmetrical equilibrium of a kind of network topology structure, when significantly reducing the connection flexible strategy, can also keep having between each node the essentially identical coupling contact of tightness degree.
For N node network is arranged, add up to W as its connection weight s, network coupled degree then
Figure BSA00000368205900011
If S is for comprising label 1,2,----, the element set of v, B={B 1, B 2,----, B bBe the set of the k-subclass of S, r is the k-number of subsets that comprises any element, then S, B} constitutes block design, and:
1), to any a pair of element i, j (i, j=1,2,----, v, i ≠ j), λ is arranged eIndividual district group (being subclass) comprises them simultaneously, then is called balanced Incomplete Block Designs (Balanced Incomplete Block Design), and note is made BIBD (v, b, r, k, λ e);
2), to any a pair of district group i, j (i, j=1,2,----, b, i ≠ j), λ is arranged bIndividual element is identical, and k-λ is arranged in other words bIndividual element is different, then is called the balanced block design of different unit (Different Balanced Block Design), and note is made DBBD (v, b, r, k, λ b);
3) if two conditions top (1), in (2) are met simultaneously, i.e. λ e=λ bDuring=λ, then be called symmetrical equilibrium Incomplete Block Designs (Symmetric Balanced Incomplete Block Design), and be designated as SBIBD (v, b, r, k, λ) and since this moment perseverance v=b is arranged, r=k, then the brief note for SBIBD (v, k, λ).There is (wherein k is a natural number) in DBBD (k (k+1)/2, k+1,2, k, 1).
The invention provides network topology building method based on the wireless multi-hop MANET of DBBD (k (k+1)/2, k+1,2, k, 1).This method has the following steps:
The step 1 general (k (k+1)/2 node uses 1,2 respectively, and----, (k (k+1)/2 represents.Obtain following matrix
B = 1 2 3 · · · k 1 k + 1 k + 2 · · · 2 k - 1 2 k + 1 2 k · · · 3 k - 3 · · · · · · · · · · · · · · · k 2 k - 1 3 k - 3 · · · k ( k + 1 ) / 2 - - - ( 1 )
Step 2 with the every row of matrix as district's group.For example: when k=7, obtain following matrix:
B = 1 2 3 4 5 6 7 1 8 9 10 11 12 13 2 8 14 15 16 17 18 3 9 14 19 20 21 22 4 10 15 19 23 24 25 5 11 16 20 23 26 27 6 12 17 21 24 26 28 7 13 18 22 25 27 28 - - - ( 2 )
As district's group, therefore obtain the block design of DBBD (k (k+1)/2, k+1,2, k, 1)=DBBD (28,8,2,7,1) by the every row of matrix.
The network topology of step 3 structure wireless multi-hop MANET, through type (2) structure DBBD (28,8,2,7,1) its topology as shown in Figure 1, it connects flexible strategy Ws=8 * 21=168 when subnet is totally interconnected form, C=6, and any two node maximum information exchange step number is 2; When adopting SBIBD (7,3,1) block design type of attachment as subnet, it connects flexible strategy Ws=8 * 14=112, C=4, and any two node maximum information exchange step number is 4.Therefore adopt block design structure topology can reduce the connection weight number effectively, make the keep in touch balanced symmetry of tightness degree of each node, make any two nodes all can transmit message with less information exchange step number.Adopt the k-DBBD (k (k+1)/2, k+1,2, k, 1) of totally interconnected form to have following character to subnet simultaneously:
1) k-DBBD is that the node degree of communication is the regular graph of 2 (k-1).
2) total linking number is among the k-DBBD
Figure BSA00000368205900031
Redundancy is
Figure BSA00000368205900032
(N=k (k+1)/2 represents number of network node).
3) diameter of k-DBBD is 2, and average shortest path length is
Figure BSA00000368205900033
Description of drawings
The wireless multi-hop MANET network topological diagram of Fig. 1: DBBD (28,8,2,7,1) structure
It connects flexible strategy Ws=8 * 21=168 when subnet is totally interconnected form, C=6, and any two node maximum information exchange step number is 2.
Embodiment
For example: when k=7, obtain following matrix:
B = 1 2 3 4 5 6 7 1 8 9 10 11 12 13 2 8 14 15 16 17 18 3 9 14 19 20 21 22 4 10 15 19 23 24 25 5 11 16 20 23 26 27 6 12 17 21 24 26 28 7 13 18 22 25 27 28
As district's group, therefore obtain the block design of DBBD (k (k+1)/2, k+1,2, k, 1)=DBBD (28,8,2,7,1) by the every row of matrix.Through type (2) is constructed its topology of DBBD (28,8,2,7,1) as shown in Figure 1, and it connects flexible strategy Ws=8 * 21=168 when subnet is totally interconnected form, C=6, and any two node maximum information exchange step number is 2; When adopting SBIBD (7,3,1) block design type of attachment as subnet, it connects flexible strategy Ws=8 * 14=112, C=4, and any two node maximum information exchange step number is 4.

Claims (3)

1. the invention provides a kind of network topology building method of the wireless multi-hop MANET based on block design, this method adopts based on DBBD (k (k+1)/2, k+1,2, k, 1) mode is constructed corresponding topology, and the topology of structure can reduce the connection weight number effectively, make the keep in touch balanced symmetry of tightness degree of each node, any two nodes all can transmit message with less information exchange step number.
2. the network topology building method of a kind of wireless multi-hop MANET based on block design according to claim 1 comprises following step:
The balanced block design of the different unit of step 1 (Different Balanced Block Design) DBBD (k (k+1)/2, k+1,2, k, 1) exists, will (k (k+1)/2 node uses 1,2 respectively, and----, (k (k+1)/2 represents.Obtain following matrix
B = 1 2 3 · · · k 1 k + 1 k + 2 · · · 2 k - 1 2 k + 1 2 k · · · 3 k - 3 · · · · · · · · · · · · · · · k 2 k - 1 3 k - 3 · · · k ( k + 1 ) / 2 - - - ( 1 )
Step 2 with the every row of matrix as district's group.For example: when k=7, obtain following matrix:
B = 1 2 3 4 5 6 7 1 8 9 10 11 12 13 2 8 14 15 16 17 18 3 9 14 19 20 21 22 4 10 15 19 23 24 25 5 11 16 20 23 26 27 6 12 17 21 24 26 28 7 13 18 22 25 27 28 - - - ( 2 )
As district's group, therefore obtain the block design of DBBD (k (k+1)/2, k+1,2, k, 1)=DBBD (28,8,2,7,1) by the every row of matrix.
The network topology of step 3 structure wireless multi-hop MANET, through type (2) structure DBBD (28,8,2,7,1) it carries out the topological structure of network, it connects flexible strategy Ws=8 * 21=168 when subnet is totally interconnected form, C=6, any two node maximum information exchange step number is 2, subnet is adopted the k-DBBD (k (k+1)/2 of totally interconnected form, k+1,2, k, 1) have following character:
1) k-DBBD is that the node degree of communication is the regular graph of 2 (k-1).
2) total linking number is among the k-DBBD
Figure FSA00000368205800013
Redundancy is
Figure FSA00000368205800014
(N=k (k+1)/2 represents number of network node).
3) diameter of k-DBBD is 2, and average shortest path length is
3. the network topology building method of a kind of wireless multi-hop MANET based on block design according to claim 1 can be by balanced Incomplete Block Designs (Balanced Incomplete Block Design) BIBD (p 2, p (p+1), p+1, p, 1) and structure.
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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1893377A (en) * 2005-07-05 2007-01-10 中国人民解放军信息工程大学 Routing method of hybrid network formed by honeycomb network and self-combining network
CN101047638A (en) * 2006-06-28 2007-10-03 华为技术有限公司 Mesh network route method and device
CN101577954A (en) * 2009-04-30 2009-11-11 南京正保通信网络技术有限公司 Wireless multi-hop ad hoc network communication method

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1893377A (en) * 2005-07-05 2007-01-10 中国人民解放军信息工程大学 Routing method of hybrid network formed by honeycomb network and self-combining network
CN101047638A (en) * 2006-06-28 2007-10-03 华为技术有限公司 Mesh network route method and device
CN101577954A (en) * 2009-04-30 2009-11-11 南京正保通信网络技术有限公司 Wireless multi-hop ad hoc network communication method

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
《计算机工程与设计》 20080331 朱西平等 "基于区组设计无线Mesh网拓扑构造研究" 第1150-1151,1234页 1-3 第29卷, 第5期 *
朱西平等: ""基于区组设计无线Mesh网拓扑构造研究"", 《计算机工程与设计》 *

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Application publication date: 20110406