Node localization in communication networks
First Claim
1. A method for deriving node localization information within a distributed communication network, the distributed communication network comprising a plurality of sub-networks, each sub-network having a plurality of nodes, wherein said nodes are separated by paths, the method comprising:
- setting not less than one value for a local mapping range;
computing local maps for each sub-network within the distributed communication network by;
estimating the shortest path between a plurality of pairs of the nodes in the sub-network,constructing a matrix, wherein said matrix includes said estimated shortest paths,applying multidimensional scaling to said matrix and identifying the eigenvectors corresponding to the largest eigenvalues, andconstructing a local map of the location of said plurality of pairs of nodes within the sub-network utilizing said eigenvectors;
merging the local maps for each sub-network to form a relative map for the distributed communication network; and
transforming the distributed communication network relative map to an absolute map for the distributed communication network,wherein each of the sub-networks includes a local map having not less than one pair of the plurality of pairs of nodes within the distributed communication network.
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Abstract
Disclosed herein is a method for deriving node localization information within communication networks having a plurality of nodes, which are separated by node paths. The method includes estimating the shortest path between multiple pairs of nodes in the network and constructing a matrix encompassing the estimated shortest paths. Multidimensional scaling is then applied to the matrix and the largest eigenvectors of the transformed matrix are identified. From this is constructed a relative map of the location of the pairs of nodes within the network by utilization of the eigenvectors.
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Citations
27 Claims
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1. A method for deriving node localization information within a distributed communication network, the distributed communication network comprising a plurality of sub-networks, each sub-network having a plurality of nodes, wherein said nodes are separated by paths, the method comprising:
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setting not less than one value for a local mapping range; computing local maps for each sub-network within the distributed communication network by; estimating the shortest path between a plurality of pairs of the nodes in the sub-network, constructing a matrix, wherein said matrix includes said estimated shortest paths, applying multidimensional scaling to said matrix and identifying the eigenvectors corresponding to the largest eigenvalues, and constructing a local map of the location of said plurality of pairs of nodes within the sub-network utilizing said eigenvectors; merging the local maps for each sub-network to form a relative map for the distributed communication network; and transforming the distributed communication network relative map to an absolute map for the distributed communication network, wherein each of the sub-networks includes a local map having not less than one pair of the plurality of pairs of nodes within the distributed communication network. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26)
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27. An article of manufacture comprising a computer usable recording medium having computer readable program code embodied in said recording medium which, when said program code is executed by said computer causes said computer to perform method steps for deriving node localization information within a communication network, the communication network comprising a plurality of sub-networks, each sub-network having a plurality of nodes, wherein the nodes are separated by paths, the method comprising:
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setting not less than one value for a local mapping range; computing local maps for each sub-network within the distributed communication network by; estimating the shortest path between a plurality of pairs of the nodes in the sub-network; constructing a matrix, wherein said matrix includes said estimated shortest paths, applying multidimensional scaling to said matrix and identifying the eigenvectors corresponding to the largest eigenvalues, and constructing a local map of the location of the plurality of pairs of nodes within the sub-network utilizing said eigenvectors; merging said local maps for each sub-network to form a relative map for the distributed communication network; and transforming the distributed communication network relative map to an absolute map for the distributed communication network, wherein each of the sub-networks includes a local map having not less than one pair of the plurality of pairs of nodes within the distributed communication network.
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Specification