2012
DOI: 10.1007/978-3-642-31638-8_3
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Distributed Geometric Distance Estimation in Ad Hoc Networks

Abstract: Abstract. Distributed localization algorithms for nodes in ad hoc networks are essential for many applications. A major task when localizing nodes is to accurately estimate distances. So far, distance estimation is often based on counting the minimum number of nodes on the shortest routing path (hop count) and presuming a fixed width for one hop. This is prone to error as the length of one hop can vary significantly. In this paper, a distance estimation method is proposed, which relies on the number of shared … Show more

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Cited by 9 publications
(8 citation statements)
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“…Most localization solutions use ranging techniques based on measurements provided by the hardware: the angle of arrival (AoA), the time of flight (ToF), the RSSI [6], or the phase difference between transmitter and receiver [7]. A second class of localization approaches uses network topology [8] or neighborhood correlation [9] information to estimate the distance between nodes.…”
Section: Related Workmentioning
confidence: 99%
“…Most localization solutions use ranging techniques based on measurements provided by the hardware: the angle of arrival (AoA), the time of flight (ToF), the RSSI [6], or the phase difference between transmitter and receiver [7]. A second class of localization approaches uses network topology [8] or neighborhood correlation [9] information to estimate the distance between nodes.…”
Section: Related Workmentioning
confidence: 99%
“…In [27], the hop-count based weighted centroid localization algorithm is improved by adding the node degree on the paths to the referenced anchors into the weights. Merkel et al uses the whole neighbor set information of a particular node to approximate its distance to each neighbor geometrically [6].…”
Section: Related Workmentioning
confidence: 99%
“…However, it is not a cost-effective approach to equip each ad-hoc node with GPS receivers [4][5][6].…”
Section: Introductionmentioning
confidence: 99%
“…An empirical method for deriving the distance from the ratio between the number of common neighbors between two nodes and the total number of nodes in their neighborhoods has been proposed by Villafuerte et al [9], while an analytical evaluation for this mapping has been obtained by means of a first order Taylor series expansion [10]. Finally, Merkel et al proposed an alternative derivation of the distance from the above mentioned ratio using regression [11]. In general, these methods restrict distance estimation to couples of neighboring nodes.…”
Section: Introductionmentioning
confidence: 99%
“…For instance, Merkel et al proposed a distributed algorithm for extending the computation to non-neighboring (i.e. out of radio-range) nodes [11]. The algorithm essentially works by firstly computing estimates among communicating nodes and then by propagating this information along shortest paths.…”
Section: Introductionmentioning
confidence: 99%