In this invention, a method is proposed to find relative location of fixed base stations in the network; only distance information between some subscriber terminals and base stations are known if it is within the range. One part of the embodiment proposes a method to localize base stations. Another embodiment of this invention proposes a method to locate terminals along with base stations. Final embodiment of this invention proposes a method in an OFDMA/TDMA network in which there is a single channel which is used by all base stations. Method achieves frequency reuse close to 1 by using a resource in a direction that does not conflict with others by the help of electronically steerable antennas and position information.
The method and system proposed in this invention can be generalized to three dimensional space in which base stations and terminals are placed in 3-D space.
The objective of the present invention will be more apparent from the following detailed drawings, in which:
We consider a wireless network where there are plurality of terminals (Ts) and plurality of base stations (BSs) and central controller as seen in
A T first scans for the BS in the network entry procedure. In the scanning procedure the T can estimate its distance to a BS. As a result, after the network entry procedure a T has a set of distance estimates for the BSs that are in the vicinity of its range. Distance estimates can be done in various ways including RSSI based estimation, time of flight based estimation.
Based on the collected measurements, the central controller can construct the matrix (C) in Table I. Useful information in C is D matrix. One can see that there is no mechanism to estimate the distances between BSs and the distances between Ts and some distance estimates are censored between Ts and BSs because of the range limitations.
For simplicity, we describe two-dimensional localization. However, our algorithm extends straightforwardly to three dimensions. We define a cluster as a set of four or more BSs, and a set of Ts such each Ts is connected to at least two of these BSs. A Ts is connected to a BS when it is in its communication range.
The algorithm can be broken down into three main phases. The first phase localizes the elements of clusters, BSs and Ts, into a local coordinate system. The second phase finds the relative positions among clusters and computes coordinate transformations between each cluster's local coordinate systems and generates a unique global coordinate system. The third phase refines the localization of the clusters using the periodical updates sent by the Ts. An example is depicted in
The three phases of the algorithm are as follows:
Phase I. Cluster Localization: A BS becomes the origin of the local coordinate system of a cluster and the algorithm estimates the relative location of the neighboring BSs which can be unambiguously localized. We call this process cluster localization. For each cluster, we identify the sets of possible positions of the BSs given the distance estimates reported by the Ts. The Ts and BSs's positions are jointly estimated. The figure below exemplifies the cluster localization for three base stations and five terminals.
Phase II. Cluster Transformation. The algorithm finds the set of BSs in common between two clusters. In the next step, the remaining BSs belonging to the two clusters are localized relative to the known positions using trilateration. Finally, the algorithm computes transformations between the local coordinate systems of neighboring clusters.
Phase III. Cluster Optimization. Refine the position estimates for each cluster using the periodical updates sent by Ts. This phase reduces and any accumulated error that results from the incremental approach used in the second phase.
The goal of cluster localization is to compute the position of a cluster of BSs and Ts in a local coordinate system up to a global rotation and possible reflection. The algorithm provides that the relative positions of the nodes in a cluster are unique up to a global rotation, translation, and reflection. Using this property any two clusters sharing three BSs form a larger cluster that is also globally rigid. By induction, any number of clusters chained in this manner forms a globally rigid graph.
The algorithm for Phase I, cluster localization, is as follows:
1. The central controller identifies a cluster of nc (nc>4) BSs. Given D, all the distance estimates dij involving to BSs in the cluster are selected. Let mc (<m) be the number of Ts connected to the mc BSs. This corresponds to performing rows and columns operations on D in order to find all the submatrices Dc of dimension mc×nc whose elements are not all different form zero. For simplicity, Ts with only one connectivity are neglected.
2. We define a relative coordinate system for the cluster, where BS1 is at the origin and MS1 is arbitrarily placed at location (Dc11,0).
3. Localizing BSs in clusters: the relative positions of the BSs in each cluster are estimated using uniquely the distance estimates in Dc. Algorithm 1 accomplishes this task. We define estMSj as the set of possible locations for MSj, j=1, 2, . . . , mc that are consistent with Dc. Similarly, define estBSi as the set of possible locations for BSi, i=1, 2, . . . , nc that are consistent with Dc. Algorithm 1 proceeds by progressively excluding from these sets points that are not consistent with the matrix Dc.
When the connectivity is high enough, the relative positions of the BSs are unique up to a global rotation, translation and reflection.
In Phase II, the algorithm localizes the relative positions among clusters by chaining together clusters as seen in
Distance updates periodically sent by Ts can be used to improve the localization performance of the previous two phases. As time goes on, the distance estimates for each graph increase. The central controller can store all the updates in a database, and Phase I and Phase II can be periodically re-computed with the updated information. Since the base station locations are fixed the computed output shall be fed as an input to do fine tuning.
Once the base station locations are fixed, then terminal's position can be found by triangulation. Terminals that have at least three estimates have enough information to find the location.
However, for terminal 2 in
Frequency Reuse with Steerable Antenna Along with Locationing
In OFDMA/TDMA network, interference region between base stations can be avoidable by defining non-overlapping regions inside the given resource. A resource is considered as a collection of slots which are mapped into frequency and symbol axis. Non-overlapping regions can be constructed in the central controller via global knowledge of the topology to be assigned to different base stations which are sharing a terminal which is in the interference region of theirs. In this way, same resource can be used across the network by all base stations but they do use or blank out some regions according to the occupancy in their interference regions. In this way frequency reuse is close to unity.
When an electronically steerable antenna is available along with the locationing information of each terminal, frequency reuse of unity is achieved via single channel across network by directing non-overlapping resources to different terminals. If there is a conflicting node which is in the vicinity of BS1 and BS2. If BS1 uses a resource for that conflicting node, BS2 is allowed to use that resource only in a location different than the location of that conflicting node consequently which guarantees no interference with BS1's transmission. As a result, all resources are put to use but they are used with respect to geographical location of terminals.
An example is shown in
The description presented above only includes some but not all embodiments of the invention. Related other ways of managing three dimensional spectrum management to achieve high spectral efficiency may be devised without departing from the original scope of this invention, and are thus include by the present invention.
This non-provisional application is claiming the priority date of an earlier-filed U.S. provisional application Ser. No. 60/753,452 filed on Dec. 22, 2005 under 35 U.S.C. §119(e)
Number | Date | Country | |
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60753452 | Dec 2005 | US |