LEAKAGE LOCATION METHODS
A method of determining the location and/or amplitude of a leakage signal from a network includes measuring at various times and locations leakage believed to be associated with the leakage signal and constructing a data base of leakages and associated locations. Leakage signal values are selected from the data base. Each of the selected leakage signal values is multiplied by a locus of points on which a leakage signal associated with that respective signal strength may be assumed to reside in order to develop a number of relationships among leakage signal strength, leakage and location. A first pair of these relationships among leakage signal strength, leakage and location is solved for a first locus of points common to the first pair. A second pair of these relationships among leakage signal strength, leakage and location is solved for a second locus of points common to the second pair. The first and second loci are projected onto a common surface, and an intersection of the thus-projected first and second loci on the common surface is determined.
1 . A method of determining the location of a leakage signal from a network, the method including measuring at various times and locations leakage believed to be associated with the leakage signal, constructing a data base of leakages and associated locations, selecting from the data base a number of leakage values, multiplying each of the selected leakage signal value times a locus of points on which a leakage signal associated with that respective signal strength may be assumed to reside to develop a number of relationships among leakage signal strength, leakage and location, solving a first pair of these relationships among leakage signal strength, leakage and location for a first locus of common points to the first pair, solving a second pair of these relationships among leakage signal strength, leakage and location for a second locus of common points to the second pair, projecting the first and second loci onto a common surface, and determining the intersection of the first and second loci on the common surface.
2 . The method of claim 1 further including determining the strength of the leakage signal by substituting the intersection of the first and second loci on the common surface back into a selected relationship among leakage signal strength, leakage and location and solving for the strength of the leakage signal.
3 . The method of claim 1 wherein solving a first pair of these relationships among leakage signal strength, leakage and location for a first locus of common points to the first pair and solving a second pair of these relationships among leakage signal strength, leakage and location for a second locus of common points to the second pair together comprise selecting a location about which the solutions are to be normalized and solving the first and second pairs of the relationships about the location about which the solutions are to be normalized.
4 . The method of claim 1 wherein solving a first pair of these relationships among leakage signal strength, leakage and location for a first locus of common points to the first pair and solving a second pair of these relationships among leakage signal strength, leakage and location for a second locus of common points to the second pair, and projecting the first and second loci onto a common surface together comprise converting an angular distance into a linear distance.
5 . The method of claim 4 wherein converting an angular distance into a linear distance comprises using a table to convert an angular distance into a linear distance.
6 . The method of claim 4 wherein converting an angular distance into a linear distance comprises calculating a linear distance from an angular distance.
7 . A method of determining the amplitude of a leakage signal from a network, the method including measuring at various times and locations leakage believed to be associated with the leakage signal, constructing a data base of leakages and associated locations, selecting from the data base a number of leakage values, multiplying each of the selected leakage signal value times a locus of points on which a leakage signal associated with that respective signal strength may be assumed to reside to develop a number of relationships among leakage signal strength, leakage and location, solving a first pair of these relationships among leakage signal strength, leakage and location for a first locus of common points to the first pair, solving a second pair of these relationships among leakage signal strength, leakage and location for a second locus of common points to the second pair, projecting the first and second loci onto a common surface, and determining the intersection of the first and second loci on the common surface.
8 . The method of claim 7 further including determining the strength of the leakage signal by substituting the intersection of the first and second loci on the common surface back into a selected relationship among leakage signal strength, leakage and location and solving for the strength of the leakage signal.
9 . The method of claim 7 wherein solving a first pair of these relationships among leakage signal strength, leakage and location for a first locus of common points to the first pair and solving a second pair of these relationships among leakage signal strength, leakage and location for a second locus of common points to the second pair together comprise selecting a location about which the solutions are to be normalized and solving the first and second pairs of the relationships about the location about which the solutions are to be normalized.
10 . The method of claim 7 wherein solving a first pair of these relationships among leakage signal strength, leakage and location for a first locus of common points to the first pair and solving a second pair of these relationships among leakage signal strength, leakage and location for a second locus of common points to the second pair, and projecting the first and second loci onto a common surface together comprise converting an angular distance into a linear distance.
11 . The method of claim 10 wherein converting an angular distance into a linear distance comprises using a table to convert an angular distance into a linear distance.
12 . The method of claim 10 wherein converting an angular distance into a linear distance comprises calculating a linear distance from an angular distance.