11.4. Necessary and Sufficient Conditions for Crosstalk Attack Detection
In this section, we first prove that we can localize all crosstalk attacks in an AON with sparse monitors. Initially, we focus on a special situation where only one crosstalk attack exists on each wavelength in the whole network. Later, we extend this result to a general case where more than one crosstalk attack exists on a wavelength. This work is based on the general principle theory of system level diagnosis [24, 25].
11.4.1. Single Crosstalk Attack in a Network
A network is called one-OAF diagnosable if a single OAF can always be detected and localized. For a given graph G(V, E), let M denote the set of monitor nodes, and let N denote the set of nonmonitor nodes,
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