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The basic principle is to send a signal down the cable and then study the reflected signal back. If the cable is sound without any intermittent faults or arc faults then the reflected signal will be exactly the same as the sent signal. If the cable is not sound, the reflected signal will be 'altered'. By studying the exact location of the alteration, a time domain reflectometer can help identify the exact location of the fault.

A more technical, academically reviewed paper with diagrams on how the reflected signal is changed can be found at http://livewiretest.com/analysis-of-spread-spectrum-time-domain-reflectometry-for-wire-fault-location

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