Time-domain reflectometry

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Time-domain reflectometry or TDR is a measurement technique used to determine the characteristics of electrical lines by observing reflected waveforms. Time-domain transmissometry (TDT) is an analogous technique that measures the transmitted (rather than reflected) impulse. Together, they provide a powerful means of analysing electrical or optical transmission media such as coaxial cables and optical fibers.

The amplitude of the reflected signal can be determined from the impedance of the discontinuity. The distance to the reflecting impedance can also be determined from the time that a pulse takes to return. The limitation of this method is the minimum system rise time. The total rise time consists of the combined rise time of the driving pulse and that of the oscilloscope that monitors the reflections.

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The TDR analysis begins with the propagation of a step or impulse of energy into a system and the subsequent observation of the energy reflected by the system. By analyzing the magnitude, duration and shape of the reflected waveform, the nature of the impedance variation in the transmission system can be determined.

If a pure resistive load is placed on the output of the reflectometer and a step signal is applied, a step signal is observed on the CRT, and its height is a function of the resistance. The magnitude of the step caused by the resistive load may be expressed as a fraction of the input signal as given by:

\rho = \frac{R_L - Z_0}{R_L + Z_0}

where Z0 is the characteristic impedance of the transmission line.

For reactive loads, the observed waveform depends upon the time constant formed by the load and the characteristic impedance of the line.

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