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+<html><head><title>
+Time and Time Interval Measurement with Application to Computer and
+Network Performance Evaluation
+</title></head><body><h3>
+Time and Time Interval Measurement with Application to Computer and
+Network Performance Evaluation
+</h3><hr>
+
+<p>The technical memorandum: <cite>Time and Time Interval Measurement
+with Application to Computer and Network Performance Evaluation</cite><a
+href="http://www.eecis.udel.edu/~mills/database/memos/memo96a.ps">
+(PostScript) </a> describes a number of techniques for conducting
+experiments typical of computer network and transmission systems
+engineering.
+
+<p>In most experiments in which time is involved, it is necessary to
+develop estimates of time, frequency and measurement errors from a
+series of time measurements between the clocks of a number of computers
+and ancillary devices interconnected by some kind of computer network.
+However, time is not a physical quantity, such as mass, nor can it be
+measured relative to an absolute frame of reference, such as velocity.
+The only way to measure time in our universe is to compare the reading
+of one clock, which runs according to its own timescale, with another
+clock, which runs according to a given timescale, at some given instant
+or epoch. The errors arise from the precision of time comparisons and
+the accuracy of frequency estimates between the timescales involved.
+
+<p>The usual data collected during a performance run of some experiment
+might include time offsets, time delays, frequency offsets and various
+error statistics. While time offsets between two clocks can be measured
+directly, frequency offsets can be estimated only from two or more time
+offsets made over some time interval in the experiment. In practice, a
+sequence of time comparisons can be performed over the lifetime of the
+experiment and the instantaneous frequency estimated either in real time
+with a recurrence relation, or retrospectively with a polynomial fit to
+the data.
+
+<p>Estimating time and frequency errors in real time has been studied by
+a distinct subspecies of physicists who have made a career of the
+technology involved. Various means including autoregressive models,
+Kalman filters and simple weighted-average algorithms are used
+extensively by national standards laboratories to model cesium-clock
+ensembles. These techniques have been adapted to computer network and
+transmission engineering problems as well. This memorandum explores
+issues in performing experiments of this type and summarizes various
+techniques found useful in practice.
+
+<hr><a href=index.htm><img align=left src=pic/home.gif></a><address><a
+href=mailto:mills@udel.edu> David L. Mills &lt;mills@udel.edu&gt;</a>
+</address></a></body></html>
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