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Press Releases

12 May 2003

Circadiant Releases White Paper on Statistical Uncertainty of BER Measurements

Optical Standards Tester is first to integrate automated physical layer measurements with statistical analysis.

Allentown PA - Circadiant Systems, Inc., the company making optical testing simple, today released a white paper that explains the relationship between Bit Error Ratio (BER) measurements and their statistical confidence levels. Circadiant Optical Standards Testers (OSTs) include BER statistical analysis, with continuously updated confidence levels.

Often there is a trade-off between the time spent on a test and the certainty of the BER measurement. When the BER is low, a test needs to run for a long period before many errors occur. Yet when a BER test is repeated again and again, a range of different results is expected. Therefore, a statistical uncertainty must be associated with any BER measurement. In the past, it has been necessary to calculate this uncertainty manually. Now, sophisticated algorithms continuously provide OST users with graphical BER statistical confidence levels of each data point taken in automated physical layer measurements such as sensitivity, overload, BER vs. OSNR, and 10 Gigabit Ethernet stressed receiver conformance.

In the Circadiant white paper, “Statistical Uncertainty of BER Measurements,” various statistical analyses of BER measurements are described. These include binomial probability, Poisson approximation, cumulative Poisson distributions, Gaussian probability distributions, one-sided and two-sided confidence levels, high error cases, no error cases, and Circadiant’s plotting conventions.

“Associated with a BER value is a confidence level and an input condition, such as the optical power level,” said Joey Thompson, Circadiant’s CTO. “For example, one could say a BER is not greater than 10 to the –12, with a 95% confidence level, at –19.33 dBm.” An OST also employs advanced algorithms that utilize the data points, and their associated confidence levels, to calculate the sensitivity of a Device Under Test. The OST will also extrapolate the sensitivity to low BER values such as 10 to the -14.

The Circadiant web site also includes a series of technical briefs. “BER vs. OSNR” explains how BER measurements may be performed as a function of OSNR rather than optical power. “Sensitivity Measurement Algorithms” reveals a variety of modes an OST applies to automatically measure sensitivity. “Straight-Line BER Plots” describes how to plot BER results so they easily reveal abnormal receiver behavior. And the “Optical Signal to Noise Ratio (OSNR)” technical brief offers a detailed approach to accurate OSNR measurements.

About OSTs
OSTs are an important new class of test instrumentation. They have received numerous awards as innovative test instruments that reduce manufacturing test cycle times and shorten a new product's time-to-market. Components and instruments that measure layer 1, 2 and 3 that are commonly used to test optical communication systems are consolidated into an OST. This enables sophisticated algorithms and complex testing procedures to be calibrated and automated by Circadiant, instead of the user, and produces a test instrument that is fast, accurate and purpose-built for optical communication system testing. Individual and group test results are displayed on appropriate scales with statistical confidence levels clearly shown to help users understand the behavior of a Device Under Test. An OST also allows the user to degrade test signals to simulate worst-case operating conditions. Degradation includes control over jitter, OSNR, interfering source, extinction ratio and optical power as well as the ability to inject errors into the layer 2 and 3 protocol signals.

About Circadiant Systems, Inc.
Led by test industry veterans and staffed by a team of distinguished physicists and engineers, Circadiant is a privately-held company based in Allentown, PA. The company provides optical component developers, network equipment manufacturers, and telecom service providers with award-winning test systems.  Circadiant’s Optical Standards Testers generate real-world optical test signals that greatly improve network reliability and interoperability. Circadiant received venture funding from EnerTech Capital, Intel Capital, PA Early Stage, and TL Ventures.

Media Contacts:

John French
Circadiant Systems, Inc.
610.871.0500 x101