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Design / Digital validation

BER Confidence-level Calculator

Convert a BER test duration and observed error count into transmitted bits and statistical confidence against a specified BER limit.

Read the BER confidence testing guide
Specified BER (BERS)

Equivalent BER : 1e-12

N=Rb TN=R_b\,T
λ=N BERS\lambda=N\,BER_S
CL=1−e−λ∑k=0Eλkk!CL=1-e^{-\lambda}\sum_{k=0}^{E}\dfrac{\lambda^k}{k!}

Poisson approximation to the binomial error count

Confidence versus measurement time

Each curve assumes a fixed number of measured errors. The marker is your current test result.

0%50%90%95%99%100%036.0 min1.20 h1.80 h2.40 hMeasurement timeConfidence

Current confidence

Strong evidence against the specified BER limit.
Transmitted bits (N)7.20000e12
BER confidence level99.9253%
Expected errors at BERS7.2
Observed BER (E/N)0

Zero errors means an observed BER of 0, not a proven BER of zero.

What the calculator is doing

It first computes N = BPS × T. At the specified BER, the expected error count is λ = N × BERS. The confidence is the probability that a link operating exactly at that BER would produce more than E errors. A high value supports the conclusion that the tested BER is better than the specified limit.

Statistical assumptions

The Poisson rare-event model assumes independent errors and a constant BER. Bursts, loss of pattern synchronisation, traffic-dependent faults and changing environmental conditions can invalidate that model.

Required duration if the final measured error count stays at E

90%38.4 min
95%49.9 min
99%1.28 h
99.9%1.92 h