Effects in Time Domain
In serial data communications, the AWGN mathematical model is used to model the timing error caused by random jitter (RJ).
The graph to the right shows an example of timing errors associated with AWGN. The variable Δt represents the uncertainty in the zero crossing. As the amplitude of the AWGN is increased, the signal-to-noise ratio decreases. This results in increased uncertainty Δt.
When affected by AWGN, The average number of either positive going or negative going zero-crossings per second at the output of a narrow bandpass filter when the input is a sine wave is:
Where
- f0 = the center frequency of the filter
- B = the filter bandwidth
- SNR = the signal-to-noise power ratio in linear terms
Read more about this topic: Additive White Gaussian Noise
Famous quotes containing the words effects, time and/or domain:
“I am fearful that the paper system ... will ruin the state. Its demoralizing effects are already seen and spoken of everywhere ... I therefore protest against receiving any of that trash.”
—Andrew Jackson (1767–1845)
“For every time She shouted ‘Fire!’
They only answered ‘Little Liar’!”
—Hilaire Belloc (1870–1953)
“No domain of nature is quite closed to man at all times.”
—Henry David Thoreau (1817–1862)