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:
“Perspective, as its inventor remarked, is a beautiful thing. What horrors of damp huts, where human beings languish, may not become picturesque through aerial distance! What hymning of cancerous vices may we not languish over as sublimest art in the safe remoteness of a strange language and artificial phrase! Yet we keep a repugnance to rheumatism and other painful effects when presented in our personal experience.”
—George Eliot [Mary Ann (or Marian)
“He said “Next time can I bring my friend?”
And I thought “Does he mean friend?”
And I thought “Yes he does mean friend.”
Which was quite bold in those days.
It was the Dark Ages. Men and men.
And they could still put you in prison for it.
And did, dear.”
—Alan Bennett (b. 1934)
“No domain of nature is quite closed to man at all times.”
—Henry David Thoreau (1817–1862)