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:
“Society’s double behavioral standard for women and for men is, in fact, a more effective deterrent than economic discrimination because it is more insidious, less tangible. Economic disadvantages involve ascertainable amounts, but the very nature of societal value judgments makes them harder to define, their effects harder to relate.”
—Anne Tucker (b. 1945)
“The time you won your town the race
We chaired you through the market-place;
Man and boy stood cheering by,
And home we brought you shoulder-high.”
—A.E. (Alfred Edward)
“The vice named surrealism is the immoderate and impassioned use of the stupefacient image or rather of the uncontrolled provocation of the image for its own sake and for the element of unpredictable perturbation and of metamorphosis which it introduces into the domain of representation; for each image on each occasion forces you to revise the entire Universe.”
—Louis Aragon (1897–1982)