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:
“Oh that my Powr to Saving were confind:
Why am I forcd, like Heavn, against my mind,
To make Examples of another Kind?
Must I at length the Sword of Justice draw?
Oh curst Effects of necessary Law!
How ill my Fear they by my Mercy scan,
Beware the Fury of a Patient Man.”
—John Dryden (16311700)
“Terror is as much a part of the concept of truth as runniness is of the concept of jam. We wouldnt like jam if it didnt, by its very nature, ooze. We wouldnt like truth if it wasnt sticky, if, from time to time, it didnt ooze blood.”
—Jean Baudrillard (b. 1929)
“No domain of nature is quite closed to man at all times.”
—Henry David Thoreau (18171862)