Gaussian noise has a probability distribution which is given by the well known formula:
(see e.g. http://en.wikipedia.org/wiki/Normal_distribution) .
If a signal is said to be a white Gaussian noise, it is meant that the signal has a frequency spectrum stretching from –infinity to + infinity. A signal like that has an autocorrelation function which is also the mean value of the signal, is the unit impulse function ( i.e. its amplitude is infinity, its duration is zero but its area is unity). So what does one substitute for the mean value of the Gaussian probability distribution?
2007-03-15 01:41:03 · 2 answers · asked by East Ender 2 in Science & Mathematics ➔ Mathematics
This a correction to the questin. Apologies.
Autocorrelation function is the mean square value of the signal. Therefore, the question is :
What does one substitute for the mean square value of the Gaussian signal?
2007-03-15 05:22:28 · update #1