What is delta-correlated Gaussian noise?

[Apteronotus]

Hi

What is $$\delta$$-correlated Gaussian noise?

secondly, how is it that its correlation function is given to be $$2\sigma^2\delta(t)$$?

Thanks

 

[mathman]

I am a little rusty on details. However, what you are asking about is noise with a flat power spectrum so that there is no correlation between the noises at different times.

As for $$2\sigma^2\delta(t)$$, $$\sigma^2\$$ is the variance. I am not sure where the 2 comes from.