What is delta-correlated Gaussian noise?

  • Thread starter Thread starter Apteronotus
  • Start date Start date
  • Tags Tags
    Gaussian Noise
Click For Summary
Delta-correlated Gaussian noise refers to a type of noise characterized by a flat power spectrum, indicating no correlation between noise values at different times. Its correlation function is expressed as 2σ²δ(t), where σ² represents the variance of the noise. The factor of 2 in the correlation function is questioned, with uncertainty about its origin. This type of noise is significant in various fields, including signal processing and communications. Understanding its properties is essential for analyzing systems affected by such noise.
Apteronotus
Messages
201
Reaction score
0
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
 
Physics news on Phys.org
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.
 

Thread 'Does acceleration affect impact energy vs constant velocity?'

I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...
View full post »

Similar threads

Graduate Reducing Gaussian Noise in Antenna Impedance Measurements
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Higher-Order Time Correlation Functions of White Noise?
  • · Replies 2 ·
Replies
2
Views
3K
Noise modeling with Markov modeling
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Brownian Motion (Langevin equation) correlation function
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Can a Gaussian distribution be represented as a sum of Dirac Deltas?
  • · Replies 2 ·
Replies
2
Views
3K
What is the Advantage of Using a Gaussian Distribution of Noise in a System?
  • · Replies 6 ·
Replies
6
Views
4K
Undergrad Meaning of average pressure in statistical mechanics
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Why Do Physicists Use Gaussian Error Distributions?
  • · Replies 5 ·
Replies
5
Views
2K
High School Exponential decay convolved with Gaussian
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Power spectral density of a laser's frequency noise
  • · Replies 6 ·
Replies
6
Views
2K