Simulating noise with Yuler and Burg

Click For Summary
SUMMARY

This discussion focuses on simulating low-frequency noise using the Burg and Yuler methods after removing high-frequency white noise from an INS sensor. The user encountered issues with generated sequences diverging to large values when applying the equation XN+4=XN+3*C3+XN+2*C2+XN+1*C1+W1, where W1 represents white noise. The conversation also touches on the necessity of using a Kalman filter for error estimation instead of directly integrating simulation values, highlighting the complexity of the underlying auto-regressive model.

PREREQUISITES
  • Understanding of auto-regressive models
  • Familiarity with Kalman filters
  • Proficiency in Python for data analysis
  • Knowledge of noise simulation techniques
NEXT STEPS
  • Research the implementation of Burg and Yuler methods for noise simulation
  • Study the principles of Kalman filtering and its applications
  • Explore Python libraries for auto-regressive modeling, such as statsmodels
  • Learn about error estimation techniques in signal processing
USEFUL FOR

Data scientists, signal processing engineers, and researchers working on noise simulation and error estimation in sensor data analysis.

ramesses
Messages
16
Reaction score
0
Hi
After removing high frequency white noise in my INS sensor, I want to simulate low frequency noise with Burg or Yuler.
I used some functions in python to analyse the recorded data and to get parameters to use.
But the the problem is the sequences generated diverge (and take very big values), is that normal ?
I use the following equation :
XN+4=XN+3*C3+XN+2*C2+XN+1*C1+W1
where W1 is white noise.
I have another question.
Why I have to use kalman filter to estimate the error ?
Why not to integrate directly the value given by the simulation ?
 
Engineering news on Phys.org
I have no idea what you wrote. Is that English? :bow:

It seems to be some sort of auto-regressive model, but I don't recognize the math. Perhaps if that were clearer (use that little Σ button if it helps) more people would respond.

Also another forum might find more people familiar with this sort of math.
 
English is my 3rd language :wink:
XN3i=0Xi*Ci +W1
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
4K
Replies
3
Views
7K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
2
Views
2K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 5 ·
Replies
5
Views
6K
Replies
17
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K