Can anyone direct me to resources on any of the following topics, encountered during research on IIR filtering... alternatively, a brief explantion would be appreciated... 1. relatively prime polynomials 2. Pade approximation 3. McMillan degree 4. Hankel singular values 5. Schur complement 6. Kalman filters 7. persistently exciting 8. Sylvester Matrix Now there's a mouthful!
IIR filters
Started by ●January 16, 2004
Reply by ●January 16, 20042004-01-16
porterboy wrote:> Can anyone direct me to resources on any of the following topics, > encountered during research on IIR filtering... alternatively, a brief > explantion would be appreciated... > > 1. relatively prime polynomials:http://www.google.com/search?q=relatively%20prime%20polynomial> 2. Pade approximationhttp://www.google.com/search?q=Pade+approximation> 3. McMillan degreehttp://www.google.com/search?q=McMillan+degree> 4. Hankel singular valueshttp://www.google.com/search?q=Hankel+singular+value Etc. Take it from there. ... Jerry -- Engineering is the art of making what you want from things you can get. �����������������������������������������������������������������������
Reply by ●January 16, 20042004-01-16
On Fri, 16 Jan 2004 08:56:11 +0000, porterboy wrote:> 6. Kalman filtersThese are predicitive filters. Basically they have a model for how a signal should behave. They lock onot the model, and then calculate statistically how close the model is to the readings taken from it. Wieghtings are then applie to the statistical likelihood of the predictive part of the reading part and a wieghted average is output. Very good for deciding when to fire a missile at somethin, or working out where a plane is most likely to be on a radar screen
Reply by ●January 18, 20042004-01-18
These are all topics covered in Linear System Theory. Look at the book by Kailath for more information. It's a pretty old book but covers basically everything you have listed. hth, cf porterboy wrote:> > Can anyone direct me to resources on any of the following topics, > encountered during research on IIR filtering... alternatively, a brief > explantion would be appreciated... > > 1. relatively prime polynomials > 2. Pade approximation > 3. McMillan degree > 4. Hankel singular values > 5. Schur complement > 6. Kalman filters > 7. persistently exciting > 8. Sylvester Matrix > > Now there's a mouthful!
Reply by ●January 22, 20042004-01-22
Thanksfor the recommendation, I just ordered the book from Amazon... cf <cf@nospam.org> wrote in message news:<400A1C55.B9DB1213@nospam.org>...> These are all topics covered in Linear System Theory. Look at the > book by Kailath for more information. It's a pretty old book but covers > basically everything you have listed. > > hth,
