DocumentCode :
1764326
Title :
On the Recursive Solution to the Normal Equations: Some Other Results [Lecture Notes]
Author :
Ortigueira, Manuel D.
Volume :
31
Issue :
2
fYear :
2014
fDate :
41699
Firstpage :
140
Lastpage :
142
Abstract :
The recursive solution of the autocorrelation normal equations was recovered in a recent article by Baran and Oppenheim [1]. The algorithm they obtained is slightly different from the one currently described in the literature [9]. However, they did not reallize the importance of the difference. I discovered it almost 30 years ago [4], [6] and used it to propose a modified Burg method as alternative to the well-known Burg method [2] that emerged directly from the classic Durbin-Levinson algorithm. In fact, the solution of the normal equations Baran, Oppenheim, and I obtained leads to predictors that are different from those acquired with the classic Durbin-Levinson algorithm. We will see the difference by looking into the recursions verified by the corresponding prediction error filters.
Keywords :
Equations; Filtering algorithms; Mathematical model; Recursive estimation; Reflection coefficient; Signal processing; Signal processing algorithms;
fLanguage :
English
Journal_Title :
Signal Processing Magazine, IEEE
Publisher :
ieee
ISSN :
1053-5888
Type :
jour
DOI :
10.1109/MSP.2013.2292431
Filename :
6739188
Link To Document :
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