Abstract
In presence of narrow-band input signals, adaptive ARMA prediction is studied from the viewpoint of stability. The adaptation algorithm under investigation has been promoted in digital coding of audio-signals. It is a sub-optimal, simplified version of the stochastic gradient, using no recursive filtering at all for the information vector entering the parameter increment. For narrow-band input signals, local and quasi-periodic instabilities will appear. At the time when one predictor pole crosses outwards the unit circle, the increasing output error becomes essentially periodic at the frequency of the in-question pole. This non linear effect will quickly reinforce the estimated parameters inside the stability region. This propitious behaviour of the adaptive algorithm has been called self-stabilization. It is investigated in detail in the paper.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Adaptive Systems in Control and Signal Processing 1986
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
