Identifying an autoregressive process disturbed by a moving-average noise using inner–outer factorization. Issue 1 (December 2015)

• Record Type: Journal Article
• Authors: Abdou, Ahmed; Turcu, Flavius; Grivel, Eric; Diversi, Roberto; Ferré, Guillaume
• Is Part Of: Signal, image and video processing. Volume 9:Issue 1(2015)
• Page Start: 235
• Page End: 244
• Publication Date: 2015-12
• Subjects: Autoregressive process (AR) -- Moving-avergae process (MA) -- Inner–outer factorization -- Overdetermined high-order Yule–Walker equations; Signal processing -- Digital techniques -- Periodicals; Image processing -- Digital techniques -- Periodicals; Digital video -- Periodicals; 621.3822
• DOI: 10.1007/s11760-015-0803-3
• Languages: English
• ISSNs: 1863-1703

Abstract

Abstract This paper deals with the identification of an autoregressive (AR) process disturbed by an additive moving-average (MA) noise. Our approach operates as follows: Firstly, the AR parameters are estimated by using the overdetermined high-order Yule–Walker equations. The variance of the AR process driving process can be deduced by means of an orthogonal projection between two types of estimates of AR process correlation vectors. Then, the correlation sequence of the MA noise is estimated. Secondly, the MA parameters are obtained by using inner–outer factorization. To study the relevance of the resulting method, we compare it with existing algorithms, and we analyze the identifiability limits. The identification approach is then combined with Kalman filtering for channel estimation in mobile communication systems.