A Recursive Least-Squares Algorithm for the Identification of Trilinear Forms

Algorithms

Laura-Maria Dogariu¹  Constantin Paleologu¹  Andrei-Alexandru Enescu¹  Silviu Ciochină¹  Camelia Elisei-Iliescu¹  Jacob Benesty² 

[1] Department of Telecommunications, University Politehnica of Bucharest, 1-3, Iuliu Maniu Blvd., 061071 Bucharest, Romania;INRS-EMT, University of Quebec, Montreal, QC H5A 1K6, Canada;

关键词: adaptive filters;    recursive least-squares (RLS) algorithm;    system identification;    tensor decomposition;    trilinear forms;   

DOI  :  10.3390/a13060135

来源: DOAJ

【 摘 要 】

High-dimensional system identification problems can be efficiently addressed based on tensor decompositions and modelling. In this paper, we design a recursive least-squares (RLS) algorithm tailored for the identification of trilinear forms, namely RLS-TF. In our framework, the trilinear form is related to the decomposition of a third-order tensor (of rank one). The proposed RLS-TF algorithm acts on the individual components of the global impulse response, thus being efficient in terms of both performance and complexity. Simulation results indicate that the proposed solution outperforms the conventional RLS algorithm (which handles only the global impulse response), but also the previously developed trilinear counterparts based on the least-mean- squares algorithm.

【 授权许可】

Unknown