Multichannel fast QR-decomposition algorithms: weight extraction method and its applications

Abstract--Multichannel fast QR decomposition RLS (MCFQRD-RLS) algorithms are well known for their good numerical properties and low computational complexity. The main limitation is that they lack an explicit weight vector term, limiting themselves to problems seeking an estimate of the output error signal. This paper presents techniques which allow us to use MC-FQRD-RLS algorithms with applications that previously have required explicit knowledge of the adaptive filter weights. We first consider a multichannel system identification setup and present how to obtain, at any time, the filter weights associated with the MC-FQRD-RLS algorithm. Thereafter, we turn to problems where the filter weights are periodically updated using training data, and then used for fixed filtering of a useful data sequence, e.g., burst-trained equalizers. Finally, we consider a particular control structure, indirect learning, where a copy of the coefficient vector is filtering a different input sequence than th...

• Type: Journal
• Year: 2010
• Where: TSP
• Authors: Mobien Shoaib, Stefan Werner, José Antonio Apolinário
• Keywords: Adaptive Filter, Algorithm, Artificial Intelligence, Filter Weights, TSP 2010