Extended matrix formulation for the Marple algorithm
William J. Vetter, Milton José Porsani · 2005
This paper had been prepared as a tutorial complement to its companion paper, THE ARRAY MATRIX FOR SIGNAL PROCESSING [1], but could not be presented in the ICASSP-86 framework. Its objective was, and it is so now, to exemplify some of the adaptations and generalizations of matrix methods stemming from Tait's ARRAY MATRIX theory [2]. That theory has since been extended and consolidated as a mathematics of polyxa [3], which can abbet, we believe, the smooth transition of vector-matrix methods into the array processing era. Through these papers we wish to encourage individual and collective adoption of what is now called 'extended' matrix methods and notation, for communicating work on signal processing and in system theory. We exemplify this here on rederivation of the remarkable MARPLE algorithm.