Geodesic
A recursive algorithm for estimating the correlation matrix of the interference based on the QR decomposition (\textbf{Retracted})
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 2, pp. 160-169

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Many tasks of digital signal processing require the implementation of matrix operations in real time. These are operations of matrix inversion or solving systems of linear algebraic or differential equations (Kalman filter). The transition to the implementation of digital signal processing on programmable logic device (FPGAs), as a rule, involves calculations based on the representation of numbers with a fixed point. This makes solving spatio-temporal processing problems practically impossible based on conventional computational methods. The article discusses the implementation of spatial-temporal signal processing algorithms in satellite broadband systems using QR decomposition. The technologies of CORDIC computations required for recurrent QR decomposition when used together in systolic algorithms are presented.
Keywords: phased antenna array, adaptive algorithms, Kalman filter, recursive least squares algorithm (RLS), systolic algorithm.
Mots-clés : QR decomposition 
@article{JSFU_2020_13_2_a3,
     author = {Valery N. Tyapkin and Dmitry D. Dmitriev and Andrey B. Gladyshev and Peter Yu. Zverev},
     title = {A recursive algorithm for estimating the correlation matrix of the interference based on the {QR} decomposition {(\textbf{Retracted})}},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {160--169},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_2_a3/}
}
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Valery N. Tyapkin; Dmitry D. Dmitriev; Andrey B. Gladyshev; Peter Yu. Zverev. A recursive algorithm for estimating the correlation matrix of the interference based on the QR decomposition (\textbf{Retracted}). Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 2, pp. 160-169. http://geodesic.mathdoc.fr/item/JSFU_2020_13_2_a3/