Geodesic
Hardware architectures of the QR-decomposition based on a Givens rotation technique
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 606-613.

Voir la notice de l'article provenant de la source Math-Net.Ru

The fixed-point hardware architecture of the QR decomposition is constrained by a several issues that leads to decrease of a compute accuracy depending on a matrix size. In this article described the hardware architectures based on CORDIC algorithm and approximation functions. As a basis technique is used a Givens rotation technique, because it is a most suitable technique for hardware implementation.
Keywords: FPGA, CORDIC algorithm, approximation function, fixed-point arithmetic.
Mots-clés : QR-decomposition 
@article{JSFU_2019_12_5_a8,
     author = {A. V. Sokolovskiy and Evgeny A. Veisov and Valery N. Tyapkin and Dmitry D. Dmitriev},
     title = {Hardware architectures of the {QR-decomposition} based on a {Givens} rotation technique},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {606--613},
     publisher = {mathdoc},
     volume = {12},
     number = {5},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a8/}
}
TY  - JOUR
AU  - A. V. Sokolovskiy
AU  - Evgeny A. Veisov
AU  - Valery N. Tyapkin
AU  - Dmitry D. Dmitriev
TI  - Hardware architectures of the QR-decomposition based on a Givens rotation technique
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2019
SP  - 606
EP  - 613
VL  - 12
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a8/
LA  - en
ID  - JSFU_2019_12_5_a8
ER  - 
%0 Journal Article
%A A. V. Sokolovskiy
%A Evgeny A. Veisov
%A Valery N. Tyapkin
%A Dmitry D. Dmitriev
%T Hardware architectures of the QR-decomposition based on a Givens rotation technique
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2019
%P 606-613
%V 12
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a8/
%G en
%F JSFU_2019_12_5_a8
A. V. Sokolovskiy; Evgeny A. Veisov; Valery N. Tyapkin; Dmitry D. Dmitriev. Hardware architectures of the QR-decomposition based on a Givens rotation technique. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 606-613. http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a8/

[1] A.V. Sokolovskiy, A.B. Gladyshev, D.D. Dmitriev, V.N. Ratushniak, “Hardware diagram computing devices navigation equipment consumers SRNS”, Dynamics of Systems, Mechanisms and Machines (Dynamics), 2017, 1–4

[2] H. Lee, H. Kim, M. Cao, J. Kim, “Low-latency implementation of CORDIC-based sorted QR decomposition for high-speed MIMO-OFDM system”, 28th International Conference Radioelektronika, 2018, 1–4

[3] W. Fan, A. Alimohammad, “Givens rotation-based QR decomposition for MIMO systems”, IET Communications, 11 (2017), 1838–1845 | DOI

[4] D. Chen, M. Sima, “Fixed-point CORDIC-based QR decomposition by Givens rotations on FPGA”, Proceedings 2011 International Conference on Reconfigurable Computing and FPGAs, ReConFig 2011, 2011, 327–332 | DOI

[5] B. Parhami, Computer arithmetic: algorithms and hardware designs, 2000