Title
Efficient QR Decomposition Using Low Complexity Column-wise Givens Rotation (CGR)
Abstract
QR decomposition (QRD) is a widely used Numerical Linear Algebra (NLA) kernel with applications ranging from SONAR beam forming to wireless MIMO receivers. In this paper, we propose a novel Givens Rotation (GR) based QRD (GR-QRD) where we reduce the computational complexity of GR and exploit higher degree of parallelism. This low complexity Column-wise GR (CGR) can annihilate multiple elements of a column of a matrix simultaneously. The algorithm is first realized on a Two-Dimensional (2D) systolic array and then implemented on REDEFINE which is a Coarse Grained run-time Reconfigurable Architecture (CGRA). We benchmark the proposed implementation against state-of-the-art implementations to report better throughput, convergence and scalability.
Year
DOI
Venue
2014
10.1109/VLSID.2014.51
VLSI Design
Keywords
Field
DocType
computational complexity,linear algebra,reconfigurable architectures,systolic arrays,2D systolic array,CGRA,GR-QRD,NLA kernel,QR decomposition,REDEFINE,SONAR beamforming,coarse grained run-time reconfigurable architecture,computational complexity,givens rotation based qrd,low complexity column-wise GR,low complexity column-wise givens rotation,numerical linear algebra,two-dimensional systolic array,wireless MIMO receivers,CGRA,QR Decomposition,Systolic Arrays
Kernel (linear algebra),Beamforming,Computer science,Degree of parallelism,Parallel computing,Systolic array,Real-time computing,Givens rotation,QR decomposition,Numerical linear algebra,Computational complexity theory
Conference
ISSN
Citations 
PageRank 
1063-9667
6
0.49
References 
Authors
11
4
Name
Order
Citations
PageRank
Merchant, F.160.49
Anupam Chattopadhyay231862.76
Garga, G.360.49
Nandy, S.K.4437.29