Title
Some Space Considerations of VLSI Systolic Array Mappings
Abstract
In this paper, the space-time mapping of the dependency matrix of an algorithm is used to study spatial properties of a systolic array implementation of a 3-nested loop structure. Elementary expressions are developed for both the number of processing elements and the area of the array. These expressions involve only the space-time transformation and the lengths of the loops. As well, characterizations have been found for the form of the space-time transformation which produces a systolic array with the minimum number of processing elements, and one which has both the minimum number of processing elements and the smallest area. Moreover, the theorems can be also being applied to more general algorithms, such as variable length of loops.
Year
DOI
Venue
2000
10.1109/82.933810
IEEE Transactions on Circuits and Systems Ii: Analog and Digital Signal Processing
Keywords
Field
DocType
systolic array,general algorithm,dependency matrix,space-time transformation,space considerations,systolic array implementation,3-nested loop structure,minimum number,elementary expression,smallest area,vlsi systolic array mappings,space-time mapping,generic algorithm,space time,fabrication,very large scale integration,computer science,statistics,parallel algorithms,mathematics,vlsi,nested loops
MISD,Expression (mathematics),Computer science,Matrix (mathematics),Parallel algorithm,Systolic array,Theoretical computer science,Computational science,Processing element,Design structure matrix,Very-large-scale integration,Distributed computing
Conference
Volume
Issue
ISSN
48
4
1521-9097
ISBN
Citations 
PageRank 
0-7695-0568-6
1
0.38
References 
Authors
7
3
Name
Order
Citations
PageRank
J. H. Weston161.39
C. N. Zhang2286.89
Hua Li335875.80