# A Generalization of Multidimensional Synchronous Dataflow to Arbitrary Sampling Lattices

### P.K. Murthy and Edward A. Lee

###
EECS Department

University of California, Berkeley

Technical Report No. UCB/ERL M95/59

1995

Multidimensional Synchronous Dataflow (MDSDF) [15][7] is a model of computation that has been proposed for specifying multidimensional multirate signal processing systems such as image and video processing algorithms. The model is an extension of synchronous dataflow (SDF) [14] and has all of the desirable properties of the SDF model such as static schedulability, exposition of data and functional parallelism, and a visually pleasing syntax well suited for block diagram signal processing environments such as Ptolemy [6] and Khoros [13]. However, the MDSDF model as specified in [15] is limited to modeling multidimensional systems sampled on the standard rectangular lattice. Since many multidimensional signals of practical interest are sampled on non-rectangular lattices, for example, 2:1 interlaced video signals, and many multidimensional multirate systems use non-rectangular multirate operators like hexagonal decimators, it is of interest to have models that are capable of representing and simulating such systems. This report describes an extension of the MDSDF model that allows signals on arbitrary sampling lattices to be represented, and that allows the use of non-rectangular downsamplers and upsamplers.

BibTeX citation:

@techreport{Murthy:M95/59, Author = {Murthy, P.K. and Lee, Edward A.}, Title = {A Generalization of Multidimensional Synchronous Dataflow to Arbitrary Sampling Lattices}, Institution = {EECS Department, University of California, Berkeley}, Year = {1995}, URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1995/2821.html}, Number = {UCB/ERL M95/59}, Abstract = {Multidimensional Synchronous Dataflow (MDSDF) [15][7] is a model of computation that has been proposed for specifying multidimensional multirate signal processing systems such as image and video processing algorithms. The model is an extension of synchronous dataflow (SDF) [14] and has all of the desirable properties of the SDF model such as static schedulability, exposition of data and functional parallelism, and a visually pleasing syntax well suited for block diagram signal processing environments such as Ptolemy [6] and Khoros [13]. However, the MDSDF model as specified in [15] is limited to modeling multidimensional systems sampled on the standard rectangular lattice. Since many multidimensional signals of practical interest are sampled on non-rectangular lattices, for example, 2:1 interlaced video signals, and many multidimensional multirate systems use non-rectangular multirate operators like hexagonal decimators, it is of interest to have models that are capable of representing and simulating such systems. This report describes an extension of the MDSDF model that allows signals on arbitrary sampling lattices to be represented, and that allows the use of non-rectangular downsamplers and upsamplers.} }

EndNote citation:

%0 Report %A Murthy, P.K. %A Lee, Edward A. %T A Generalization of Multidimensional Synchronous Dataflow to Arbitrary Sampling Lattices %I EECS Department, University of California, Berkeley %D 1995 %@ UCB/ERL M95/59 %U http://www.eecs.berkeley.edu/Pubs/TechRpts/1995/2821.html %F Murthy:M95/59