## A Generalization of Multidimensional Synchronous Dataflow to Handle Arbitrary Sampling Lattices

UCB Tech. Memorandum UCB/ERL M95/59, March 20, 1995, Electronics Research
Laboratory, UC Berkeley CA 94720.
by Praveen. K. Murthy and Edward. A. Lee.

### ABSTRACT

Multidimensional Synchronous Dataflow (MDSDF) [15][7] is a model of
computation that has been pro posed 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 modelling
multidimensional systems sampled on the standard rectan gular
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 lat tices to be
represented, and that allows the use of non-rectangular downsamplers
and upsamplers.
[33 pages]