Title :
AND/EXOR-based regular function representation
Author :
Chrzanowska-Jeske, Malgorzata ; Zhou, Jingkun
Author_Institution :
Dept. of Electr. Eng., Portland State Univ., OR, USA
Abstract :
We propose a new data structure, pseudo-symmetric functional decision diagrams (PSFDDs), for completely specified Boolean functions. The new diagrams are based on functional decision diagrams (FDDs) and pseudo-symmetric binary decision diagrams (PSBDDs). As in FDDs, we use Davio expansions to generate the vertices of PSFDDs, but in addition we introduce a new Join-EXOR operation which combines two adjacent vertices such that the function is represented as a regular pseudo-symmetric network (two-dimensional array) instead of a binary tree. The regular structure can be directly mapped to a plane and therefore interconnection length is known from the logic representation. This allows us to accurately predict post-layout delays before the layout is completed. These structures are especially well suited for design technologies where the delay of interconnections limits device performance.
Keywords :
Boolean functions; combinational circuits; delays; field programmable gate arrays; logic CAD; logic gates; multivalued logic circuits; AND/EXOR-based regular function representation; Davio expansions; Join-EXOR operation; adjacent vertices; completely specified Boolean functions; device performance; interconnection length; logic representation; post-layout delays; pseudo-symmetric functional decision diagrams; regular pseudo-symmetric network; Binary trees; Boolean functions; Circuit synthesis; Data structures; Delay; Field programmable gate arrays; Integrated circuit interconnections; Logic arrays; Logic devices; Routing;
Conference_Titel :
Circuits and Systems, 1997. Proceedings of the 40th Midwest Symposium on
Print_ISBN :
0-7803-3694-1
DOI :
10.1109/MWSCAS.1997.662253