Title :
Generation of quasi-optimal FBDDs through paired Haar spectra
Author :
Chang, Chip-Hong ; Falkowski, Bogdan J.
Author_Institution :
Electron. Design Centre, Nanyang Polytech., Singapore
fDate :
31 May-3 Jun 1998
Abstract :
A polynomial Haar expansion for unnormalized Haar transform of incompletely specified Boolean function has been derived. Based on the Haar expansion, the entropy and equivocation in probability theory have been formulated in terms of some subsets of coefficients from the recently introduced paired Haar spectrum. A unified and systematic method founded on the concept of entropy has been developed to exploit the don´t care sets of incompletely specified Boolean functions for the heuristic minimization of Free Binary Decision Diagrams. The approach is general and can be extended to other combinatorial decision problems
Keywords :
Boolean functions; data structures; entropy; logic design; minimisation of switching nets; polynomials; probability; switching theory; transforms; combinatorial decision problems; entropy; equivocation; free BDD; free binary decision diagrams; heuristic minimization; incompletely specified Boolean function; paired Haar spectra; polynomial Haar expansion; probability theory; quasi-optimal FBDDs; unnormalized Haar transform; Binary decision diagrams; Boolean functions; Circuit testing; Data structures; Digital circuits; Entropy; Input variables; Logic functions; Minimization methods; Polynomials;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.705238