An Efficient Algorithm for the Calculation of Generalized Adding and Arithmetic Transforms From Disjoint Cubes of Boolean Functions. Issue 2 (1999)

• Record Type: Journal Article
• Authors: Falkowski, Bogdan J.; Chang, Chip-Hong
• Is Part Of: VLSI design. Volume 9:Issue 2(1999)
• Page Start: 135
• Page End: 146
• Publication Date: 1999
• Subjects: Logic design -- generalized Arithmetic and Adding transforms -- Boolean functions -- disjoint cubes -- spectral techniques; Integrated circuits -- Very large scale integration -- Periodicals; 621.395
• DOI: 10.1155/1999/45607
• Languages: English
• ISSNs: 1065-514X

Abstract

Abstract : A new algorithm is given that converts a reduced representation of Boolean functions in the form of disjoint cubes to Generalized Adding and Arithmetic spectra. Since the known algorithms that generate Adding and Arithmetic spectra always start from the truth table of Boolean functions the method presented computes faster with a smaller computer memory. The method is extremely efficient for such Boolean functions that are described by only few disjoint cubes and it allows the calculation of only selected spectral coefficients, or all the coefficients can be calculated in parallel.