A novel approach to synthesis of threshold functions

Subramanian, S.; Thiagarajan, B.; Homaifar, A.

doi:10.1109/ssst.1993.522770

Cited by 1 publication

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“…In passing, we note that there are many methods for the identification and synthesis of threshold Boolean functions [37][38][39][40][41][42][43][44][45][46], i.e., for determining whether a given Boolean (switching) function is threshold or not, and, if it is such, selecting appropriate (albeit non-unique) values for its weights and threshold. The two methods reported herein are just two representative methods that seem to be suitable for reliability applications pertaining to coherent threshold systems.…”

Section: Discussionmentioning

confidence: 99%

Reliability Evaluation of Rooftop Solar Photovoltaics Using Coherent Threshold Systems

Uswarman

Rushdi

2021

JERR

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The trend for use of rooftop solar photovoltaics (PV) is rising due to their promising economic potential as a source of clean renewable energy. In general, a source of renewable solar energy consists of solar PV, an automatic charge controller, a battery pack, and an inverter. The reliability of a rooftop solar PV system is evaluated herein as that of a coherent threshold system (CTS). First, we utilize the unit-gap method and the fair-power method to verify that a given Boolean function is a threshold one and to identify its threshold and component weights. Both methods utilize specific features of the Karnaugh map (K-map). The unit-gap method uses the map to list all necessary inequalities by inspection, and then reduce them significantly by omitting dominated ones. The fair-power method uses the Karnaugh map to compute Banzhaf indices by appropriate map folding followed by XORing of true cells and false cells. We evaluate the CTS reliability via a recursive algorithm based on the Boole-Shannon’s expansion in the switching domain, which is transformed via the real transform to the total probability law in the probability domain.

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