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'''FAN algorithm''' is an algorithm for [[Automatic test pattern generation|automatic test pattern generation (ATPG)]]. It was invented in 1983 by Hideo Fujiwara
Unique sensitization is to determine as many signal values as possible that can be uniquely implied. Multiple backtracing is concurrent backtracing of more than one path, which is more efficient than backtracing along a single path. In order to reduce the number of backtracks, it is important to find the nonexistence of the solution as soon as possible. When we find that there exists no solution we should backtrack immediately to avoid the subsequent unnecessary search. These heuristics can lead to the early detection of inconsistency and decrease the number of backtracks. FAN algorithm has been introduced in several books<ref>{{Cite book | last1 = Fujiwara | first1 = Hideo | title = Logic Testing and Design for Testability | isbn = 9780262561990 | publisher = MIT Press | date = September 1985}}</ref><ref>{{Cite book | last1 = Abramovici | first1 = Miron | first2 = Melvin A. | last2 = Breuer | first3 = Arthur D. | last3 = Friedman | title = Digital Systems Testing and Testable Design | publisher = IEEE Press | date = 1990 | isbn = 9780780310629}}</ref><ref>{{Cite book | last1 = Niraj | first1 = Jha | first2 = Sandeep | last2 = Gupta | title = Testing of Digital Systems | publisher = Cambridge University Press | date = 2003 | isbn = 0521773563}}</ref> and many conference papers such as ACM/IEEE Design Automation Conference, et al.<ref>{{Cite journal | first1 = Tom | last1 = Kirkland | first2 = M. Ray | last2 = Mercer | title = A topological search algorithm for ATPG | journal = 24th ACM/IEEE Design Automation Conference | pages = 502-508 | date = 1987 | doi = 10.1145/37888.37963}}</ref>
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