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Realization of Logic Functions Using Switching Lattices Under a Delay Constraint

Aksoy, Levent; Akkan, Nihat; Sedef, Herman; Altun, Mustafa


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{
  "@context": "https://schema.org/", 
  "@id": 237288, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Istanbul Tech Univ, Dept Elect & Commun Engn, Emerging Circuits & Computat Grp, TR-34469 Istanbul, Turkey", 
      "name": "Aksoy, Levent"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Yildiz Tech Univ, Dept Elect & Commun Engn, TR-34220 Istanbul, Turkey", 
      "name": "Akkan, Nihat"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Yildiz Tech Univ, Dept Elect & Commun Engn, TR-34220 Istanbul, Turkey", 
      "name": "Sedef, Herman"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Istanbul Tech Univ, Dept Elect & Commun Engn, Emerging Circuits & Computat Grp, TR-34469 Istanbul, Turkey", 
      "name": "Altun, Mustafa"
    }
  ], 
  "datePublished": "2021-01-01", 
  "description": "Switching lattices, consisting of four-terminal switches, present an alternative structure for the realization of Boolean logic functions. Although promising algorithms have been introduced to find a realization of a logic function using a switching lattice with the fewest number of four-terminal switches, the delay of a switching lattice has not been examined yet. In this article, we generate a switching lattice using a recently proposed CMOS-compatible four-terminal device model and formulate the delay of a path in a switching lattice. It is observed that the delay of a design realizing a logic function on a switching lattice heavily depends on the number of four-terminal switches in the critical path. With this motivation, we introduce optimization algorithms, called PHAEDRA and TROADES, which can find the realization of a logic function on a switching lattice with the fewest number of switches under a delay constraint given in terms of the number of switches in the critical path. While PHAEDRA is a dichotomic search algorithm that can obtain solutions with a small number of switches on small size logic functions, TROADES is a divide-and-conquer method that can find a solution using less computational effort and can easily handle larger size logic functions with respect to PHAEDRA. The experimental results show that the proposed algorithms can reduce the delay of a lattice realization of a logic function significantly at a cost of an increase in the number of switches. They can explore alternative lattice realizations of a logic function by changing the delay constraint, enabling a designer to choose the one that fits best in an application.", 
  "headline": "Realization of Logic Functions Using Switching Lattices Under a Delay Constraint", 
  "identifier": 237288, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Realization of Logic Functions Using Switching Lattices Under a Delay Constraint", 
  "url": "https://aperta.ulakbim.gov.tr/record/237288"
}
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