{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-1180"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-1180","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"Spectral analysis of random number generators","abstract":"This paper is based on the theory developed by Dr. Evangelos Yfantis, professor of Computer Science at University of Nevada, Las Vegas. In this paper, we describe a method for testing the fairness of pseudorandom number generators using the Discrete Fourier Transform. We will show how the concept of a random process can be used in a representation for random discrete time signals. Using this concept, we have focused on the mathematical representations of the spectral analysis of a fair pseudorandom number generator. From this representation, a reasonable \"spectral\" expectation is determined. An algorithm which applies the developed method is described, and a modified shift register random number generator is used to produce sample data.","abstract_html":"This paper is based on the theory developed by Dr. Evangelos Yfantis, professor of Computer Science at University of Nevada, Las Vegas. In this paper, we describe a method for testing the fairness of pseudorandom number generators using the Discrete Fourier Transform. We will show how the concept of a random process can be used in a representation for random discrete time signals. Using this concept, we have focused on the mathematical representations of the spectral analysis of a fair pseudorandom number generator. From this representation, a reasonable "spectral" expectation is determined. An algorithm which applies the developed method is described, and a modified shift register random number generator is used to produce sample data.","abstract_has_math":false,"creators":["Olsen, Christy Juinsuk"],"institution":"University of Nevada, Las Vegas","degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Computer Science","degree_department":null,"school":null,"contributors":["Evangelos Yfantis"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1992,"date_issued":"1992-01-01T08:00:00Z","date_published":"1992-01-01T08:00:00Z","updated_at":"2026-07-24T05:24:15Z","subjects":[],"languages":["English"],"rights":["IN COPYRIGHT. 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Using this concept, we have focused on the mathematical representations of the spectral analysis of a fair pseudorandom number generator. From this representation, a reasonable \"spectral\" expectation is determined. An algorithm which applies the developed method is described, and a modified shift register random number generator is used to produce sample data."]},{"key":"dc:format","label":"Dc Format","values":["pdf"]},{"key":"dc:title","label":"Title","values":["Spectral analysis of random number generators"]}]}],"canonical_facts":{"dc:contributor":["Evangelos Yfantis"],"dc:creator":["Olsen, Christy Juinsuk"],"dc:description.abstract":["This paper is based on the theory developed by Dr. Evangelos Yfantis, professor of Computer Science at University of Nevada, Las Vegas. In this paper, we describe a method for testing the fairness of pseudorandom number generators using the Discrete Fourier Transform. We will show how the concept of a random process can be used in a representation for random discrete time signals. Using this concept, we have focused on the mathematical representations of the spectral analysis of a fair pseudorandom number generator. From this representation, a reasonable \"spectral\" expectation is determined. An algorithm which applies the developed method is described, and a modified shift register random number generator is used to produce sample data."],"dc:format":["pdf"],"dc:identifier":["10.25669/o4rx-568j","https://oasis.library.unlv.edu/rtds/181","https://oasis.library.unlv.edu/context/rtds/article/1180/viewcontent/uc.pdf"],"dc:language":["English"],"dc:publisher":["University of Nevada, Las Vegas"],"dc:rights":["IN COPYRIGHT. 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