David Slepian

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David S. Slepian (born June 30, 1923 in Pittsburgh , Pennsylvania , † November 29, 2007 ) was an American mathematician .

He was the son of Joseph Slepian (1891-1969), who worked as an electrical engineer at Westinghouse, but had a doctorate in mathematics. Slepian studied physics at the University of Michigan and received his PhD in physics from Harvard University in 1949 . Before that he was an officer in the US Army ghost army, which was set up to deceive the Germans when they landed in Normandy . As a post-doctoral student , he was at the University of Cambridge and the Sorbonne . He then went to the mathematical research center of Bell Laboratories as a scientist , where he initially worked on a wide variety of mathematical topics, dealt with the theory of switching networks and their logic and even worked on a warhead for the NIKE rocket . He later turned to coding theory , information theory and communication theory. He taught at the University of Hawaii in the 1970s but returned to Bell Labs in the 1980s.

In 1956 he introduced the term binary group code .

Together with HJ Landau and HO Pollak, he investigated discrete elongated ellipsoids of revolution (Discrete prolate spheroidical wave functions, DPSWF) and sequences (DPSS), which were later named Slepian s after him . They have the property of being orthogonal both over the unbounded real line and in a given finite interval. Slepian and his colleagues used them to characterize the bandwidth of electrical signals and they play a fundamental role in the multitaper method for estimating the power spectrum of a signal ( David J. Thomson , 1982).

Slepian's Lemma (1962) in probability theory was proven by him and is named after him. With Jack Keil Wolf he achieved fundamental results in the coding of multiple sources (Slepian Wolf Coding, 1973).

In 1982 he was John von Neumann Lecturer . In 1974 he was Shannon Lecturer at the IEEE . In 1981 he received the IEEE Alexander Graham Bell Medal and in 1984 the IEEE Centennial Medal . He was an IEEE Fellow and Fellow of the Institute of Mathematical Statistics and was a member of the National Academy of Sciences (1977), the American Academy of Arts and Sciences (1990) and the National Academy of Engineering (1976).

His wife Jan Slepian (* 1921) is known as a children's book author.

Web links

Individual evidence

  1. ^ Slepian A Class of Binary Signaling Alphabets , Bell System Technical Journal, Volume 35, 1956, p. 203
  2. ↑ Slepian, Pollak Prolate spherical wave functions , Bell System Technical Journal, Part 1, Volume 40, January 1961, p. 43, Part 2, ibid. P. 65, part 3, volume 41, July 1962, p. 1295, part 4 by Slepian, volume 43, November 1964, p. 3009, part 5 by Slepian, volume 57, 1978, p. 1371
  3. ^ Slepian The One-Sided Barrier Problem for Gaussian Noise , Bell System Technical Journal, 1962, pp. 463-501
  4. ^ Slepian Wolf Coding, Scholarpedia
  5. ↑ Slepian, Wolf Noiseless coding of correlated information sources , IEEE Transactions on Information Theory, Volume 19, 1973, pp. 471-480
personal data
SURNAME Slepian, David
ALTERNATIVE NAMES Slepian, David S.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 30, 1923
PLACE OF BIRTH Pittsburgh , Pennsylvania
DATE OF DEATH November 29, 2007