Athanasios Papoulis

Athanasios Papoulis<ref name="PapoulisAward">Papoulis IEEE Award</ref> (Template:Langx; 1921 – April 25, 2002) was a Greek-American engineer and applied mathematician.

Life

Papoulis was born in modern day Turkey in 1921, and his family was moved to Athens, Greece in 1922 as a consequence of the Population exchange between Greece and Turkey. He earned his undergraduate degree from National Technical University of Athens. In 1945, he stowed away on a boat to escape the impending Greek Civil War and settled in the United States. He studied under the supervision of John Robert Kline at the University of Pennsylvania and earned his Ph.D. in Mathematics in 1950. His dissertation was titled On the Strong Differentiation of the Indefinite Integral.<ref>Template:MathGenealogy</ref>

He married Caryl Engwall in New York, New York in 1953, and had five children: Irene, Helen, James, Ann, and Mary. In 1952, after teaching briefly at Union College, he became a faculty member at the Polytechnic Institute of Brooklyn (now Polytechnic Institute of New York University), where he earned the distinction of University Professor.<ref>Announcement of Death.</ref>

Studies

Papoulis contributed in the areas of signal processing, communications, and signal and system theory. His classic book Probability, Random Variables, and Stochastic Processes<ref name="Pap">Template:Cite book</ref> is used as a textbook in many graduate-level probability courses in electrical engineering departments all over the world.

Template:Quotation By staying away from complete mathematical rigor while emphasizing the physical and engineering interpretations of probability, Papoulis's book gained wide popularity.

Theory

Athanasios Papoulis specialized in engineering mathematics, his work covers probability, statistics, and estimation in the application of these fields to modern engineering problems. Papoulis also taught and developed subjects such as stochastic simulation, mean square estimation, likelihood tests, maximum entropy methods, Monte Carlo method, spectral representations and estimation, sampling theory, bispectrum and system identification, cyclostationary processes, deterministic signals in noise (part of deterministic systems and dynamical system studies), wave optics and the Wiener and Kalman filters.

Contributions

• Papoulis's generalization of the sampling theorem<ref>Template:Cite journal</ref> unified many variations of the Nyquist–Shannon sampling theorem into one theorem.<ref>Template:Cite journal</ref><ref>Template:Cite journal</ref>
• The Papoulis–Gerchberg algorithm<ref>Template:Cite journal</ref><ref>Template:Cite journal</ref><ref>Template:Cite journal</ref> is an iterative signal restoration algorithm that has found widespread use in signal and image processing.<ref>Template:Cite book</ref><ref>R.J. Marks II, op.cit., pp. 477–482</ref>
• "Papoulis's eloquent proof"<ref>R.J. Marks II, Ibid, p. 223</ref> of the conventional sampling theorem<ref>Template:Cite book</ref> requires only two equations.

Bibliography

• The Fourier Integral and its Applications by Papoulis, Athanasios, McGraw-Hill Companies (June 1, 1962), Template:Isbn, Template:LCCN.
• Probability, Random Variables, and Stochastic Processes by Papoulis, Athanasios 1965. McGraw-Hill Kogakusha, Tokyo, 9th edition, Template:Isbn
• Signal Analysis by Athanasios Papoulis Publisher: McGraw-Hill Companies (May 1977) Template:Isbn Template:Isbn
• Systems and Transforms With Applications in Optics by Athanasios Papoulis Publisher: Krieger Pub Co (June 1981) Template:Isbn Template:Isbn
• Probability and Statistics by Athanasios Papoulis Publisher: Prentice Hall (September 1989) Template:Isbn Template:Isbn
• Circuits and Systems – A modern approach by Athanasios Papoulis Publisher: Holt, Rinehart and Winston, Inc. (1980) Template:Isbn

External links

• IEEE Athanasios Papoulis Award for Excellence in Engineering and Technology Education
• The Athanasios Papoulis Award, one of the IEEE LI Section Awards