Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A sampling theorem for stationary (wide sense) stochastic processes.
HTML articles powered by AMS MathViewer

by S. P. Lloyd PDF
Trans. Amer. Math. Soc. 92 (1959), 1-12 Request permission
References
    A.-L. Cauchy, Mémoire sur diverses formulaes dé analyse, C.R. Acad. Sci. Paris vol. 12 (1841) pp. 283-298. E. T. Whittaker, On the functions which are represented by the expansions of the interpolation-theory, Proc. Roy. Soc. Edinburgh. Section A. vol. 35 (1915) pp. 181-194. H. P. Kramer, A generalized sampling theorem, Bull. Amer. Math. Soc. Abstract 63-2-234.
  • Claude E. Shannon, Communication in the presence of noise, Proc. I.R.E. 37 (1949), 10–21. MR 28549, DOI 10.1109/JRPROC.1949.232969
  • J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
  • John C. Oxtoby, On the ergodic theorem of Hurewicz, Ann. of Math. (2) 49 (1948), 872–884. MR 26766, DOI 10.2307/1969403
  • Antoni Zygmund, Trigonometrical series, Dover Publications, New York, 1955. MR 0072976
  • M. Kac, R. Salem, and A. Zygmund, A gap theorem, Trans. Amer. Math. Soc. 63 (1948), 235–243. MR 23937, DOI 10.1090/S0002-9947-1948-0023937-8
  • S. P. Lloyd and B. McMillan, Linear least squares filtering and prediction of sampled signals, Proceedings of the Symposium on Modern Network Synthesis, New York, 1955, Polytechnic Institute of Brooklyn, Brooklyn, N.Y., 1956, pp. 221–247. MR 0080406
    • E. Parzen, Technical Report No. 7, Department of Statistics, Stanford University, December 22, 1956. A. V. Balakrishnan, A note on the sampling principle for continuous signals, Institute of Radio Engineers Transactions on Information Theory, vol. IT-3 (1957) pp. 143-146. H. Nyquist, Certain topics in telegraph transmission theory, Trans. Amer. Inst. Elec. Engrs. vol. 47 (1928) pp. 617-644.
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 60.00, 94.00
  • Retrieve articles in all journals with MSC: 60.00, 94.00
Additional Information
  • © Copyright 1959 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 92 (1959), 1-12
  • MSC: Primary 60.00; Secondary 94.00
  • DOI: https://doi.org/10.1090/S0002-9947-1959-0107301-6
  • MathSciNet review: 0107301