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David Slepian
Researcher at Bell Labs
Publications - 28
Citations - 12774
David Slepian is an academic researcher from Bell Labs. The author has contributed to research in topics: Prolate spheroidal wave function & Series (mathematics). The author has an hindex of 22, co-authored 28 publications receiving 12204 citations. Previous affiliations of David Slepian include University of Hawaii.
Papers
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Noiseless coding of correlated information sources
David Slepian,Jack K. Wolf +1 more
TL;DR: The minimum number of bits per character R_X and R_Y needed to encode these sequences so that they can be faithfully reproduced under a variety of assumptions regarding the encoders and decoders is determined.
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Prolate spheroidal wave functions, fourier analysis and uncertainty — II
David Slepian,H. O. Pollak +1 more
TL;DR: In this paper, the authors apply the theory developed in the preceding paper to a number of questions about timelimited and bandlimited signals, and find the signals which do the best job of simultaneous time and frequency concentration.
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Prolate spheroidal wave functions, fourier analysis, and uncertainty — V: the discrete case
TL;DR: In this article, the authors investigated the extent to which a time series can be concentrated on a finite index set and also have its spectrum concentrated on subinterval of the fundamental period of the spectrum.
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The one-sided barrier problem for Gaussian noise
TL;DR: In this paper, the authors considered the probability that a stationary Gaussian process with mean zero and covariance function r(τ) be nonnegative throughout a given interval of duration T. Several strict upper and lower bounds for P were given, along with some comparison theorems that relate P's for different covariance functions.
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Prolate spheroidal wave functions, Fourier analysis and uncertainty — IV: Extensions to many dimensions; generalized prolate spheroidal functions
TL;DR: In this paper, a generalization of the generalized prolate spheroidal wave functions is presented, and the eigenvalues of both (i) and (ii) are studied in detail.