Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

1961/01/01 by D. Slepian, H. O. Pollak · 21 citations
Computer Science · Earth and Planetary Sciences · #Digital Filter Design and Implementation #Image and Signal Denoising Methods #Underwater Acoustics Research

paper · doi:10.1002/j.1538-7305.1961.tb03976.x

crossref issued 1961/01/01 · crossref published 1961/01/01 · crossref published-print 1961/01/01 · openalex publication_date 1961/01/01 · crossref published-online 2013/07/29 · crossref created 2013/07/29 · crossref deposited 2020/10/14 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/07/31

Abstract

A complete set of bandlimited functions is described which possesses the curious property of being orthogonal over a given finite interval as well as over (− ∞, ∞). Properties of the functions are derived and several applications to the representation of signals are made.

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