Prolate spheroidal wave functions, Fourier analysis and uncertainty—I

D Slepian, HO Pollak - Bell System Technical Journal, 1961 - Wiley Online Library
D Slepian, HO Pollak
Bell System Technical Journal, 1961Wiley Online Library
Prolate spheroidal Wave Functions, Page 1 Prolate spheroidal Wave Functions, Fourier
Analysis and Uncertainty — I By D. SLEPIAN and H. O. POLLAK (Manuscript received August
1, 19601 A complete set of ba-ndli-mited fa-nctio-ns is described which possesses the curious
property of being orthogonal over a given finite interval as well as over (— w, =0 ). Properties
of the fimctio-ns are derived and several applications to the representation of signals are
made. I. INTRODUCTION It is pointed out in this paper that the eigenfunctions of the finite …
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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