1961•Bell System Technical JournalRequires access

Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

David Slepian, H. O. Pollak

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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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What this paper is about

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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Available 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.

Key concepts: Bandlimiting, Prolate spheroid, Fourier transform, Representation (politics), Property (philosophy), Mathematics, Interval (graph theory), Set (abstract data type)

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