Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
David Slepian, H. O. Pollak
Abstract
David Slepian, H. O. Pollak
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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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)