Theoretical analysis demonstrates dual orthogonality of bandlimited prolate spheroidal functions across finite and infinite intervals, highlighting novel capabilities for signal representation.
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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Slepian et al. (1961) studied this question.
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