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• W2148662273 abstract "A T-periodic signal x(t) is said to be K-harmonic limited if, for some integer K > 0, its complex Fourier coefficients <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>{c_{n}}</tex> satisfy <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>c_{n} = 0</tex> for |n| > K. Such signals may be completely reconstructed from a finite number of uniformly spaced signal samples taken over a period, a property which facilitates the representation of two-dimensional (polar form) signals used in computerized tomography. By employing a reproducing kernel Hilbert space (RKHS) setting, a generalized theorem for sampling harmonic-limited signals is derived. All the special representations which have appeared in the literature with separate proofs, including three recent versions, [1]-[3], are shown to be special cases of the generalized reconstruction formula. Connections with Fourier series theory and Kramer's generalized sampling theorem are also discussed." @default.
• W2148662273 created "2016-06-24" @default.
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• W2148662273 date "1985-04-01" @default.
• W2148662273 modified "2023-10-06" @default.
• W2148662273 title "An RKHS analysis of sampling theorems for harmonic-limited signals" @default.
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• W2148662273 doi "https://doi.org/10.1109/tassp.1985.1164566" @default.
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