Band-limited functions and the sampling theorem

doi:10.1016/S0019-9958(65)90038-0

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Volume 8, Issue 2, April 1965, Pages 143-158

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The definition of band-limited functions (and random processes) is extended to include functions and processes which do not possess a Fourier integral representation. This definition allows a unified approach to band-limited functions and band-limited (but not necessarily stationary) processes. The sampling theorem for functions and processes which are band-limited under the extended definition is derived.

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^*: On leave of absence from the Scientific Department, Israel Ministry of Defence, at which the major part of this paper was written.