Random sampling and reconstruction of spectra

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This paper deals with the problem of perfect reconstruction of the spectrum of a weakly stationary stochastic process x(t) from a set of random samples {x(tn)}. A broad class of random sampling schemes, for which the sampling intervals are dependent, is constructed. It is shown that this class is "alias free≓ relative to various families of spectra. It is further shown that the alias free property of this class of sampling schemes is invariant under random deletion of samples. © 1971 Academic Press, Inc.




Masry, E. (1971). Random sampling and reconstruction of spectra. Information and Control, 19(4), 275–288. https://doi.org/10.1016/S0019-9958(71)90146-X

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