engleski

Bandwidth estimation in the sampling theorems

The sapectral representation of the Shannon - Kotel'nikov sampling cardinal series expansion (SCSE) of non/bandlimited (NBL) stochastic signals were presented in some earlier papers by the author. This result gives the main tool in deriving the optimal value of the bandwidth in the approximation of the NBL stochastic signals by a sampling series of a BL signal such that it possesses the same spectral process. In this paper the Brownaliasing error upper bound is extended to NBL multidimensional stochastic processes and to the NBL homogeneous random fields. The magnitude of the derived bound is ordered under some smoothness condition upon the random field. Finally, some statistical interpertations and mehods are presented in the Shannon - Kotel'nikov discretization procedure for the stochastic signals.

Weakly sationary scalar and multidimensional processes; hmogeneous random fields; sampling cardinal series expansion; aliasing error; bandlimited and non-band-limited signals; Brown's upper bound

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