Average sampling of band-limited stochastic processes
نویسندگان
چکیده
We consider the problem of reconstructing a wide sense stationary band-limited process from its local averages taken either at the Nyquist rate or above. As a result, we obtain a sufficient condition under which average sampling expansions hold in mean square and for almost all sample functions. Truncation and aliasing errors of the expansion are also discussed.
منابع مشابه
Ph . D . dissertation under the direction of Stamatis
Consider a stochastic process {x(t), t€T} of random elements of a Hilbert space H, whose index set is a locally compact Hausdorff space. The results obtained in this work fall into two broad categories, first the study of weakly stationary processes and their representations, and secondly the study of the sample path properties of not necessarily . stationary processes. In each case, we choose ...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1211.6572 شماره
صفحات -
تاریخ انتشار 2012