Some Comments on sampling of ergodic process, an Ergodic theorem and turbulent pressure fluctuations

Details Some Comments on sampling of ergodic process, an Ergodic theorem and turbulent pressure fluctuations Some Comments on sampling of ergodic process, an Ergodic theorem and turbulent pressure fluctuations

2010-04-14

arxiv.org/abs/1004.2903v2

Physics

General Physics

13 pages

Scientific paper

We present a new proof of an Ergodic theorem for Wide-Sense Stationary Random Processes added with a new canonical sampling theorem of mine for finite time duration signals in the frequency domain (periodograms) which is free from the Nyquist interval restriction.We point out the usefulness of such theorem in the context of a model of random vibrations transmission (pressure-explosive fluctuations).Replacement due to inadvertent and wrong acknowledgments

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