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Generalized Sampling Series Approximation of Random Signals from Local Averages

机译:局部平均值对随机信号的广义采样序列逼近

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摘要

Signals are often of random character since they cannot bear any information if they are predictable for any time t, they are usually modelled as stationary random processes. On the other hand, because of the inertia of the measurement apparatus, measured sampled values obtained in practice may not be the precise value of the signal X(t) at time t_k( k ∈ Z), but only local averages of X(t) near t_k. In this paper, it is presented that a wide (or weak) sense stationary stochastic process can be approximated by generalized sampling series with local average samples.
机译:信号通常具有随机特征,因为如果它们在任何时间t都可预测,则它们将无法承载任何信息,因此通常将其建模为平稳的随机过程。另一方面,由于测量装置的惯性,实际上获得的测量采样值可能不是在时间t_k(k∈Z)时信号X(t)的精确值,而是X(t)的局部平均值)在t_k附近。在本文中,提出了广义(或弱)意义上的平稳随机过程可以通过具有局部平均样本的广义采样序列来近似。

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