$φ$ -次高斯随机过程的Whittaker-Kotel'nikov-Shannon逼近
Whittaker-Kotel'nikov-Shannon approximation of $φ$-sub-Gaussian random processes
摘要：
本文首先推广了带限随机过程抽样定理中的一些经典结果和新的截断误差上界。然后，研究了$L_p([0,T])$及$φ$ -次高斯随机过程的有限时间抽样和的一致逼近。明确的截断误差上界的建立。给出了一般结果的一些规范，使假设易于验证。采用直接分析方法获得结果。
英文摘要：
The article starts with generalizations of some classical results and new truncation error upper bounds in the sampling theorem for bandlimited stochastic processes. Then, it investigates $L_p([0,T])$ and uniform approximations of $φ$-sub-Gaussian random processes by finite time sampling sums. Explicit truncation error upper bounds are established. Some specifications of the general results for which the assumptions can be easily verified are given. Direct analytical methods are employed to obtain the results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
