A note on the sampling theorem of stationary process
Hui Jun · Journal of Hefei University of Technology · 2000
The sampling theorem is an important theorem in the stationary process,and discretization of the stationary process has theoretical and practical significance. In this paper a lemma in approximate theory is proved first, then by using the spectral decomposition method,it is proved that the stationary process with bounded spectrum can be discretized if time is limited to a finite closed interval,which is not only in square mean convergence but also in square mean convergence uniformly.