Signal and System Approximation from General Measurements

摘要: In this paper we analyze the behavior of system approximation processes for stable linear time-invariant (LTI) systems and signals in Paley–Wiener space \(\mathcal{P}\mathcal{W}_{\pi }^{1}\). We study processes, where input signal is not directly used to generate output but instead a sequence numbers that generated from by measurement functionals. consider classical sampling which corresponds pointwise evaluation signal, as well several more general show possible sampling, because there exist such process diverges. This remains true even with oversampling. However, if functionals are considered, oversampling used. Further, without have divergence large class practically relevant procedures.