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• W2031054080 abstract "The approximation of linear time-invariant (LTI) systems by sampling series is an important topic in signal processing. Recently, it was conjectured [1] and proved [2] that, for every sampling pattern that is a complete interpolating sequence, there exists a universal stable LTI system such that for every oversampling factor there exists a bandlimited input signal such that the approximation process, which is used to approximate the output signal of the LTI system, diverges. This instability of the approximation process shows a fundamental limit of sampling-based signals processing. However, as is shown in this paper, by using more general measurement functionals this divergence can be overcome." @default.
• W2031054080 created "2016-06-24" @default.
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• W2031054080 date "2014-05-01" @default.
• W2031054080 modified "2023-09-25" @default.
• W2031054080 title "System approximation with general measurement functionals" @default.
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• W2031054080 doi "https://doi.org/10.1109/icassp.2014.6854389" @default.
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