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cs.IT2025
On predictors and filters for non-decaying unbounded continuous time signals
Nikolai Dokuchaev
The paper studies spectral representation and its applications for non-decaying continuous time signals that are not necessarily bounded at . The paper introduces notion…
cs.IT2024
Sampling Theorem and interpolation formula for non-vanishing signals
Nikolai Dokuchaev
The paper establishes an analog Whittaker-Shannon-Kotelnikov sampling theorem with fast decreasing coefficient, as well as a new modification of the corresponding interpolation for…
cs.IT2024
Spectral representation of two-sided signals from and applications to signal processing
Nikolai Dokuchaev
The paper studies spectral representation as well as predictability and recoverability problems for non-vanishing discrete time signals from , i.e. for bounded discret…