4 papers
Sampling Theorem and explicit interpolation formula for non-decaying unbounded signals
Nikolai Dokuchaev
The paper establishes an analog Whittaker-Shannon-Kotelnikov sampling theorem for unbounded non-decaying band-limited signals. An explicit interpolation formula is obtained for sig…
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…
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…
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…