On predicting for non-vanishing continuous time signals
<|reference_start|>On predicting for non-vanishing continuous time signals: The paper establishes frequency predictability criteria and presents predictors for two-sided non-vanishing bounded continuous time signals, i.e., for signals from $L_{\infty}(\R)$ that do not necessarily vanish at $\pm\infty$. The notions of transfer functions, the spectrum gaps, bandlimitness, and high-pass filters are introduced for these signals. This allowed to obtain some frequency criteria for predictability and predictors for signals with spectrum degeneracy.<|reference_end|>
@article{dokuchaev2024on,
    title={On predicting for non-vanishing unbounded continuous time signals},
    author={Nikolai Dokuchaev},
    journal={arXiv preprint arXiv:2405.05566},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.05566},
    primaryClass={cs.IT math.FA math.IT math.SP}
}