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.

翻译：本文建立了频率可预测性准则，并针对双侧非衰减有界连续时间信号（即来自 $L_{\infty}(\R)$ 且在 $\pm\infty$ 处不一定衰减的信号）提出了预测器。为此，引入了这些信号的传递函数、频谱间隙、带限性和高通滤波器的概念。这使我们能够获得频谱退化信号可预测性的频率准则及相应的预测器。