论文标题
在BT限制的信号上
On BT-limited Signals
论文作者
论文摘要
在本文中，我们介绍并描述了一个带有限制信号的子空间。子空间由所有$ω$带限制的信号组成，因此其傅立叶变换的非零部分是一些$ t $ bandlimited信号的部分。子空间中的信号称为BT限制信号，子空间称为BT限制信号空间。对于BT受限信号，具有误差的给定信号值的间隔[-t，t]之外存在具有分析误差估计值的信号外推。还提出了一些有关BT限制信号的新属性。
In this paper, we introduce and characterize a subspace of bandlimited signals. The subspace consists of all $Ω$ bandlimited signals such that the non-zero parts of their Fourier transforms are pieces of some $T$ bandlimited signals. The signals in the subspace are called BT-limited signals and the subspace is named as BT-limited signal space. For BT-limited signals, a signal extrapolation with an analytic error estimate exists outside the interval [-T, T] of given signal values with errors. Some new properties about and applying BT-limited signals are also presented.
