On BT-limited Signals

Xiang-Gen Xia

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arXiv · 2005.13740

On BT-limited Signals

Xiang-Gen Xia

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Abstract

In this paper, we introduce and characterize a subspace of bandlimited signals. The subspace consists of all $\Omega$ 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.

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Xiang-Gen Xia. 2020-05-28. On BT-limited Signals. https://arxiv.org/abs/2005.13740

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