Abstract

This article deals with almost phaseless sampling for spaces generated by B-splines with arbitrary knots. We provide a necessary and sufficient condition, which is a characterization of an almost phaseless sampling set, to admit phase recovery for almost all B-spline functions on an interval. Our results show that only N + 1 intensity measurements are sufficient to recover phase information for almost all functions in N dimensional B-spline function spaces with arbitrary knots.

中文翻译：

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具有任意结点的样条空间的几乎无相采样*

摘要

本文讨论了由具有任意节点的 B 样条生成的空间的几乎无相采样。我们提供了一个必要和充分条件，它是一个几乎无相采样集的特征，允许对一个区间上几乎所有 B 样条函数进行相位恢复。我们的结果表明， 对于具有任意节点的N维 B 样条函数空间中的几乎所有函数，仅N + 1 次强度测量就足以恢复相位信息。