最小相位的一个充要条件及其对相位恢复的启示
A necessary and sufficient condition for minimum phase and implications for phase retrieval
摘要：
本文给出了函数$E(t)$具有最小相位的充分必要条件，并由此给出了其相位由强度$|E(t)|^2$唯一确定的充分必要条件.这个条件是基于$E(t)$单独的知识，而不是它在复平面上的解析延拓，从而大大简化了它的实用性。我们应用这些结果找到类的所有带限信号，对应于不同的接收器状态时，检测器是敏感的场强度只和不敏感的场相位，并讨论了最近提出的传输方案的性能能够线性检测所有可区分的状态。
英文摘要：
We give a necessary and sufficient condition for a function $E(t)$ being of minimum phase, and hence for its phase being univocally determined by its intensity $|E(t)|^2$. This condition is based on the knowledge of $E(t)$ alone and not of its analytic continuation in the complex plane, thus greatly simplifying its practical applicability. We apply these results to find the class of all band-limited signals that correspond to distinct receiver states when the detector is sensitive to the field intensity only and insensitive to the field phase, and discuss the performance of a recently proposed transmission scheme able to linearly detect all distinguishable states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
