论文标题
STFT阶段检索的唯一功能的唯一性
Uniqueness of STFT phase retrieval for bandlimited functions
论文作者
论文摘要
我们考虑了从短时傅立叶变换（STFT）测量的幅度检索相位的问题。众所周知，当基础窗口具有无处消失的歧义函数时，信号是通过其stft幅度唯一确定（直至全局阶段）的。但是，当基础窗口的歧义函数在某些时频平面上消失时，就独特的相位恢复性而言，可以说的是不清楚的。在此简短说明中，我们证明，通过考虑佩奇的空间中的信号，可以证明STFT期检索的新唯一性结果。在其中，我们在实现的设置中建立了从仅大小的样品中检索STFT相的第一个唯一定理。
We consider the problem of phase retrieval from magnitudes of short-time Fourier transform (STFT) measurements. It is well-known that signals are uniquely determined (up to global phase) by their STFT magnitude when the underlying window has an ambiguity function that is nowhere vanishing. It is less clear, however, what can be said in terms of unique phase-retrievability when the ambiguity function of the underlying window vanishes on some of the time-frequency plane. In this short note, we demonstrate that by considering signals in Paley-Wiener spaces, it is possible to prove new uniqueness results for STFT phase retrieval. Among those, we establish a first uniqueness theorem for STFT phase retrieval from magnitude-only samples in a real-valued setting.
