论文标题
从采样的Gabor变换幅度检索：反例
Phase retrieval from sampled Gabor transform magnitudes: Counterexamples
论文作者
论文摘要
我们考虑从它们的Gabor转换幅度的离散，等距的样本中恢复了方形信号，并表明通常无法从此类样品中恢复信号。特别是，我们表明，对于任何晶格，都可以在$ l^2（\ mathbb {r}）$中构建功能，这些函数不同意全球阶段，而是在晶格上采样的Gabor变换幅度同意。这些功能在时间和频率上都具有良好的浓度，并且可以构造以实现矩形晶格。
We consider the recovery of square-integrable signals from discrete, equidistant samples of their Gabor transform magnitude and show that, in general, signals can not be recovered from such samples. In particular, we show that for any lattice, one can construct functions in $L^2(\mathbb{R})$ which do not agree up to global phase but whose Gabor transform magnitudes sampled on the lattice agree. These functions have good concentration in both time and frequency and can be constructed to be real-valued for rectangular lattices.
