论文标题
小波变换的带限制功能的阶段检索
Phase retrieval of bandlimited functions for the wavelet transform
论文作者
论文摘要
我们研究了从其小波变换的绝对值中恢复了正方形信号，也称为小波相试验。我们为小波阶段检索提供了新的唯一性结果。确切地说，我们证明，任何有限的消失时刻的小波都可以恢复到全球标志的实现的带有限制性信号。此外，我们介绍了采样小波相试验的第一个唯一性结果，其中允许基础小波值复杂值，并且我们呈现出从采样的cauchy小波变换测量值的相位检索的唯一性结果。
We study the recovery of square-integrable signals from the absolute values of their wavelet transforms, also called wavelet phase retrieval. We present a new uniqueness result for wavelet phase retrieval. To be precise, we show that any wavelet with finitely many vanishing moments allows for the unique recovery of real-valued bandlimited signals up to global sign. Additionally, we present the first uniqueness result for sampled wavelet phase retrieval in which the underlying wavelets are allowed to be complex-valued and we present a uniqueness result for phase retrieval from sampled Cauchy wavelet transform measurements.
