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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Ambiguities in one-dimensional phase retrieval from magnitudes of a linear canonical transform
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Ambiguities in one-dimensional phase retrieval from magnitudes of a linear canonical transform

机译:从线性规范变换的大小检索一维阶段检索的歧义

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摘要

Phase retrieval problems occur in a wide range of applications in physics and engineering. Usually, these problems consist in the recovery of an unknown signal from the magnitudes of its Fourier transform. In some applications, however, the given intensity arises from a different transformation such as the Fresnel or fractional Fourier transform. More generally, we here consider the phase retrieval of an unknown signal from the magnitudes of an arbitrary linear canonical transform. Using the close relation between the Fourier and the linear canonical transform, we investigate the arising ambiguities of these phase retrieval problems and transfer the well-known characterizations of the solution sets from the classical Fourier phase retrieval problem to the new setting.
机译:相位检索问题发生在物理和工程的各种应用中。 通常,这些问题在傅里叶变换的大小的恢复中恢复了未知信号。 然而,在一些应用中,给定的强度从诸如菲涅耳或分数傅里叶变换的不同变换中产生。 更一般地,我们在此考虑来自任意线性规范变换的大小的未知信号的相位检索。 使用傅里叶和线性规范变换之间的密切关系,我们研究了这些相位检索问题的产生模糊,并将解决方案集的众所周知的表征从经典傅立叶相位检索问题传输到新设置。

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