Phase retrieval from the magnitudes of affine linear measurements

Ambiguities in one-dimensional phase retrieval from magnitudes of a linear canonical transform

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 retri...

Fast Phase Retrieval from Local Correlation Measurements

We develop a fast phase retrieval method which can utilize a large class of local phaseless correlationbased measurements in order to recover a given signal x ∈ C (up to an unknown global phase) in near-linear O ( d log d ) -time. Accompanying theoretical analysis proves that the proposed algorithm is guaranteed to deterministically recover all signals x satisfying a natural flatness (i.e., non...

Phase retrieval from very few measurements

In many applications, signals are measured according to a linear process, but the phases of these measurements are often unreliable or not available. To reconstruct the signal, one must perform a process known as phase retrieval. This paper focuses on completely determining signals with as few intensity measurements as possible, and on efficient phase retrieval algorithms from such measurements...

Rapid estimation of sunflower leaf area from linear measurements

on the effect of linear & non-linear texts on students comprehension and recalling

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