2024
DOI: 10.1002/mma.10298
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Generalized phase retrieval in quaternion Euclidean spaces

Ming Yang,
Yun‐Zhang Li

Abstract: Recently, quaternionic Fourier analysis has received increasing attention due to its applications in signal analysis and image processing. This paper addresses quaternionic generalized phase retrieval (QGPR) problem in quaternion Euclidean spaces . We introduce the concept of QGPR which aims to reconstruct a signal in from the quadratic measurements , where each is an self‐adjoint quaternion matrix. We characterize QGPR sequences in terms of their real Jacobian matrices, prove that the set of QGPR se… Show more

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