Novel criteria of uniqueness for signal reconstruction from phase

C. Ma

doi:10.1109/78.80933

Novel criteria of uniqueness for signal reconstruction from phase

C. Ma

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Abstract

An approach for ascertaining whether a signal is uniquely determined by its Fourier transform phase is proposed. It is shown that uniqueness corresponds to the nonsingularity of a matrix which can be formed from the finite-length real sequence. The criterion of uniqueness for reconstructing a one-dimensional finite-length sequence from its phase is discussed. The criterion of uniqueness for reconstructing a multidimensional finite-length sequence is presented

Original language	English
Pages (from-to)	989-992
Journal	IEEE Transactions on Signal Processing
Volume	39
Issue number	4
DOIs	https://doi.org/10.1109/78.80933
Publication status	Published - 1991

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10.1109/78.80933

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title = "Novel criteria of uniqueness for signal reconstruction from phase",

abstract = "An approach for ascertaining whether a signal is uniquely determined by its Fourier transform phase is proposed. It is shown that uniqueness corresponds to the nonsingularity of a matrix which can be formed from the finite-length real sequence. The criterion of uniqueness for reconstructing a one-dimensional finite-length sequence from its phase is discussed. The criterion of uniqueness for reconstructing a multidimensional finite-length sequence is presented",

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AB - An approach for ascertaining whether a signal is uniquely determined by its Fourier transform phase is proposed. It is shown that uniqueness corresponds to the nonsingularity of a matrix which can be formed from the finite-length real sequence. The criterion of uniqueness for reconstructing a one-dimensional finite-length sequence from its phase is discussed. The criterion of uniqueness for reconstructing a multidimensional finite-length sequence is presented

U2 - 10.1109/78.80933

DO - 10.1109/78.80933

M3 - Article

SN - 1053-587X

VL - 39

SP - 989

EP - 992

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 4

ER -

Novel criteria of uniqueness for signal reconstruction from phase

Abstract

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