%0 Journal Article %1 hayes80 %A Hayes, Monson H. %A Lim, Jae S. %A Oppenheim, Alan V. %D 1980 %J Acoustics, Speech and Signal Processing, IEEE Transactions on %K dft fourier hilbert %N 6 %P 672--680 %R 10.1109/TASSP.1980.1163463 %T Signal Reconstruction from Phase or Magnitude %V 28 %X In this paper, we develop a set of conditions under which a sequence is uniquely specified by the phase or samples of the phase of its Fourier transform, and a similar set of conditions under which a sequence is uniquely specified by the magnitude of its Fourier transform. These conditions are distinctly different from the minimum or maximum phase conditions, and are applicable to both one-dimensional and multidimensional sequences. Under the specified conditions, we also develop several algorithms which may be used to reconstruct a sequence from its phase or magnitude.

@article{hayes80, abstract = {In this paper, we develop a set of conditions under which a sequence is uniquely specified by the phase or samples of the phase of its Fourier transform, and a similar set of conditions under which a sequence is uniquely specified by the magnitude of its Fourier transform. These conditions are distinctly different from the minimum or maximum phase conditions, and are applicable to both one-dimensional and multidimensional sequences. Under the specified conditions, we also develop several algorithms which may be used to reconstruct a sequence from its phase or magnitude.}, added-at = {2015-11-05T12:45:37.000+0100}, author = {Hayes, Monson H. and Lim, Jae S. and Oppenheim, Alan V.}, biburl = {https://www.bibsonomy.org/bibtex/2cb5d618619c457085eb1ba55569a2c59/ytyoun}, doi = {10.1109/TASSP.1980.1163463}, interhash = {bc03085da0291a99ccd3aa5881107e2a}, intrahash = {cb5d618619c457085eb1ba55569a2c59}, issn = {0096-3518}, journal = {Acoustics, Speech and Signal Processing, IEEE Transactions on}, keywords = {dft fourier hilbert}, month = dec, number = 6, pages = {672--680}, timestamp = {2015-11-06T06:43:22.000+0100}, title = {Signal Reconstruction from Phase or Magnitude}, volume = 28, year = 1980 }