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dc.contributor.authorWalk, Philipp
dc.contributor.authorHassibi, Babak
dc.date.accessioned2018-01-04T07:51:42Z
dc.date.available2018-01-04T07:51:42Z
dc.date.issued2017-10-22
dc.identifier.urihttp://hdl.handle.net/10754/626728
dc.description.abstractRecently the one-dimensional time-discrete blind deconvolution problem was shown to be solvable uniquely, up to a global phase, by a semi-definite program for almost any signal, provided its autocorrelation is known. We will show in this work that under a sufficient zero separation of the corresponding signal in the $z-$domain, a stable reconstruction against additive noise is possible. Moreover, the stability constant depends on the signal dimension and on the signals magnitude of the first and last coefficients. We give an analytical expression for this constant by using spectral bounds of Vandermonde matrices.
dc.publisherarXiv
dc.relation.urlhttp://arxiv.org/abs/1710.07879v1
dc.relation.urlhttp://arxiv.org/pdf/1710.07879v1
dc.titleStable Blind Deconvolution over the Reals from Additional Autocorrelations
dc.typePreprint
dc.contributor.institutionDepartment of Electrical Engineering, Caltech, Pasadena, CA 91125
dc.identifier.arxividarXiv:1710.07879
dc.versionv1


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