dc.contributor.author Walk, Philipp dc.contributor.author Hassibi, Babak dc.date.accessioned 2018-01-04T07:51:42Z dc.date.available 2018-01-04T07:51:42Z dc.date.issued 2017-10-22 dc.identifier.uri http://hdl.handle.net/10754/626728 dc.description.abstract Recently 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.publisher arXiv dc.relation.url http://arxiv.org/abs/1710.07879v1 dc.relation.url http://arxiv.org/pdf/1710.07879v1 dc.title Stable Blind Deconvolution over the Reals from Additional Autocorrelations dc.type Preprint dc.contributor.institution Department of Electrical Engineering, Caltech, Pasadena, CA 91125 dc.identifier.arxivid 1710.07879 dc.version v1
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