# Stable Blind Deconvolution over the Reals from Additional Autocorrelations

@article{Walk2017StableBD, title={Stable Blind Deconvolution over the Reals from Additional Autocorrelations}, author={P. Walk and B. Hassibi}, journal={ArXiv}, year={2017}, volume={abs/1710.07879} }

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… CONTINUE READING

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