  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.
