@CONFERENCE\{IMM2003-01650, author = "L. K. Hansen and K. B. Petersen", title = "Monaural {ICA} of white noise mixtures is hard", year = "2003", pages = "815-820", booktitle = "Proceedings of {ICA'}2003 Fourth Int. Symp.. on Independent Component Analysis and Blind Signal Separation, Nara Japan, April 4,", volume = "", series = "", editor = "", publisher = "", organization = "", address = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/1650-full.html", abstract = "Separation of monaural linear mixtures of `white' source signals is fundamentally ill-posed. In some situations it is not possible to find the mixing coefficients for the full `blind' problem. If the mixing coefficients are known, the structure of the source prior distribution determines the source reconstruction error. If the prior is strongly multi-modal source reconstruction is possible with low error, while source signals from the typical `long tailed' distributions used in many {ICA} settings can not be reconstructed. We provide a qualitative discussion of the limits of monaural blind separation of white noise signals and give a set of `no go' cases." }