Blind separation of disjoint orthogonal signals: demixing N sourcesfrom 2 mixtures
Jourjine, A.
Rickard, S.
Yilmaz, O.
Siemens Corp. Res. Inc., Princeton, NJ;
Abstract
We present a novel method for blind separation of any number of
sources using only two mixtures. The method applies when sources are
(W-)disjoint orthogonal, that is, when the supports of the (windowed)
Fourier transform of any two signals in the mixture are disjoint sets.
We show that, for anechoic mixtures of attenuated and delayed sources,
the method allows one to estimate the mixing parameters by clustering
ratios of the time-frequency representations of the mixtures. The
estimates of the mixing parameters are then used to partition the
time-frequency representation of one mixture to recover the original
sources. The technique is valid even in the case when the number of
sources is larger than the number of mixtures. The general results are
verified on both speech and wireless signals
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