Blind Identification of Under-determined Complex Mixtures of Independent Sources
Pierre Comon and Myriam Rajih
In: IEEE Sensor Array and Multichannel (SAM) Signal Processing Workshop, 18-21 July 2004, Barcelona, Spain.
This paper is devoted to under-determined linear mixtures of
independent random variables (i.e. with more inputs than
outputs). Blind identifiability of general under-determined mixtures
is first discussed, and the maximum number of sources is given,
depending on the hypotheses assumed. Then an algorithm proposed by
Taleb, essentially usable for 2-dimensional mixtures,
is extended to the complex field. A procedure is proposed in order
to avoid the enormous increase in complexity.
Computer simulations demonstrate the ability of the algorithm to
identify mixtures of N QPSK sources received on 1 sensor.