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.

Abstract

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.

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