Blind system identification: instantaneous mixtures of n sources

Abstract

Blind signal processing deals with the outputs of unknown systems excited by unknown sources. In the current work, the case of instantaneous mixtures of n binary antipodal sources that are linearly combined by an unknown system is examined. The parameters of the system can be easily calculated, given the output constellation. The method proposed is based on the geometrical properties of the system output set. In the current method, there is no need to work out any system deflation, since a solvable linear system of equations can be directly formed in order to compute the system's parameters.

Keywords:

• blind system identification
• instantaneous mixtures
• blind signal processing
• geometrical methods
• BSP-DSP

2000 AMS Subject Classification :

• 94A12
• 94A05
• 94A40

Acknowledgements

This work is supported by the ‘EPEAEK Archimedes II’ Programme and funded in part by the European Union (75%) and in part by the Greek Ministry of National Education and Religious Affairs (25%).