A fundamental trial on independent component analysis under the introduction of fuzzy theory

The problem of independent component analysis and/or blind signal separation becomes a very popular and emerging field of research, because the problem contains many potential applications. In such a problem, a priori information we can utilize is the statistical independency between source signals. In many actual fields, the independent component analysis must play an essential role but it also contains problems: it cannot be applicable to non-physical quantity like a human psychological or sensory one, etc. This paper proposes a fundamental trial of independent component analysis by introducing the fuzzy theory. More precisely, the parameters of unknown system are estimated on the basis of fuzzy observations. Finally, the effectiveness of this method is confirmed through digital simulation.