Multivariate autoregressive model applied to conditioned spectral analysis of complex systems

A method of performing out conditioned spectral analysis without the drawbacks of traditional Fourier-transform-based methods is introduced. The method is based on the estimation of the multivariate autoregressive (MAR) model. Because the MAR model is a black-box model and can describe systems with feedback loops, it is a suitable tool for the analysis of complex systems. Two different approaches for the conditioned spectral matrix in the context of the MAR model are presented. They are the reduced conditioned spectral matrix and the noise conditioned spectral matrix. These spectral quantities offer possibilities in the analysis of systems where no exact prior knowledge about internal structures is available