Nonparametric BDS detector of chaotic signals against the background of white noise

Signal processing correction in spectral analysis using the surrogate autocovariance observation functions obtained by the ATS-algorithm

“…Image of the time series embedded into the pseudo-phase space in nonlinear dynamics is associated with a set of points, which are called attractor [7,8,[14][15][16].…”

“…In [14][15][16] the ATS algorithm and its modifications were used for empirical estimation of the likelihood ratio [14], reduction of the noise impact in chaotic carrier observation during the binary message transmission [16], enhancing the efficiency of parameter estimation of regular and chaotic signals observed against the background of additive noise [15].…”