Universal analytic properties of noise: introducing the<i>J</i>-matrix formalism
Universal analytic properties of noise: introducing the<i>J</i>-matrix formalism
We propose a new method in the spectral analysis of noisy time-series data for damped oscillators. From the Jacobi three terms recursive relation for the denominators of the Padé approximations built on the well-known Z-transform of an infinite time series, we build a Hilbert space operator, a J-operator, where each …