Investigation of nonlinear transformations of the signal spectrum

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Kosarev, A.^1 ; Apushkinskiy, E.^1 ; Maximov, K.^1 ; Ripchinskaya, E.^1 ; Shamray, P.^1

St. Petersburg Polytechnical University, St. Petersburg

195251, Russia^1

关键词: Degree of non-linearity;    External perturbations;    External signals;    Non-linear transformations;    Numerical results;    Signal spectrum;    Spectral domains;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012025/pdf
DOI  :  10.1088/1742-6596/574/1/012025

来源: IOP

【 摘 要 】

We consider various echo-processes having different nature and discuss their mathematical models based on the special nonlinear transformations in the spectral domain. It is shown that the presence of a power polynomial in the spectral domain results in a delay of the external perturbation (signal). The correspondence between the degree of nonlinearity and arising delayed signals is established. The agreement between the numerical results and experimental data is demonstrated for several external signals.