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Generation of burst noise by nonlinear autoregression
Author(s) -
Kumičák J.
Publication year - 1995
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19955070806
Subject(s) - autoregressive model , waveform , noise (video) , white noise , bistability , physics , nonlinear system , clipping (morphology) , statistical physics , sequence (biology) , generalization , computer science , mathematics , mathematical analysis , telecommunications , quantum mechanics , statistics , artificial intelligence , linguistics , philosophy , image (mathematics) , voltage , biology , genetics
Nonlinear generalization of autoregressive sequence of first order is used as basis for construction of mathematical model of bistable burst noise. It is proved that the noise generated using such a model has Lorentzian spectrum after clipping the white noise component. In passing it is demonstrated that random telegraph signal is obtainable by simple iteration. The proposed model suggests that one should expect to observe temperature dependence of frequency of transitions between the two levels of burst noise waveform.