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Phase properties of a class of random processes
Author(s) -
Nigam N. C.
Publication year - 1982
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290100508
Subject(s) - statistical physics , stochastic process , derivative (finance) , class (philosophy) , phase (matter) , basis (linear algebra) , frequency domain , character (mathematics) , white noise , mathematics , computer science , physics , mathematical analysis , statistics , geometry , quantum mechanics , artificial intelligence , financial economics , economics
The probability structure of the phase derivative of a class of random processes is derived in the time‐ and frequency‐domains. It is shown that in the time‐domain the phase derivative reflects the spectral properties of a stationary random process; whereas in the frequency‐domain the phase derivative reflects the non‐stationary character of a modulated white‐noise random process. The analysis provides a theoretical basis for the qualitative conclusions drawn in some recent investigations regarding the properties of the phase derivatives of earthquake ground accelerations.