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Spectral theory for periodically and almost periodically correlated random processes: a survey.
| Content Provider | CiteSeerX |
|---|---|
| Author | Dehay, Dominique Hurd, Harry L. |
| Abstract | This paper contains a survey of the spectral theory of periodically correlated and almost periodically correlated stochastic processes. These processes are also called cyclostationary and almost cyclostationary, and we give give some remarks concerning the historical development of the two nomenclatures. In this paper we survey the spectral theory of the covariance, the estimation of the Fourier coefficient functions and their corresponding spectral densities, and the spectral representation of the covariance and the process when the process is harmonizable. In addition, we review the role of the unitary operator and the spectral theory for groups of unitary operators in obtaining representations for these processes. This paper appears under the title "Representation and Estimation for Periodically and Almost Periodically Correlated Random Processes" in Cyclostationarity in Communications and Signal Processing, W.A. Gardner, Ed., IEEE Press, 1994. 1 Sponsored by ONR contract N00014-92... |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Spectral Theory Almost Periodically Correlated Random Unitary Operator Onr Contract N00014-92 Historical Development Corresponding Spectral Density Signal Processing Fourier Coefficient Function Stochastic Process W.a. Gardner Almost Periodically Correlated Random Process Spectral Representation Title Representation Ieee Press |
| Content Type | Text |
| Resource Type | Article |
