Cycloergodic Properties of Discrete-Parameter Nonstationary Stochastic Processes

IEEE Transactions on Information Theory

Volumn 29, Issue 1, 1983, Pages 105-114

  Boyles, Russell A ^a   Gardner, William A ^b  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY;

EID: 0020547445     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1983.1056613     Document Type: Article

References (21)

1. E. Parzen, “Spectral analysis of asymptotically stationary time series,” Bull. Inst. Int. Statist., vol. 39, Livraison 2, pp. 87-103, 1962.
2. R. M. Gray and J. C. Kieffer, “Asymptotically mean stationary measures,” Ann. Prob., vol. 8, pp. 962-973, 1980.
3. J. Kampé de Fériet and F. N. Frenkiel, “Correlations and spectra for non-stationary random functions,” Math. Comput., vol. 16, no. 77, pp. 1-21, Jan. 1962.
4. L. I. Gudzenko, “On periodic nonstationary processes,” Radio Eng. Electron. Phys. (USSR), vol. 4, no. 6, pp. 220-224, 1959 (trans.).
5. J. Nedoma, “Uber die ergodizität and r-ergodizitat stationärer Wahrscheinlichkeitsmasse,” Z. Wahrscheinlichkeitstheorie, vol. 2, pp. 90-97, 1963.
6. H. L. Hurd, “An investigation of periodically correlated stochastic processes,” Ph.D. dissertation, Duke University, Durham, NC, 1969.
7. W. A. Gardner and L. E. Franks, “Characterization of cyclostationary random signal processes,” IEEE Trans. Inform. Theory, vol. IT-21, pp. 4-14, Jan. 1975.
8. W. A. Gardner, “Stationarizable random processes,” IEEE Trans. Inform. Theory, vol. IT-24, pp. 8-22, Jan. 1978.
9. C. Corduneanu, Almost Periodic Functions. New York: Wiley 1961.
10. J. R. Blum and D. L. Hanson, “On quasi-periodic probability measures,” J. Math. Mech., vol. 15, pp. 291-303, 1966.
11. K. Jacobs, “Fastperiodische markoffsche prozesse,” Math. Ann., vol. 134, pp. 408-427, 1958.
12. K. Jacobs, “Die ubertragung diskreter informationen durch periodische und fastperiodische kavale,” Math. Ann., vol. 137, pp. 125-135, 1959.
13. K. Jacobs, “Almost periodic sources and channels,” Z. Wahrscheinlichkeitstheorie verw, Geb. 9, pp. 65-84, 1967.
14. L. E. Franks, Signal Theory. Englewood Cliffs, NJ: Prentice-Hall, 1969.
15. W. A. Gardner, “Cyclic spectral analysis,” in Statistical Spectral Analysis: A Non-Probabilistic Theory, in preparation for publication.
16. E. Parzen, Stochastic Processes. San Francisco, CA: Holden-Day, 1962.
17. L. H. Koopmans, The Spectral Analysis of Time Series. New York: Academic, 1974.
18. A. S. Besicovitch, Almost Periodic Functions. New York: Dover Publ., 1954.
19. L. Herbst, “Almost periodic variances,” Ann. Math. Stat., vol. 34, pp. 1549-1557, 1963.
20. K. Jacobs, Measure and Integral. New York: Academic, 1978.
21. J. L. Doob, Stochastic Processes. New York: John Wiley, 1953.