EOFs of one-dimensional cyclostationary time series: Computations, examples, and stochastic modeling

Journal of the Atmospheric Sciences

Volumn 53, Issue 7, 1996, Pages 1007-1017

  Kim, Kwang Y ^a   North, Gerald R ^a   Huang, Jianping ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM DEVELOPMENT; CSEOF; CYCLOSTATIONARY TIME SERIES; ORTHOGONAL FUNCTION; STOCHASTIC MODELLING; SURFACE TEMPERATURE FIELD;

EID: 0029775318     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1996)053<1007:EOODCT>2.0.CO;2     Document Type: Article

References (30)

1. Barnett, T., 1986: Detection of changes in the global tropospheric temperature field induced by greenhouse gases. J. Geophys. Res., 91, 6659-6667.
2. _, 1991: An attempt to detect the greenhouse-gas signal in a transient GCM simulation. Greenhouse-Gas-Induced Climatic Change: A Critical Appraisal of Simulations and Observations, M. E. Schlesinger, Ed., Elsevier, 559-568.
3. _, and M. Schlesinger, 1987: Detecting changes in global climate induced by greenhouse gases. J. Geophys. Res., 92, 14 472-14 780.
4. _, _, and X. Jiang, 1991: On greenhouse gas signal detection strategies. Greenhouse-Gas-Induced Climatic Change: A Critical Appraisal of Simulations and Observations, M. E. Schlesinger, Ed., Elsevier, 537-558.
5. Epstein, E. S., 1982: Detecting climate change. J. Appl. Meteor., 21, 1172-1182.
6. Gardner, W. A., 1994: Cyclostationarity in Communications and Signal Processing. IEEE Press, 504 pp.
7. _, and L. E. Franks, 1975: Characterization of cyclostationary random signal processes. IEEE Trans. Inform. Theory, 21, 4-14.
8. Hasselmann, K., 1988: PIPs and POPs: The reduction of complex dynamical systems using principal interaction and oscillation patterns. J. Geophys. Res., 93, 11 015-11 021.
9. _, 1993: Optimal fingerprints for the detection of time-dependent climate change. J. Climate, 6, 1957-1971.
10. _, and T. P. Barnett, 1981: Techniques of linear prediction for systems with periodic statistics. J. Atmos. Sci., 38, 2275-2283.
11. Jones, P. D., and K. R. Briffa, 1992: Global surface air temperature variations during the twentieth century. Part 1: Spatial, temporal and seasonal details. Holocene, 2, 165-179.
12. Kim, K.-Y., and G. R. North, 1991: Surface temperature fluctuations in a stochastic climate model. J. Geophys. Res., 96, 18 573-18 580.
13. _, and _, 1992: Seasonal cycle and second-moment statistics of a simple coupled climate system. J. Geophys. Res., 97, 20 437-20 448.
14. _, and _, 1993: EOF analysis of surface temperature field in a stochastic climate model. J. Climate, 6, 1681-1690.
15. Madden, R. A., 1977: Estimates of the autocorrelations and spectra of seasonal mean temperatures over North America. Mon. Wea. Rev., 105, 9-18.
16. Newton, H. J., 1988: TIMESLAB: A Time Series Analysis Laboratory. Wadsworth and Brooks, 623 pp.
17. North, G. R., and K.-Y. Kim, 1995: Detection of forced climate signals. Part II: Numerical simulations. J. Climate, 8, 409-417.
18. _, _, S. S. P. Shen, and J. W. Hardin, 1995: Detection of forced climate signals. Part I: Theory. J. Climate, 8, 401-408.
19. Parzen, E., and M. Pagano, 1979: An approach to modeling seasonally stationary time series. J. Econometrics, 9, 137-153.
20. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, 1988: Numerical Recipes. 3d ed. Cambridge University Press, 818 pp.
21. Santer, B. D., T. M. L. Wigley, P. D. Jones, and M. E. Schlesinger, 1991: Multivariate methods for the detection of greenhouse-gas-induced climate change. Greenhouse-Gas-Induced Climatic Change: A Critical Appriaisal of Simulations and Observations, M. Schlesinger, Ed., Elsevier, 511-536.
22. _, _, and _, 1993: Correlation methods in fingerprint detection studies. Climate Dyn., 8, 265-276.
23. _, W. Brüggemann, U. Cubasch, K. Hasselmann, H. Hock, E. Maier-Reimer, and U. Mikolajewicz, 1994: Signal-to-noise analysis of time-dependent greenhouse warming experiments. Climate Dyn., 9, 267-285.
24. Shen, S. S., G. R. North, and K.-Y. Kim, 1994: Spectral approach to optimal estimation of the global average temperature. J. Climate, 7, 1999-2007.
25. Smith, R. A., 1969: Wave Mechanics of Crystalline Solids. Chapman and Hall, 553 pp.
26. von Storch, H., and F. W. Zwiers, 1988: Recurrence analysis of climate sensitivity experiments. J. Climate, 1, 157-171.
27. _, T. Bruns, I. Fischer-Bruns, and K. Hasselmann, 1988: Principal oscillation pattern analysis of the 30 to 60 day oscillation in general climate model equatorial troposphere. J. Geophys. Res., 93, 11 022-11 036.
28. _, G. Bürger, R. Schnur, and J.-S. von Storch, 1995: Principal oscillation patterns: A review. J. Climate, 8, 377-400.
29. Wallace, J. M., and R. Dickinson, 1972: Empirical orthogonal representation of time series in the frequency domain. Part I: Theoretical considerations. J. Appl. Meteor., 11, 887-892.
30. Zwiers, F. W., and H. von Storch, 1989: Multivariate recurrence analysis. J. Climate, 2, 1538-1553.