Mutual information in the frequency domain

Journal of Statistical Planning and Inference

Volumn 137, Issue 3, 2007, Pages 1076-1084

  Brillinger, David R ^a   Guha, Apratim ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Coherence; Correlation; Frequency domain; Mutual information; Time series

Indexed keywords

EID: 33750528795     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.06.026     Document Type: Article

References (19)

1. Aki K., and Richards P.G. Quantitative Seismology (1980), Freeman, San Francisco
2. Antos A., and Kontoyiannis Y. Convergence properties of functional estimates for discrete distributions. Random Structures and Algorithms 19 (2001) 163-193
3. Brillinger, D.R., 1975. Time Series: Data Analysis and Theory. Holt New York. Reprinted in 2001 as a SIAM Classic in Applied Mathematics.
4. Brillinger D.R. Second-order moments and mutual information in the analysis of time series. In: Chaubey Y.P. (Ed). Recent Advances in Statistical Methods (2002), Imperial College Press, London 64-76
5. Brillinger D.R. Some data analyses using mutual information. Brazilian J. Probab. Statist. 18 (2004) 163-183
6. Christensen R. Log-linear Models for Logistic Regression (1997), Springer, New York
7. Cover T.M., and Thomas J.A. Elements of Information Theory (1991), Wiley, New York
8. Darbellay, G., 1998. An adaptive histogram estimator for mutual information. UTIA Research Report 1889. Academy of Sciences, Prague.
9. Gelfand I.M., and Yaglom A.M. Calculation of the amount of information about a random function contained in another such function. Amer. Math. Soc. Transl. Ser. 2 12 (1959) 99
10. Granger C.W.J., and Lin J.-L. Using the mutual information coefficient to identify lags in nonlinear models. J. Time Series Anal. 15 (1994) 371-384
11. Joe H. Estimation of entropy and other functionals of a multivariate density. Ann. Inst. Statist. Math. 41 (1989) 683-697
12. Kantz H., and Schreiber T. Nonlinear Time Series Analysis (1997), Cambridge, Cambridge
13. Mars N.J.I., and van Aragon G.W. Time delay estimation in non-linear systems using average amount of mutual information analysis. Signal Process. 4 (1982) 139-153
14. Moddemeijer R. On estimation of entropy and mutual information of continuous distributions. Signal Process. 16 (1989) 233-248
15. Moddemeijer R. A statistic to estimate the variance of the histogram-based mutual information estimator based on dependent pairs of observations. Signal Process. 75 (1999) 51-63
16. Moon Y.I., Rajagopalan B., and Lall U. Estimation of mutual information using kernel density estimators. Phys. Rev. E 52 (1995) 2318-2321
17. Pluim J.P.W., Maintz J.B.A., and Viergever M.A. Mutual information based registration of medical images: a survey. IEEE Trans. Med. Imag. XX (2003) 1-21
18. Shannon, C.E., 1948. A mathematical theory of communication. Bell System Tech. J. 27, 379-423, 623-656.
19. Strong S.P., Koberle R., de Ruyter van Steveninck R.R., and Bialek W. Entropy and information in neural spike trains. Phys. Rev. Lett. 80 (1998) 197-200