Zero-crossing rates of mixtures and products of gaussian processes

IEEE Transactions on Information Theory

Volumn 44, Issue 4, 1998, Pages 1672-1677

  Barnett, John T ^a   Kedem, Benjamin ^b  

^a Navigation and Applied Sciences Department   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

Autocorrelation; Cosine formula; Expected zero crossing rate; Non gaussian processes; Rice's formula

Indexed keywords

THEOREM PROVING; TIME DOMAIN ANALYSIS;

AUTOCORRELATION FUNCTIONS; EXPECTED ZERO CROSSING RATES; NON GAUSSIAN PROCESSES; RICE'S FORMULA;

CORRELATION METHODS;

EID: 0032122215     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.681350     Document Type: Article

References (18)

1. J. T. Barnett and B. Kedem, "Zero-crossing rates of functions of Gaussian processes," IEEE Trans. Inform. Theory, vol. 37, pp. 1188-1194, 1991.
2. P. Billingsley, Probability and Measure. New York: Wiley, 1986.
3. S.-H. Chang, G. E. Pihl, and M. W. Essigmann, "Representations of speech sounds and some of their statistical properties," Proc. IRE, vol. 39, pp. 147-153, 1951.
4. H. Chernoff, "A note on an inequality involving the normal distribution," Ann. Prob., vol. 9, pp. 533-535, 1981.
5. J. L. Doob, Stochastic Processes. New York: Wiley, 1953.
6. S. He and B. Kedem, "On the Stieltjes-Sheppard orthant probability formula," Tech. Rep. TR89-69, Math. Dept. Univ. Maryland, College Park, 1989.
7. J. F. Heagy et al., "Characterization of on-off intermittency," Phys. Rev. E, vol. 49, pp. 1140-1150, 1994.
8. M. B. Ito and R. W. Donaldson, "Zero-crossing measurements for analysis and recognition of speech sounds," IEEE Trans. Audio Electroacoust., vol. AE-19, pp. 235-242, 1971.
9. B. Kedem, Binary Time Series. New York: Dekker, 1980.
10. B. Kedem et al., "Estimation of mean rain rate: Application to satellite observations," J. Geophys. Res., vol. 95, pp. 1965-1972, 1990.
11. B. Kedem, "Elliptically symmetric orthant probabilities," Amer. Statistician, vol. 45, p. 256, 1991.
12. _, Time Series Analysis by Higher Order Crossings. Piscataway, NJ: IEEE Press, 1994.
13. M. R. Leadbetter, G. Lindgren, and H. Rootzén, Extremes and Related Properties of Random Sequences and Processes. New York: SpringerVerlag, 1983. [14] J. A. McFadden, "The axis-crossing intervals of random functions," IRE Trans. Inform. Theory, vol. IT-2, pp. 146-150, 1956.
14. G.-B. Ou and R. B. Herrmann, "A statistical model for ground motion produced by earthquakes at local and regional distances," Bull. Seism. Soc. Amer., vol. 80, pp. 1397-1417, 1990.
15. S. Redner, "Random multiplicative processes: An elementary tutorial," Amer. J. Phys., vol. 53, no. 3, pp. 267-273, 1990.
16. S. O. Rice, "Mathematical analysis of random noise," reprinted in Noise and Stochastic Processes, N. Wax, Ed. New York: Dover, 1944.
17. G. L. Wise, A. P. Traganitis, and J. B. Thomas, "The effect of a memoryless nonlinearity on the spectrum of a random process," IEEE Trans. Inform. Theory, vol. IT-23, pp. 84-89, 1977.
18. N. D. Ylvisaker, "The expected number of zeros of a stationary Gaussian process," Ann. Statist., vol. 36, pp. 1043-1046, 1965.