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A shot process by burst properties

Published online by Cambridge University Press:  01 July 2016

James H. Gilchrist  and
John B. Thomas
James H. Gilchrist
Affiliation:
Princeton University
John B. Thomas
Affiliation:
Princeton University
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Abstract

A shot process with bursts of events is constructed using an occurrence time structure similar to that of clustering point processes. The characteristic function and a simple functional form for the power spectral density of the process are found. It is shown that the burst property might not be observable. Applications of a specific example of this process are given in modeling a 1/f noise commonly found in some electronic components.

Keywords

SHOT PROCESSES1/ωNOISECLUSTERING POINT PROCESS

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 7 , Issue 3 , September 1975 , pp. 527 - 541
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Bartlett, M. S. (1963) The spectral analysis of point processes. J. R. Statist. Soc. B 25, 264–296.Google Scholar
[2] Daley, D. J. (1971) Weakly stationary processes and random measures. J. R. Statist. Soc. B 33, 406–428.Google Scholar
[3] Daly, K. C. and Thomas, J. B. (1970) Theoretical and physical foundations of shot processes. Technical Report No. 30, Department of Electrical Engineering, Princeton University.Google Scholar
[4] Driedonks, F. (1971) Noise of germanium PNN + double injection diodes. Solid-State Electronics 14, 373–375.Google Scholar
[5] Gilbert, E. N. and Pollak, H. O. (1960) Amplitude distribution of shot noise. Bell System Tech. J. 39, 333–350.CrossRefGoogle Scholar
[6] Halford, D. (1968) A general mechanical model for |f| α spectral density random noise with special reference to flicker noise 1/|f|. Proc. IEEE 56, 251–258.Google Scholar
[7] Herzog, G. B. and van der Ziel, A. (1951) Shot noise in germanium single crystals. Physical Review 84, 1249.Google Scholar
[8] Mattson, R. H. and van der Ziel, A. (1953) Shot noise in germanium filaments. J. Appl. Phys. 24, p. 222.Google Scholar
[9] Parzen, E. (1962) Stochastic Processes. Holden Day, San Francisco.Google Scholar
[10] Thompson, B. J., North, D. O. and Harris, W. A. (1940) Fluctuations in space-chargelimited currents at moderately high frequencies. RCA Review 4, 269–285, 441–472, 5, 106–124, 244–260, 371–388, 505–524, 6, 114–124.Google Scholar
[11] Vere-Jones, D. (1970) Stochastic models for earthquake occurrence. J. R. Statist. Soc. B 32, 1–62.Google Scholar
[12] Worch, P. R. and Bilger, H. R. (1970) G – R noise experiments in double-injection silicon diodes operating in the semi-conductor regime. Physica 50, 161–176.CrossRefGoogle Scholar
[13] van der Ziel, A. (1954) Noise. Prentice-Hall, New York.Google Scholar