Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-24T09:28:34.455Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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