A modified random telegraph signal with a 1/f PSD

Howard, Roy

doi:10.1109/ICNF.2017.7985938

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Authors

Howard, Roy

Date

2017

Type

Conference Paper

Metadata

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Citation

Howard, R. 2017. A modified random telegraph signal with a 1/f PSD.

Source Title

2017 International Conference on Noise and Fluctuations, ICNF 2017

DOI

10.1109/ICNF.2017.7985938

ISBN

9781509027606

School

Department of Electrical and Computer Engineering

URI

http://hdl.handle.net/20.500.11937/56946

Collection

Curtin Research Publications

Abstract

© 2017 IEEE. A simple as possible random process - a random telegraph signal with independent amplitudes, and underpinned by a point process with inter-arrival times specified by a one sided Cauchy probability density function, is shown to have a 1/f power spectral density. Integral, and statistical, expressions for the number of points in a set interval, and the arrival time of the kth point, are specified. An approximate analytical expression for the zero crossing time probability density function is specified. Simulation results verify the theory.