A modified random telegraph signal with a 1/f PSD
© 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...
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| Format: | Conference Paper |
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2017
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| Online Access: | http://hdl.handle.net/20.500.11937/56946 |
| _version_ | 1848759976766472192 |
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| author | Howard, Roy |
| author_facet | Howard, Roy |
| author_sort | Howard, Roy |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 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. |
| first_indexed | 2025-11-14T10:08:26Z |
| format | Conference Paper |
| id | curtin-20.500.11937-56946 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:08:26Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-569462017-09-27T10:49:11Z A modified random telegraph signal with a 1/f PSD Howard, Roy © 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. 2017 Conference Paper http://hdl.handle.net/20.500.11937/56946 10.1109/ICNF.2017.7985938 restricted |
| spellingShingle | Howard, Roy A modified random telegraph signal with a 1/f PSD |
| title | A modified random telegraph signal with a 1/f PSD |
| title_full | A modified random telegraph signal with a 1/f PSD |
| title_fullStr | A modified random telegraph signal with a 1/f PSD |
| title_full_unstemmed | A modified random telegraph signal with a 1/f PSD |
| title_short | A modified random telegraph signal with a 1/f PSD |
| title_sort | modified random telegraph signal with a 1/f psd |
| url | http://hdl.handle.net/20.500.11937/56946 |