Higher-Order Spectra of Cluster Point Processes Generating 1/f Fluctuations.

Toshimitsu TAKAHASHI; Mitsuyuki NAKAO; Ferdinand GRÜNEIS; Yoshinari MIZUTANI; Mitsuaki YAMAMOTO

doi:10.4036/iis.1998.51

Higher-Order Spectra of Cluster Point Processes Generating 1/f Fluctuations.

Interdisciplinary Information Sciences ◽

10.4036/iis.1998.51 ◽

1998 ◽

Vol 4 (1) ◽

pp. 51-64 ◽

Cited By ~ 1

Author(s):

Toshimitsu TAKAHASHI ◽

Mitsuyuki NAKAO ◽

Ferdinand GRÜNEIS ◽

Yoshinari MIZUTANI ◽

Mitsuaki YAMAMOTO

Keyword(s):

Point Processes ◽

Higher Order ◽

Cluster Point ◽

Higher Order Spectra

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Induction machine condition monitoring with higher order spectra

IEEE Transactions on Industrial Electronics ◽

10.1109/41.873211 ◽

2000 ◽

Vol 47 (5) ◽

pp. 1031-1041 ◽

Cited By ~ 121

Author(s):

N. Arthur ◽

J. Penman

Keyword(s):

Condition Monitoring ◽

Induction Machine ◽

Higher Order ◽

Machine Condition ◽

Machine Condition Monitoring ◽

Higher Order Spectra

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Detection of subthalamic nucleus using novel higher-order spectra features in microelectrode recordings signals

Journal of Applied Biomedicine ◽

10.1016/j.bbe.2021.04.016 ◽

2021 ◽

Author(s):

Mohamed Hosny ◽

Minwei Zhu ◽

Wenpeng Gao ◽

Yili Fu

Keyword(s):

Subthalamic Nucleus ◽

Higher Order ◽

Microelectrode Recordings ◽

Higher Order Spectra

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Induction machine condition monitoring with higher order spectra. II. Variable frequency operation and automated diagnosis

IECON '98. Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.98CH36200) ◽

10.1109/iecon.1998.723031 ◽

2002 ◽

Cited By ~ 5

Author(s):

N. Arthur ◽

J. Penman ◽

A. McLean ◽

A. Parsons

Keyword(s):

Condition Monitoring ◽

Induction Machine ◽

Higher Order ◽

Variable Frequency ◽

Machine Condition ◽

Automated Diagnosis ◽

Machine Condition Monitoring ◽

Higher Order Spectra

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Convergence to equilibrium in a traffic model with restricted passing

Journal of Applied Probability ◽

10.2307/3213153 ◽

1979 ◽

Vol 16 (4) ◽

pp. 881-889 ◽

Cited By ~ 2

Author(s):

Hans Dieter Unkelbach

Keyword(s):

Poisson Process ◽

Limit Theorems ◽

Point Processes ◽

Road Traffic ◽

Poisson Processes ◽

Traffic Model ◽

Cluster Point ◽

Convergence To Equilibrium ◽

Constant Intensity

A road traffic model with restricted passing, formulated by Newell (1966), is described by conditional cluster point processes and analytically handled by generating functionals of point processes.The traffic distributions in either space or time are in equilibrium, if the fast cars form a Poisson process with constant intensity combined with Poisson-distributed queues behind the slow cars (Brill (1971)). It is shown that this state of equilibrium is stable, which means that this state will be reached asymptotically for general initial traffic distributions. Furthermore the queues behind the slow cars dissolve asymptotically like independent Poisson processes with diminishing rate, also independent of the process of non-queuing cars. To get these results limit theorems for conditional cluster point processes are formulated.

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