Two expressions including the variance and the correlation coefficient between the level-crossing interval lengths of a stationary random process are derived. If the random process is Gaussian, one can estimate to some extent the correlation between level-crossing intervals. For the Gaussian process having low-pass or band-pass spectra of the seventh-order Butterworth type, the variance and the correlation coefficient are experimentally determined. The level-crossing intervals are found to be mutually dependent in most cases except low-pass spectrum.
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Tadashi MIMAKI, Tsutomu MUNAKATA, Dietrich WOLF, "On the Correlation between Level-Crossing Time Interval Lengths of a Random Process" in IEICE TRANSACTIONS on transactions,
vol. E62-E, no. 9, pp. 583-589, September 1979, doi: .
Abstract: Two expressions including the variance and the correlation coefficient between the level-crossing interval lengths of a stationary random process are derived. If the random process is Gaussian, one can estimate to some extent the correlation between level-crossing intervals. For the Gaussian process having low-pass or band-pass spectra of the seventh-order Butterworth type, the variance and the correlation coefficient are experimentally determined. The level-crossing intervals are found to be mutually dependent in most cases except low-pass spectrum.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e62-e_9_583/_p
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@ARTICLE{e62-e_9_583,
author={Tadashi MIMAKI, Tsutomu MUNAKATA, Dietrich WOLF, },
journal={IEICE TRANSACTIONS on transactions},
title={On the Correlation between Level-Crossing Time Interval Lengths of a Random Process},
year={1979},
volume={E62-E},
number={9},
pages={583-589},
abstract={Two expressions including the variance and the correlation coefficient between the level-crossing interval lengths of a stationary random process are derived. If the random process is Gaussian, one can estimate to some extent the correlation between level-crossing intervals. For the Gaussian process having low-pass or band-pass spectra of the seventh-order Butterworth type, the variance and the correlation coefficient are experimentally determined. The level-crossing intervals are found to be mutually dependent in most cases except low-pass spectrum.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - On the Correlation between Level-Crossing Time Interval Lengths of a Random Process
T2 - IEICE TRANSACTIONS on transactions
SP - 583
EP - 589
AU - Tadashi MIMAKI
AU - Tsutomu MUNAKATA
AU - Dietrich WOLF
PY - 1979
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E62-E
IS - 9
JA - IEICE TRANSACTIONS on transactions
Y1 - September 1979
AB - Two expressions including the variance and the correlation coefficient between the level-crossing interval lengths of a stationary random process are derived. If the random process is Gaussian, one can estimate to some extent the correlation between level-crossing intervals. For the Gaussian process having low-pass or band-pass spectra of the seventh-order Butterworth type, the variance and the correlation coefficient are experimentally determined. The level-crossing intervals are found to be mutually dependent in most cases except low-pass spectrum.
ER -