Journal ArticleDOI
Experimental results on the level-crossing intervals of Gaussian processes (Corresp.)
T. Mimaki,T. Munakata +1 more
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The statistical properties of the level-crossing intervals of Gausslan random process are experimentally studied and the correlation coefficients between successive level- crossing intervals are measured for Gaussian processes having a seventh-order Butterworth power spectral density.Abstract:
The statistical properties of the level-crossing intervals of Gausslan random process are experimentally studied. The probability density functions and variances of the level-crossing intervals and the correlation coefficients between successive level-crossing intervals are measured for Gaussian processes having a seventh-order Butterworth power spectral density.read more
Citations
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Journal ArticleDOI
False alarm and correct detection probabilities over a time interval for restricted classes of failure detection algorithms
TL;DR: By performing a discrete-time specialization of a result of Gallager and Helstrom on a tightened upper bound for continuous-time level-crossing probabilities, upper bounds on the probabilities of false alarm and correct detection over a time interval have been obtained for the specific technique of CR2 tailnre detection.
Journal ArticleDOI
First and second passage times of Rayleigh processes (Corresp.)
TL;DR: Approximate integral equations are developed whose solutions yield approximate probability densities concerning the first and second passage times of R(t,a) and the resulting probability functions are presented in graphs for the case when the power spectral density of the noise is Gaussian.
Dissertation
Characterization and Modeling of Slice-based Video Traffic
TL;DR: New methods to characterize and analyze video traffic in a network perspective are proposed in order to estimate some key network performance parameters, and a Gaussian model is developed for the video traffic.
Journal ArticleDOI
The multipeak property of the distribution densities of the level-crossing intervals of a Gaussian random process (Corresp.)
T. Mimaki,M. Tanabe,D. Wolf +2 more
TL;DR: The distribution density of the level-crossing time intervals of a Gaussian process reveals more than one peak if the crossing level becomes negative, and the number and height of the peaks depend on the spectrum bandwidth of theGaussian process.
Journal ArticleDOI
A study on the multi-peak properties of the level-crossing intervals of a random process
T. Mimaki,Hiroshi Sato,M. Tanabe +2 more
TL;DR: In this article, it is shown that the renewal function at an arbitrary level is proportional to the function at a reference level and to the probability that the original process stays above the level.
References
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Journal ArticleDOI
Mathematical analysis of random noise
TL;DR: In this paper, the authors used the representations of the noise currents given in Section 2.8 to derive some statistical properties of I(t) and its zeros and maxima.
Journal ArticleDOI
Stationary and Related Stochastic Processes
Journal ArticleDOI
Level-crossing problems for random processes
I. Blake,William C. Lindsey +1 more
TL;DR: A survey of known results on certain aspects of the level-crossing properties of random processes is presented and provides a basis for further study in the area.
Journal ArticleDOI
Distribution of the duration of fades in radio transmission: Gaussian noise model
TL;DR: Estimates of the distribution of the fade lengths for various depths of fades are given, and relations which may be useful in analyzing fading data are derived.