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Passage times of Gaussian noise crossing a time-varying boundary

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1 Author(s)
Rainal, A.J. ; AT&T Bell Labs., Whippany, NJ, USA

The first and second passage times of a stationary Gaussian process crossing a time-varying boundary were studied in a recent work. The results apply to stationary Gaussian processes having a finite expected rate of level crossings, but they are restricted to time-varying boundaries having zero slope at the origin. Here, the earlier results are extended to include general time-varying boundaries. Some exact, asymptotic probability densities of the first passage time of a stationary Gaussian process crossing a ramp or linear boundaries are developed. Some approximate results concerning the initial behaviors of the probability densities of the first passage times associated with a linear boundary are presented

Published in:

Information Theory, IEEE Transactions on  (Volume:36 ,  Issue: 5 )

Date of Publication:

Sep 1990

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