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Some Results on the Analysis of Random Signals by Means of a Cut‐Counting Process

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2 Author(s)
Miller, Irwin ; Virginia Polytechnic Institute, Blacksburg, Virginia ; Freund, John E.

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The variance of the number of zeros of a Gaussian signal on a short time interval was derived in a recent paper by Steinberg, et al. This result is generalized to include the covariance of the number of zeros of a Gaussian signal at the values θ1 and θ2, using a somewhat different mathematical approach. A special case with θ12=θ gives the variance of the number of times the signal equals θ on a given time interval.

Published in:

Journal of Applied Physics  (Volume:27 ,  Issue: 11 )