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J. Appl. Phys. 44, 477 (1973); http://dx.doi.org/10.1063/1.1661908 (9 pages)
Zero‐crossing intervals of Gaussian processes
(Received 3 July 1972)
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Add to FacebookThe correlation between successive zero‐crossing intervals and their probability densities is experimentally studied for Gaussian processes having power spectra of Butterworth type. The assumption that successive zero‐crossing intervals from a Markov chain in the wide sense is found valid only for a process having a narrow‐band spectrum. The correlation coefficients between the lengths of several successive zero‐crossing intervals of a Gaussian process having a broad‐band spectrum decay slowly and reveal a peculiar oscillatory behavior as the number of intervals is increased. These results are interpreted by introducing a model. Results for Gaussian processes having power spectra of type (f∕f0)2m[1+ (f∕f0)2]−n are also given. The correlation of intervals is also determined by means of a single interval counter making efficient use of the so‐called bias effect, and its results agree closely with those from ordinary measurements using two interval counters.
© 1973 American Institute of Physics
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