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Applications of Random Process Excursion Analysis by Irina S. Brainina

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3

Estimation of Distribution Densities of Excursion Durations for Random Stationary Broadband Signals

3.1 Estimation of Distribution Density of Zero-Crossing Intervals for Random Processes Symmetrical About Zero

Many problems related to detection of signals against a background of noise, to recognition of signals by their form, etc. are reduced to the problems of finding parameters of excursions above a given level (most often, zero level) in random processes. For instance, the detection, against a background of speech, of harmonic single-frequency and multifrequency signals enabling control and interaction in telephony, such as “ring off” or “disconnection” signals, boils down to recognizing their form. In speech, we always find frequency components ...

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