Variance of a generalized polarity-coincidence spectral-centroid estimator for Gaussian processes

The polarity coincidence estimator of the spectral centroid counts the net number of times the phasor of a stationary Gaussian process crosses a chosen phase-reference straight line through the origin during a time T. By following Pawula's (1968) approach, the covariance of two different simultaneous polarity-coincidence estimates having distinct phase reference lines is derived. This basic result is applied to compute the variance of a generalized polarity-coincidence estimator considering N arbitrarily chosen reference lines.<
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