On Second-Order Statistics of the Log-Average Periodogram for Gaussian Processes

Karolina Klockmann, Tatyana Krivobokova · IEEE Signal Processing Letters · 2024

We present an approximate expression for the covariance of the log-average periodogram for a zero mean stationary Gaussian process. Our findings extend existing results on the covariance of the log-periodogram by additionally taking averaging over adjacent frequencies into account. Moreover, we provide a simple expression for the non-integer moments of a non-central chi-squared distribution.

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