TheoryΒΆ

This section focuses solely on the autocorrelation integral itself. The (physical) properties associated with this integral are discussed later.

Some derivations presented here can also be found in other sources. They are included to enhance accessibility and to provide all the necessary details for implementing STACIE.

First, the notation is defined, and an overview is presented of how STACIE works. The derivation comprises three main parts:

  • A model for the low-frequency part of the power spectrum,

  • an algorithm to estimate the parameters of this model, from which the autocorrelation integral and its uncertainty can be derived,

  • and an algorithm to determine the frequency cutoff used to identify the low-frequency part of the spectrum.