Spectral representation and asymptotic properties of certain deterministic fields with innovation components
A special class of homogeneous random fields is considered. Cases of complex and real valued random fields are investigated. The spectral representation of the field and its covariance sequence are derived and studied. Properties of the spectral pseudo-density are investigated. The authors derive necessary and sufficient conditions for mean and strong ergodicity of the first and second order moments.
scientific article; zbMATH DE number 2018322
scientific article