Integration of statistical wave theories with heat diffusion, signal processing, and seismic wave fluctuations

Statistical wave theories have been developed over many years and have been applied to imaging, remote sensing, and communications for geophysical and biological media. There have been increasing interest in integrating statistical wave theories with other disciplines. For example, communication and signal processing through random media have largely studied without using the results of extensive studies on statistical wave theories even though physical problems that are considered are closely related. It is therefore important to integrate the results of statistical wave theories with signal processing. If we include stochastic Green's function and mutual coherence function (MCF) in the formulations of communication, the formulation of channel capacity can show clearly physical characteristics of random media, and the eigenvalues that include Statistical Green's Function and MCF.