GCV-aided linear reconstruction of the wave distribution function for the ground-based direction finding of magnetospheric VLF/ELF waves

Abstract

For the purpose of the direction finding of magnetospheric VLF/ELF radio waves, the reconstruction of the wave distribution function has been studied on the linear regularization of Phillips-Tikhonov type and on the associated optimization with the generalized cross-validation (GCV) in numerically analyzing spectral matrix data. On the ground-based wave observation, one finds by numerical simulation that the GCV well behaves in spite of the small number of data and that the linear algebra approach has the advantages of automatically selecting the best image and of computational facility. From the results of simulation the feasibility of direction finding is discussed.