Abstract <p>In the paper, a theoretical model describing the power spectra of synchrotron radiation of relativistic electrons in a synthetic turbulent magnetic field has been presented. A numerical calculation of the full power spectra of synchrotron radiation in a turbulent field generated by the harmonic method has been performed, and a model sky picture demonstrating the structure of the spatial inhomogeneity of the synchrotron radiation power distribution for an observer has been constructed. A wavelet analysis and multipole expansion in spherical harmonics have been used to analyze the angular structure. The results confirm the effectiveness of the approach for studying the magnetic field structure in experimental data.</p>