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We present statistical analysis of diffuse Galactic synchrotron emission andpolarized thermal emission from dust. Both Galactic synchrotron emission andpolarized thermal emission from dust reflect statistics of magnetic fieldfluctuations and, therefore, Galactic turbulence. We mainly focus on therelation between observed angular spectra and underlying turbulence statistics.Our major findings are as follows. First, we find that magnetohydrodynamic(MHD) turbulence in the Galaxy can indeed explain diffuse synchrotron emissionfrom high galactic latitude. Our model calculation suggests that either aone-component extended halo model or a two-component model, an extended halocomponent (scale height > 1kpc) plus a local component, can explain theobserved angular spectrum of the synchrotron emission. However, discretesources seem to dominate the spectrum for regions near the Galactic plane.Second, we study how star-light polarization is related with polarized emissionfrom thermal dust. We also discuss the expected angular spectrum of polarizedemission from thermal dust. Our model calculations suggest that C_l\proptol^{-11/3} for l > 1000 and a shallower spectrum for l < 1000.

Statistics of Galactic Synchrotron and Dust Foregrounds: Spectra, PDFs and Higher-Order Moments