In Chapter 1, I will introduce the current cosmological model and review the theoretical aspects of the CMB anisotropies and the present status of the observations. In Chapter 2, I will focus on the diffuse emissions of our Galaxy in the microwaves, expected to be a serious contamination for the CMB studies. The separation of these diffuse components and the CMB cleaning will be the main topic of Chapter 3, where I will describe a few algorithms I’ve worked on during my Phd . Finally, in Chapter 4, I will present a couple of applications of these methods aimed at B mode recovery.
