Basics on the continuous and discrete wavelet transform with two scales are outlined. We study maps representing anisotropies in the cosmic microwave background radiation (CMB) and the relation to the standard approach, based on the C-l's, is established through the introduction of a wavelet spectrum. We apply this technique to small angular scale CMB map simulations of size similar or equal to 12.8 degrees x 12.8 degrees and filtered with a 4'.5 Gaussian beam. This resolution resembles the experimental one expected for future high resolution experiments (e.g, the Planck mission), We consider temperature fluctuations derived from standard, open and flat-Lambda CDM models, We also introduce Gaussian noise (uniform and non-uniform) at different S/N levels and results are given regarding denoising.