We present a maximum-entropy method (MEM) and 'Mexican hat' wavelet (MHW) j
oint analysis to recover the different components of the microwave sky from
simulated observations by the ESA Planck Surveyor satellite in a small pat
ch of the sky (12.8 X 12.8 deg(2)). This combined method allows one to impr
ove the CMB, Sunyaev-Zel'dovich and Galactic foregrounds separation achieve
d by the MEM technique alone. In particular, the reconstructed CMB map is f
ree from any bright point-source contamination. The joint analysis also pro
duces point-source catalogues at each Planck frequency that are more comple
te and accurate than those obtained by either method on its own. The result
s are especially improved at high frequencies where infrared galaxies domin
ate the point-source contribution. Although this joint technique has been p
erformed on simulated Planck data, it could easily be applied to other mult
ifrequency CMB experiments, such as the forthcoming NASA MAP satellite or t
he recently-performed BOOMERANG and MAXIMA experiments.