data, the L1 approach performs even worse than the L2 approach. For p < 1 it is possible to show that there exists a value 0 <p < 1 for which the solution is maximally sparse. The non-quadratic formulation of the priors may be linked to previous works using Markov Random Fields [18,19]. Experiments in [20] show that the L1 approach demands more computational effort in comparision with L2 approaches. It also produced some spurious sources and the source distribution of the solution was very different from the simulated distribution.