Fig. 3.
SBL and l1 sparseness metrics compared to the desired l0 norm (dotted line). Each curve represents the sparseness metric for an arbitrary vector w with only K = 1, … , 5 non-zero coefficients at any position. All the non-zero weights are given the same magnitude r for different values of r on the x axis Ideally, we would like the sparseness metric to be inversely proportional to the the l0 norm, which will be equal to the number of non-zero components (K) regardless of the value of the components themselves (i.e. r). Note that the SBL metric approximates better the l0 norm, while l1 norm deviates significantly from this ideal behavior.