%I Elsevier %V 92 %T Iterative reweighted l1 design of sparse FIR filters %P 905-911 %N 4 %J Signal Processing %R 10.1016/j.sigpro.2011.09.031 %X Sparse FIR filters have lower implementation complexity than full filters, while keeping a good performance level. This paper describes a new method for designing 1D and 2D sparse filters in the minimax sense using a mixture of reweighted l1 minimization and greedy iterations. The combination proves to be quite efficient; after the reweighted l1 minimization stage introduces zero coefficients in bulk, a small number of greedy iterations serve to eliminate a few extra coefficients. Experimental results and a comparison with the latest methods show that the proposed method performs very well both in the running speed and in the quality of the solutions obtained. %L eprints1529 %D 2012 %A Cristian Rusu %A Bogdan Dumitrescu %K Sparse filters; Reweighted l1 minimization; Greedy algorithms