A criterion for simplicity, D norm criterion V (sub 2 infinity ) , and a noniterative algorithm (MEDD) proposed by Cabrelli, are based on the Varimax norm V (sub 2 4 ) of the minimum entropy deconvolution (MED). Mathematical analysis of the MEDD algorithm reveals that some part of the MEDD computation is unnecessary. In this paper, we present a fast algorithm (FD) which gives the same results as the MEDD algorithm but is ten times more efficient than MEDD. To improve the results of the MEDD algorithm, a new computational procedure (FD-MEDP) is also advanced and some numerical examples show the advantages of the new procedure.

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