An efficient approach is introduced to implement a digital filter structure
for fast moments calculation. The approach not only improves the computati
on efficiency, but also simplifies possible realisations using both hardwar
e and software. A suitable filter structure for the computation of moments
is reviewed. The improved filter structure is compared with conventional al
gorithms, and yields superior performance over other algorithms in both com
putational speed and complexity. The most time-consuming multiplication ope
rations in traditional approaches can be completely eliminated, and over 60
% of additions in the straightforward method can be avoided. Experimental r
esults show that the approach requires only 20% and 88% of the computation
times of the straightforward and Hatamian's digital filter approaches, resp
ectively.