Improved algorithm for constrained roundoff noiseminimisation indigital filters
Chun Xiao · Electronics Letters · 1995
An improved algorithm is derived for minimising the global roundoff noise gain Ḡ of nth-order digital filters, yielding at least n(n – 1)/2 coefficients of the filter structure to be zero. This algorithm is based on the necessary and sufficient conditions for the minimum Ḡ subject to the transformation matrix being triangular, and these conditions are achieved by modifying the Smith and Bomar iterative algorithm.