Title :
Improved algorithm for constrained roundoff noise minimisation in digital filters
Author_Institution :
Dept. of Electr. Eng., Sydney Univ., NSW, Australia
fDate :
1/5/1995 12:00:00 AM
Abstract :
An improved algorithm is derived for minimising the global roundoff noise gain G 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 G subject to the transformation matrix being triangular, and these conditions are achieved by modifying the Smith and Bomar (1988) iterative algorithm
Keywords :
digital filters; filtering theory; iterative methods; matrix algebra; minimisation; noise; roundoff errors; constrained roundoff noise minimisation; digital filters; global roundoff noise gain; iterative algorithm; nth-order filters; transformation matrix;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19950024
