Symbolic sensitivity analysis of the newsecond-order iir structure

Abstract

An high-order IIR (In fi nite im pulse re sponse) fil ter is usu ally re al ized in the form of a cas cade or in the form of a par al lel con nec tion of sec ond-order sec tions. Con sequently, it is of in ter est to study prop er ties of a sec ond-order dig i tal fil ter struc tures. To this end, in this pa per we pro pose a new sec ond-order IIR fil ter struc ture. The ef fect of mul ti plier co ef fi cient quantization of the pro posed struc ture is an a lyzed us ing the MATLAB-based sym bolic anal y sis. The sen si tiv ity ma trix of the struc ture is com puted in a sym bolic form and its pole sen si tiv i ties are com pared with that of other known struc tures.

Digital Filter Design Using Computer Algebra Systems

“…They can be used to effectively search for new solutions, see e.g. [3], where a new low-sensitivity structure has been derived. Nowadays, computer programs enable a knowledge about the design of algorithms, and can be used to employ that knowledge in symbolic manipulations.…”