Letter limit cycles in residue number system filters
Giancarlo Cardarilli, Martin Hasler · European Transactions on Telecommunications · 1992
Abstract The zero input limit cycle behavior of canonical second order sections of digital filters using a certain kind of Residue Number System (RNS) arithmetic are investigated. It is shown that constant and period two limit cycles are frequent in a large part of the linear stability triangle. Therefore, the designer should either modify the overflow and quantization characteristic, or use filter structures that are not plagued with limit cycles.