Elimination of granularity and overflow limit cycles in minimum norm recursive digital filters
Laurence E. Turner, Len T. Bruton · IEEE Transactions on Circuits and Systems · 1980
A method of guaranteeing asymptotic stability in a recursive digital filter (using fixed point arithmetic) is presented. Using this method a particular implementation of the second-order "coupled form" recursive digital filter is demonstrated to be completely free from limit cycle oscillations under zero input conditions.