Limit cycles in digital filters
Thomas A. Brubaker, J.N. Gowdy · IEEE Transactions on Automatic Control · 1972
A study is made of the nonlinear phenomenon of limit cycles in digital filters implemented using fixed point arithmetic with product rounding. By investigating individually the different types of limit cycles, bounds are derived on the coefficients for second-order filters in the direct and canonic form that are more efficient than earner bounds. Then the results are extended to filters connected in cascade.