Remarks on the zero-input behavior of second-order digital filters designed with one magnitude truncation quatizer
T. Claasen, W. Mecklenbräuker, Joshua Peek · IEEE Transactions on Acoustics Speech and Signal Processing · 1975
A detailed description is given of the areas in the parameter plane where limit-cycles are possible in a second-order digital filter with one magnitude-truncation quantizer. It is shown that in those points for which limit-cycles can exist the possibility of occurrence is small. A method is described for breaking down these remaining limit-cycles.