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Limit cycles in digital filters

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2 Author(s)
Brubaker, T. ; Colorado State University, Fort Collins, CO, USA ; Gowdy, J.

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:17 ,  Issue: 5 )