Title :
Limit cycles in digital filters
Author :
Brubaker, T.A. ; Gowdy, J.N.
Author_Institution :
Colorado State University, Fort Collins, CO, USA
fDate :
10/1/1972 12:00:00 AM
Abstract :
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.
Keywords :
Fixed-point digital filters; Limit cycles; Recursive digital filter wordlength effects; Computer errors; Digital arithmetic; Digital filters; Gold; Limit-cycles; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1100120
