Maximum amplitude zeroinput limit cycles in digital filters
Abstract
With zero input, the output of a recursive digital filter may be nonzero due to arithmetic rounding or truncation. Nonzero outputs are periodic, and the involved cycles are called zeroinput limit cycles. For direct form secondorder filters with fixedpoint arithmetic, many limitcycle properties have been discovered and upper bounds on limitcycle amplitudes have been derived. Unfortunately, no algorithm has been suggested for finding exact maximum amplitude limit cycles. In cases where limitcycle bounds indicate the possibility of large limit cycles, such an algorithm would help filter designers determine whether to use a lowerror filter structure or a special arithmetic. The present investigation is concerned with the development of a practical algorithm for finding maximum amplitude limit cycles.
 Publication:

IEEE Transactions on Circuits Systems
 Pub Date:
 March 1984
 Bibcode:
 1984ITCS...31..266M
 Keywords:

 Computerized Simulation;
 Digital Filters;
 Extremum Values;
 Fixed Point Arithmetic;
 Network Analysis;
 Recursive Functions;
 Algorithms;
 Amplitude Distribution Analysis;
 Computer Programs;
 High Pass Filters;
 Low Pass Filters;
 Electronics and Electrical Engineering