Title :
Limit cycles elimination in delta-operator systems
Author :
Ralev, Kamen R. ; Bauer, Peter H.
Author_Institution :
Notre Dame Univ., IN, USA
fDate :
5/1/2000 12:00:00 AM
Abstract :
The existence of nonzero equilibria in δ-operator fixed point and block floating point (BFP) systems is investigated and methods for avoiding such equilibria are proposed. In the fixed point case these methods work by mapping the region in which nonzero equilibria may appear to zero. This is possible if the region is small. It is also shown that nonzero equilibria and limit cycles of any period can always be avoided by using BFP arithmetic with a sufficiently large mantissa wordlength
Keywords :
fixed point arithmetic; floating point arithmetic; limit cycles; δ-operator systems; block floating point systems; delta-operator systems; fixed point systems; limit cycles elimination; mantissa wordlength; nonzero equilibria; Computed tomography; Dynamic range; Filters; Floating-point arithmetic; Laboratories; Limit-cycles; Linear systems; Quantization; Sampling methods; Signal analysis;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
