Title :
On the steady state behaviour of an nth-order class of nonlinear mappings
Author :
Condon, Emer ; Curran, Paul F. ; Mistry, Ketan ; Feely, Orla
Author_Institution :
Dept. of Electron. Eng., Univ. Coll. Dublin, Ireland
fDate :
28 Aug.-2 Sept. 2005
Abstract :
This paper establishes that for a particular class of nonlinear mappings, there exists a globally attracting forward-invariant region. This class of mappings incorporates Sigma-Delta (ΣΔ) modulators of any order and any topology with integrator leakage.
Keywords :
sigma-delta modulation; globally attracting forward-invariant region; integrator leakage; nth-order class; nonlinear mapping; sigma-delta modulator; steady state behaviour; Delta-sigma modulation; Digital modulation; Digital-analog conversion; Educational institutions; Nonlinear dynamical systems; Phase locked loops; Stability; State-space methods; Steady-state; Topology;
Conference_Titel :
Circuit Theory and Design, 2005. Proceedings of the 2005 European Conference on
Print_ISBN :
0-7803-9066-0
DOI :
10.1109/ECCTD.2005.1522953
