Title :
Calculation of Cycle Lengths in Higher Order Error Feedback Modulators With Constant Inputs
Author :
Fitzgibbon, Brian ; Kennedy, Michael Peter
Author_Institution :
Dept. of Microelectron. Eng., Univ. Coll. Cork, Cork, Ireland
Abstract :
Higher order error feedback modulators are analyzed mathematically to investigate their periodic behavior. We derive nonlinear equations governing the systems and evaluate the quantizer error equations to determine optimum initial conditions from which maximum cycle lengths can be achieved.
Keywords :
circuit feedback; delta-sigma modulation; error analysis; modulators; nonlinear equations; quantisation (signal); DDSM; constant input modulator; cycle length calculation; digital delta-sigma modulator; higher order error feedback modulator; maximum cycle length; nonlinear equations; quantizer error equations; Delta-sigma modulation; Mathematical model; Modulation; Multi-stage noise shaping; Noise; Quantization; Registers; Digital delta-sigma modulator (DDSM); error feedback modulator (EFM); maximum cycle length;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2010.2092824
