Title :
An improved analysis of ΣΔ modulators with bandlimited Gaussian inputs
Author :
Stonick, J.T. ; Ardalan, S.H. ; Townsend, J.K.
Author_Institution :
Dept. of Electr. & Comput. Eng., North Carolina State Univ., Raleigh, NC, USA
Abstract :
Three results on ΣΔ modulation are presented. First, a change of variables is presented that demonstrates that two of the parameters in a ΣΔ modulator do not affect the system performance. Second, a successive parameterization approach is used to determine the probability density function (PDF) at the input to the quantizer of a second-order ΣΔ modulator. Third, this calculated PDF is used to determine the minimum mean-square error linearizing gains for a second-order ΣΔ modulator and an expression for the variance of the noise at the input to the quantizer
Keywords :
modulators; parameter estimation; probability; random noise; PDF; bandlimited Gaussian inputs; minimum MSE linearizing gains; quantizer; second-order modulator; successive parameterization; Circuits; Delta modulation; Delta-sigma modulation; Difference equations; Gaussian noise; Histograms; Predictive models; Probability density function; Shape; Signal to noise ratio; Stability; System performance;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on
Conference_Location :
Albuquerque, NM
DOI :
10.1109/ICASSP.1990.115804
