DocumentCode :
861633
Title :
Effects of quantization on feedback systems with stochastic inputs
Author :
Kramer, R.
Author_Institution :
MIT, Cambridge, MA, USA
Volume :
6
Issue :
3
fYear :
1961
fDate :
9/1/1961 12:00:00 AM
Firstpage :
292
Lastpage :
305
Abstract :
An approximate analysis of the effects of quantization in a feedback system is made. The system input is a Gaussian random signal. The error autocorrelation as a function of the quantizer box size is the goal of the analysis. The approximation lies in the assumption that certain error joint distributions are Gaussian. In the limit as the quantizer box size approaches zero, these distributions do become Gaussian. On the basis of the approximation, a nonlinear integral equation relating the error autocorrelation to the system parameters is developed. An iteration procedure for successive approximations to the solution is outlined, and several examples are presented. Finally, experimental results obtained on a digital computer are shown.
Keywords :
Autocorrelation; Computer errors; Contracts; Feedback control; Integral equations; Linear systems; Nonlinear systems; Quantization; Stability; Stochastic systems;
fLanguage :
English
Journal_Title :
Automatic Control, IRE Transactions on
Publisher :
ieee
ISSN :
0096-199X
Type :
jour
DOI :
10.1109/TAC.1961.1105211
Filename :
1105211
Link To Document :
بازگشت