Mathematical Problems in Engineering
Volume 2 (1996), Issue 1, Pages 57-61

A note on the convergence of quantizers

Eric B. Hall

Department of Electrical Engineering, Southern Methodist University, P.O. Box 750338, Dallas 75275-0338, Texas, USA

Received 13 March 1995

Copyright © 1996 Eric B. Hall. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Several questions concerning the convergence of quantized estimators are considered based upon points of accuracy. Examples are considered in which quantizers converge and in which they fail to converge, and points of accuracy are shown to provide explanations for both types of behavior.