A contribution ot the asymptotic theory of mismatched quantizers
Abstract
It is of practical and theoretical interest to be able to predict the performance of a quantizer when it is not matched to the incoming data. The mismatch quantizer problem has been considered by Bennett (1948), who gives an expression (called Bennett's integral) for the asymptotic mean square error of suboptimal quantizers implemented by a method called companding. The present investigation is concerned with the derivation of a necessary and sufficient condition for Bennett's integral to hold in k-dimensional space with rth power distortion measures. Attention is given to a simple example in which Bennett's integral does not give the correct asymptotic distortion of a mismatched quantizer.
- Publication:
-
ICC 1981; International Conference on Communications, Volume 2
- Pub Date:
- 1981
- Bibcode:
- 1981icc.....2R..30B
- Keywords:
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- Asymptotic Methods;
- Companding;
- Data Transmission;
- Mismatch (Electrical);
- Signal Distortion;
- Signal Measurement;
- Communication Theory;
- Measure And Integration;
- Performance Prediction;
- Root-Mean-Square Errors;
- Transmission Efficiency;
- Communications and Radar