Asymptotic quantizing error for unbounded random variables (Corresp.)

Asymptotic quantizing error for unbounded random variables (Corresp.)

A sufficient condition is given for mean r th-power error in quantizing an unbounded random variable to vary inversely with the r th power of the number of quantizing levels. An example is given of a distribution for which this behavior is unattainable.

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Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on information theory 1970-01, Vol.16 (1), p.81-83
1. Verfasser: Pierce, J.
Format: Artikel
Sprache:eng
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Beschreibung
Zusammenfassung:A sufficient condition is given for mean r th-power error in quantizing an unbounded random variable to vary inversely with the r th power of the number of quantizing levels. An example is given of a distribution for which this behavior is unattainable.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.1970.1054400