Asymptotic White noise Hypothesis for PCM quantization

Author

Borodachov, Sergiy ; Wang, Yang

Author_Institution

Sch. of Math., Georgia Inst. of Technol., Atlanta, GA

fYear

2008

fDate

19-21 March 2008

Firstpage

733

Lastpage

736

Abstract

For a signal distributed in R^d with an arbitrary density we find the limit distribution as the cell size goes to zero of the quantization noise in the case of a redundant system and the pulse-code modulation scheme. The dimension the support of the limiting distribution equals the largest number of non-comeasurable vectors in the frame and the limit distribution is uniform over its support. This gives the necessary and sufficient conditions for the asymptotic form of the white noise hypothesis.

Keywords

pulse code modulation; vector quantisation; white noise; PCM quantization; arbitrary density; asymptotic white noise hypothesis; cell size; limit distribution; necessary condition; noncomeasurable vectors; pulse-code modulation scheme; quantization noise; redundant system; sufficient condition; Analog-digital conversion; Dictionaries; Limiting; Phase change materials; Pulse modulation; Quantization; Signal to noise ratio; Sufficient conditions; White noise; Zinc; White noise hypothesis; frame; independence over the rationals; pulse code modulation scheme; vector quantization;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Sciences and Systems, 2008. CISS 2008. 42nd Annual Conference on

Conference_Location

Princeton, NJ

Print_ISBN

978-1-4244-2246-3

Electronic_ISBN

978-1-4244-2247-0

Type

conf

DOI

10.1109/CISS.2008.4558618

Filename

4558618