Title :
Asymptotic White noise Hypothesis for PCM quantization
Author :
Borodachov, Sergiy ; Wang, Yang
Author_Institution :
Sch. of Math., Georgia Inst. of Technol., Atlanta, GA
Abstract :
For a signal distributed in Rd 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;
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
DOI :
10.1109/CISS.2008.4558618
