Dithered quantizers

Author

Gray, Robert M. ; Stockham, Thomas G.

Author_Institution

Dept. of Electr. Eng., Stanford Univ., CA, USA

Volume

39

Issue

3

fYear

1993

fDate

5/1/1993 12:00:00 AM

Firstpage

805

Lastpage

812

Abstract

A theory of overall quantization noise for nonsubtractive dither was originally developed in unpublished work by J.N. Wright and by T.J. Stockham and subsequently expanded by L.K. Brinton, S.P. Lipshitz, J. Vanderkooy, and R.A. Wannamaker. It is suggested that since these latter results are not as well known as the original results, misunderstanding persists in the literature. New proofs of the properties of quantizer dither, both subtractive and nonsubtractive, are provided. The new proofs are based on elementary Fourier series and Rice´s characteristic function method and do not require the use of generalized functions (impulse trains of Dirac delta functions) and sampling theorem arguments. The goal is to provide a unified derivation and presentation of the two forms of dithered quantizer noise based on elementary Fourier techniques

Keywords

analogue-digital conversion; information theory; signal processing; Rice´s characteristic function method; elementary Fourier series; nonsubtractive dither; quantization noise; quantizer dither; subtractive dither; Distortion; Fourier series; Image reconstruction; Information systems; Information theory; Quantization; Random processes; Random variables; Sampling methods; White noise;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.256489

Filename

256489