Dithered quantizers

IEEE Transactions on Information TheoryPublished 1 May 1993

Robert M. Gray, Thomas G. Stockham

DOI10.1109/18.256489

Source URL

Citations402

SJR quartileQ1

SJR score1.46

SNIP1.76

TL;DR

The goal is to provide a unified derivation and presentation of the two forms of dithered quantizer noise based on elementary Fourier techniques.

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A theory of overall quantization noise for nonsubtractive dither was originally developed in unpublished work by J.N. Wright and by T.J. Stockham and subsequently expanded by L.K. Brinton, S.P. Lipshitz, J. Vanderkooy, and R.A. Wannamaker.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

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