Dithered quantizers
- 1 May 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 39 (3) , 805-812
- https://doi.org/10.1109/18.256489
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A theory of overall quantization noise for nonsubtractive dither was originally developed in unpublished work by J.N. Wright and by T.J. Stockham and subsequently expanded by L.K. Brinton, S.P. Lipshitz, J. Vanderkooy, and R.A. Wannamaker.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 techniquesKeywords
This publication has 8 references indexed in Scilit:
- Quantization noise spectraIEEE Transactions on Information Theory, 1990
- A necessary and sufficient condition for quantization errors to be uniform and whiteIEEE Transactions on Acoustics, Speech, and Signal Processing, 1977
- The Application of Dither to the Quantization of Speech SignalsBell System Technical Journal, 1972
- Dither Signals and Their Effect on Quantization NoiseIEEE Transactions on Communications, 1964
- Picture coding using pseudo-random noiseIEEE Transactions on Information Theory, 1962
- Spectra of Quantized SignalsBell System Technical Journal, 1948
- PCM distortion analysisElectrical Engineering, 1947
- Distortion in a Pulse Count Modulation SystemTransactions of the American Institute of Electrical Engineers, 1947