REMOVING THE NOISE FROM THE QUANTIZATION PROCESS BY DITHERING: LINEARIZATION

Abstract

The linearization of the highly important multistep quantizer nonlinearity by the application of independent quantizer activators called dithers is treated. For the dithered quantizer acting (as it often does) in conjunction with a low-pass or band-pass filter, numerical answers are given for the first time to the following questions: (1) What is the equivalent quantizer gain (2) What upper bounds does the dither place upon the maximum deviation from linearity (3) How does one determine, for given specifications, a dither amplitude so that the system is optimally dithered Such information, with regard to two time-periodic dithers (the sinusoid and sawtooth) makes it possible to effect analog-to-digital-to-analog conversion (to name one application) with no apparent loss of information even when the quantization is rough. The properties of the sinusoidal and sawtooth waves as quantizer linearizers are developed in detail; it is shown that the sawtooth is superior to the more popular sinusoid in most important respects.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1963
Accession Number
AD0296598

Entities

People

  • G.g. Furman

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Amplitude
  • Computer Programming
  • Computer Simulations
  • Computers
  • Digital Computers
  • Dynamic Range
  • Frequency
  • Gain
  • Government Procurement
  • Intervals
  • Linearity
  • New York
  • Saturation
  • Signal Generators
  • Transfer Functions
  • United States

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Image Processing and Computer Vision.