Convenient formulas for quantization efficiency
Article first published online: 19 JUN 2007
Copyright 2007 by the American Geophysical Union.
Volume 42, Issue 3, June 2007
How to Cite
2007), Convenient formulas for quantization efficiency, Radio Sci., 42, RS3022, doi:10.1029/2006RS003585., , and (
- Issue published online: 19 JUN 2007
- Article first published online: 19 JUN 2007
- Manuscript Accepted: 5 FEB 2007
- Manuscript Revised: 18 JAN 2007
- Manuscript Received: 6 NOV 2006
- quantization efficiency;
- radio astronomy
 Digital quantization of signals prior to processing results in the insertion of a component of noise resulting from the finite number of quantization levels. In radio astronomy, for example, this is important because the number of levels tends to be limited by increasing sample rates, required by the use of increasingly wide bandwidths. We are here concerned with signals with Gaussian amplitude distribution that are processed by cross correlation. Quantization efficiency is the relative loss in signal-to-noise ratio resulting from the quantization process. We provide a method of calculating the quantization efficiency for any number of uniformly spaced levels, as a function of the level spacing, using formulas that are easily evaluated with commonly used mathematical programs. This enables a choice of level spacing to maximize sensitivity or to provide a compromise between the sensitivity and the voltage range of the input waveform.