Sheppard's correction for variances and the "quantization noise model"

IEEE Transactions on Instrumentation and Measurement

Volumn 54, Issue 5, 2005, Pages 2117-2119

  Vardeman, Stephen B ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Dithering; Histogram density; Independent; Rounding; Uncorrelated; Uniform distribution

Indexed keywords

CORRELATION METHODS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; STATISTICAL METHODS;

DITHERING; HISTOGRAM DENSITY; QUANTIZATION NOISE MODEL; UNIFORM DISTRIBUTION;

MATHEMATICAL MODELS;

EID: 27644467336     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIM.2005.853348     Document Type: Article

References (8)

1. W. Sheppard, "On the calculation of the most probable values of frequency constants for data arranged according to equidistant divisions of a scale," in Proc. London Mathematical Soc., vol. 29, 1898, pp. 353-380.
2. A. Stuart and J. K. Ord, Kendall's Advanced Theory of Statistics, Vol. 1, Distribution Theory, 6th ed. London, U.K.: Edward Arnold, 1994.
3. R. M. Gray and D. L. Neuhoff, "Quantization," IEEE Trans. Inf. Theory, vol. 44, no. 10, pp. 2325-2383, Oct. 1998.
4. B. Widrow, I. Kollár, and M.-C. Liu, "Statistical theory of quantization," IEEE Trans. Instrum. Meas., vol. 45, no. 2, pp. 353-361, Apr. 1996.
5. I. Kollár, "Bias of mean value and mean square value measurements based on quantized data," IEEE Trans. Instrum. Meas., vol. 43, no. 5, pp. 733-739, Oct. 1994.
6. R. M. Gray and T. G. Stockham Jr., "Dithered quantizers," IEEE Trans. Inf. Theory, vol. 39, no. 10, pp. 805-812, Oct. 1993.
7. A. B. Sripad and D. L. Snyder, "A necessary and sufficient condition for quantization errors to be uniform and white," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-25, no. 10, pp. 442-448, Oct. 1977.
8. J. A. Bucklew and N. C. Gallagher Jr., "Some properties of uniform step size quantizers," IEEE Trans. Inf. Theory, vol. IT-26, no. 9, pp. 610-613, Sep. 1980.