On the Support Region of a Minimum Mean-Square Error Scalar Quantizer for a Weibull Source 


Vol. 29,  No. 1, pp. 129-139, Jan.  2004


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  Abstract

This paper studies the support region of an optimum (minimum mean-squre error) fixed-rate scalar quantizer for a Weibull source. The support region is defined to be the interval determined by the outermost thresholds of a quantizer and plays an important role in its performance, and hence it motivates this study. The paper reports the following specific results. First, approximation formulas are derived for the outermost thresholds of optimum scalar quantizers for a Weibull distributions. Second, in the case of Rayleigh and exponential distributions the derived approximation formulas are compared for the evaluation of their accuracy with the true values of optimum quantizers. Numerical results show that the formula for the leftmost threshold stays within 1% of the true value for 128 and 256 quantization points or more, for Rayleigh and exponential distribution, respectively, while that for the rightmost threshold does so for 512 and 32 quantization points or more. These formulas exhibit increased accuracy with the number of quantization points. In conclusion, the formulas have high accuracy. The contribution of the paper consists in the derivation of closed accurate formulas for the support of optimum.

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  Cite this article

[IEEE Style]

S. Lim and S. Na, "On the Support Region of a Minimum Mean-Square Error Scalar Quantizer for a Weibull Source," The Journal of Korean Institute of Communications and Information Sciences, vol. 29, no. 1, pp. 129-139, 2004. DOI: .

[ACM Style]

Sil-kyu Lim and Sang-sin Na. 2004. On the Support Region of a Minimum Mean-Square Error Scalar Quantizer for a Weibull Source. The Journal of Korean Institute of Communications and Information Sciences, 29, 1, (2004), 129-139. DOI: .

[KICS Style]

Sil-kyu Lim and Sang-sin Na, "On the Support Region of a Minimum Mean-Square Error Scalar Quantizer for a Weibull Source," The Journal of Korean Institute of Communications and Information Sciences, vol. 29, no. 1, pp. 129-139, 1. 2004.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880