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A Study on Asymptotic Characteristics of Scalar Quantizers
- Alternative Title
- Jagan Rhee
- Author(s)
- Rhee, Jagan
- Alternative Author(s)
- Jagan Rhee
- Advisor
- Sangsin Na
- Department
- 일반대학원 전자공학과
- Publisher
- The Graduate School, Ajou University
- Publication Year
- 2012-08
- Language
- eng
- Alternative Abstract
- Asymptotic characteristics of scalar quantizers are investigated in this study. The covered quantizers are symmetric uniform and symmetric nonuniform quantizers optimized for the sources with specific probability densities with zero-mean and unit-variance including the two-sided Rayleigh, the normal, the Laplace, the gamma, the Bucklew-Gallagher, and the Hui-Neuhoff distributions. Although the resulting nonuniform quantizers optimized for the latter three distributions are not symmetric with even numbers of quantization points, only nonnegative half part was considered in the study since the effect of asymmetry vanishes as the number of quantization points increases. The covered asymptotic characteristics of an optimal quantizer are the innermost threshold, the outermost threshold, the inner distortion, the outer distortion, and the total distortion. To verify the results from the asymptotic analyses, optimal quantizers for the considered distributions have been designed for bit rates up to 20 (hence 2^20=1,048,576 quantization points) for uniform quantizers and 16 (hence 2^16=65,536 quantization points) for nonuniform quantizers. It is concluded that the asymptotic formulas for the characteristics of optimal/mismatched and uniform/nonuniform quantizers are generally consistent with the observed numerical results from the designed quantizers. Also, the high resolution numerical data obtained from the designed quantizers can be useful as references for possible future theoretical analyses of symmetric scalar quantizers.
- Fulltext
- Appears in Collections:
- Graduate School of Ajou University > Department of Electronic Engineering > 3. Theses(Master)
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