The Quantization of the Cantor Distribution
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For a real-valued random variable whose distribution is the classical Cantor probability, the n - quantization error and the n - optimal quantization rules are calculated for every natural number n. Moreover, the connection between the rate of convergence of the logarithms of the quantization errors for n going to infinity and the Hausdorff dimension of the Cantor set is indicated.
[1] James A. Bucklew,et al. Multidimensional asymptotic quantization theory with r th power distortion measures , 1982, IEEE Trans. Inf. Theory.
[2] H. Abut,et al. Vector Quantization , 1990 .
[3] Paul L. Zador,et al. Asymptotic quantization error of continuous signals and the quantization dimension , 1982, IEEE Trans. Inf. Theory.
[4] David Pollard,et al. Quantization and the method of k -means , 1982, IEEE Trans. Inf. Theory.