Optimal quantization for the one–dimensional uniform distribution with Rényi-$\alpha $-entropy constraints
Wolfgang Kreitmeier · Czech digital mathematics library · 2010
summary:We establish the optimal quantization problem for probabilities under constrained Rényi-$\alpha$-entropy of the quantizers. We determine the optimal quantizers and the optimal quantization error of one-dimensional uniform distributions including the known special cases $\alpha = 0$ (restricted codebook size) and $\alpha = 1$ (restricted Shannon entropy).