On optimum quantization
On optimum quantization
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关于最佳量化
DOI：
10.1109/tit.1969.1054285
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发表时间：
1969
期刊：
影响因子：
--
通讯作者：
R. Wood
中科院分区：
文献类型：
--
作者：
R. Wood
最小化均方量化误差的问题被认为是简单的封闭形式的近似的基础上的最大和罗伊的工作推导出的量化误差和熵的信号量化的最佳固定N量化器。然后，这些近似值被用来表明，当N是适度的大，它是更好地使用等间隔量化比最佳的固定N量化器，如果信号是subsetiuently缓冲和发送在一个固定的比特率。最后，在缓冲存在的最佳量化的问题进行了研究，和高斯信号的数值结果表明，equllevel量化产生接近最佳的结果。
The problem of minimizing mean-square quantization error is considered and simple closed form approximations based on the work of Max and Roe are derived for the quantization error and entropy of signals quantized by the optimum fixed- N quantizer. These approximations are then used to show that, when N is moderately large, it is better to use equl-interval quantizing than the optimum fixed- N quantizer if the signal is to be subsetiuently buffered and transmitted at a fixed bit rate. Finally, the problem of optimum quantizing in the presence of buffering is examined, and the numerical results presented for Gaussian signals indicate that equllevel quantizing yields nearly optimum results.