Low-Resolution Scalar Quantization for Gaussian Sources and Absolute Error
Low-Resolution Scalar Quantization for Gaussian Sources and Absolute Error
复制标题
高斯源和绝对误差的低分辨率标量量化
DOI：
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发表时间：
2007
影响因子：
2.5
通讯作者：
D. Neuhoff
中科院分区：
文献类型：
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作者：
D. Marco;D. Neuhoff
这种对应关系考虑了相对于绝对误差失真的无记忆高斯源的低分辨率标量量化。它表明标量量化的操作率失真函数的斜率在速率变为零的点Dmax处是无穷大的。因此，与平方误差失真的情况不同，或者与具有平方或绝对误差失真的拉普拉斯和指数源的情况不同，对于高斯源和绝对误差，低速率下的标量量化远离香农速率失真函数，即，与最佳有损编码技术的性能相差甚远
This correspondence considers low-resolution scalar quantization for a memoryless Gaussian source with respect to absolute error distortion. It shows that slope of the operational rate-distortion function of scalar quantization is infinite at the point Dmax where the rate becomes zero. Thus, unlike the situation for squared error distortion, or for Laplacian and exponential sources with squared or absolute error distortion, for a Gaussian source and absolute error, scalar quantization at low rates is far from the Shannon rate-distortion function, i.e., far from the performance of the best lossy coding technique