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arXiv 1012.0018cs.ITmath.IT
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n通道非对称熵约束多描述格向量Quantization

n-Channel Asymmetric Entropy-Constrained Multiple-Description Lattice Vector Quantization

Jan Ostergaard, Richard Heusdens, Jesper Jensen

摘要:

本文设计和分析了一种基于索引分配(IA)的多描述编码方案。我们使用熵约束格型矢量量化和限制注意简单的重建函数,这是由逆IA函数时,所有的描述被接收或以其他方式由所接收的描述的加权平均。我们考虑具有有限微分熵率和MSE保真度准则的光滑源。在以前的设计中,我们的构造是基于嵌套格,通过一个单一的IA功能相结合。结果在高分辨率条件下是精确的,并且当嵌套比趋于无穷大时是渐近的。对于任何n,设计是渐近最优的类IA为基础的计划。此外,在两个描述和有限格向量维数大于一的情况下,性能严格优于现有的设计。在三种描述的情况下,我们表明,在大的格向量维数的限制,点上的内界的Pradhan等人。此外,对于三个描述和有限的晶格矢量尺寸,我们表明,IA为基础的方法产生,在对称的情况下,一个较小的速率损失比最近提出的源分裂方法。

英文摘要:

This paper is about the design and analysis of an index-assignment (IA) based multiple-description coding scheme for the n-channel asymmetric case. We use entropy constrained lattice vector quantization and restrict attention to simple reconstruction functions, which are given by the inverse IA function when all descriptions are received or otherwise by a weighted average of the received descriptions. We consider smooth sources with finite differential entropy rate and MSE fidelity criterion. As in previous designs, our construction is based on nested lattices which are combined through a single IA function. The results are exact under high-resolution conditions and asymptotically as the nesting ratios of the lattices approach infinity. For any n, the design is asymptotically optimal within the class of IA-based schemes. Moreover, in the case of two descriptions and finite lattice vector dimensions greater than one, the performance is strictly better than that of existing designs. In the case of three descriptions, we show that in the limit of large lattice vector dimensions, points on the inner bound of Pradhan et al. can be achieved. Furthermore, for three descriptions and finite lattice vector dimensions, we show that the IA-based approach yields, in the symmetric case, a smaller rate loss than the recently proposed source-splitting approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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