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首页> 外文期刊>IEEE Transactions on Information Theory >Multiple Description Quantization Via Gram–Schmidt Orthogonalization
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Multiple Description Quantization Via Gram–Schmidt Orthogonalization

机译：通过Gram–Schmidt正交化进行多描述量化

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摘要

The multiple description (MD) problem has received considerable attention as a model of information transmission over unreliable channels. A general framework for designing efficient MD quantization schemes is proposed in this paper. We provide a systematic treatment of the El Gamal-Cover (EGC) achievable MD rate-distortion region, and show it can be decomposed into a simplified-EGC (SEGC) region and a superimposed refinement operation. Furthermore, any point in the SEGC region can be achieved via a successive quantization scheme along with quantization splitting. For the quadratic Gaussian case, the proposed scheme has an intrinsic connection with the Gram-Schmidt orthogonalization, which implies that the whole Gaussian MD rate-distortion region is achievable with a sequential dithered lattice-based quantization scheme as the dimension of the (optimal) lattice quantizers becomes large. Moreover, this scheme is shown to be universal for all independent and identically distributed (i.i.d.) smooth sources with performance no worse than that for an i.i.d. Gaussian source with the same variance and asymptotically optimal at high resolution. A class of MD scalar quantizers in the proposed general framework is also constructed and is illustrated geometrically; the performance is analyzed in the high-resolution regime, which exhibits a noticeable improvement over the existing MD scalar quantization schemes
机译：作为在不可靠通道上的信息传输的模型，多描述（MD）问题已受到相当多的关注。本文提出了设计有效的MD量化方案的通用框架。我们提供了El Gamal-Cover（EGC）可获得的MD率失真区域的系统处理，并显示了它可以分解为简化的EGC（SEGC）区域和叠加的精炼操作。此外，SEGC区域中的任何点都可以通过连续的量化方案以及量化分裂来实现。对于二次高斯情况，所提出的方案与Gram-Schmidt正交化具有内在联系，这意味着整个高斯MD率失真区域可以通过基于连续抖动基于格的量化方案作为（最优）维来实现。晶格量化器变大。此外，该方案对于所有独立且相同分布（i.i.d.）的平滑源都是通用的，其性能不比i.i.d的性能差。高斯源具有相同的方差并且在高分辨率下渐近最优。在提出的通用框架中，还构造了一类MD标量量化器，并对其进行了几何说明。在高分辨率方案中对性能进行了分析，与现有的MD标量量化方案相比，它具有明显的改进

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