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Colored-Gaussian Multiple Descriptions: Spectral and Time-Domain Forms

机译:彩色高斯多重描述:频谱和时域形式

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It is well known that Shannon's rate-distortion function (RDF) in the colored quadratic Gaussian (QG) case can be parametrized via a single Lagrangian variable (the water level in the reverse water filling solution). In this paper, we show that the symmetric colored QG multiple description (MD) RDF in the case of two descriptions can be parametrized in the spectral domain via two Lagrangian variables, which control the tradeoff between the side distortion, the central distortion, and the coding rate. This spectral-domain analysis is complemented by a time-domain scheme-design approach: we show that the symmetric colored QG MD RDF can be achieved by combining ideas of delta-sigma modulation and differential pulse-code modulation. In particular, two source prediction loops, one for each description, are embedded within a common noise-shaping loop, whose parameters are explicitly found from the spectral-domain characterization.
机译:众所周知,可以通过单个拉格朗日变量(反向注水溶液中的水位)对有色二次高斯(QG)情况下的香农速率失真函数(RDF)进行参数化。在本文中,我们表明可以通过两个拉格朗日变量在光谱域中对两个描述情况下的对称彩色QG多描述(MD)RDF进行参数化,这两个变量控制了侧面失真,中央失真和噪声之间的权衡。编码率。这种频谱域分析由时域方案设计方法进行了补充:我们证明,可以通过结合delta-sigma调制和差分脉冲编码调制的思想来实现对称的有色QG MD RDF。特别是,两个源预测循环(每个描述一个)嵌入一个公共的噪声整形循环中,其参数可从频谱域特征中明确找到。

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