arXivDaily arXiv每日学术速递 周一至周五更新
arXiv cs/0601028cs.ITmath.IT
收藏

高斯信源在高斯信道上的编码与非编码叠加传输

Superimposed Coded and Uncoded Transmissions of a Gaussian Source over the Gaussian Channel

Shraga Bross, Amos Lapidoth, Stephan Tinguely

摘要:

我们建议发送一个高斯源在平均功率有限的加性高斯白噪声信道通过发送的源序列和它的量化结果使用高维高斯矢量量化器的线性组合。我们表明,无论矢量量化器的速率(假设是固定的,小于信道的容量),这种传输方案是渐近最佳的(量化器的尺寸趋于无穷大)下的均方误差保真度标准。这概括了Goblick关于缩放未编码传输的最优性的经典结果,其对应于选择矢量量化器的速率为零,以及经典的源-信道分离方法,其对应于选择任意接近信道容量的矢量量化器的速率。

英文摘要:

We propose to send a Gaussian source over an average-power limited additive white Gaussian noise channel by transmitting a linear combination of the source sequence and the result of its quantization using a high dimensional Gaussian vector quantizer. We show that, irrespective of the rate of the vector quantizer (assumed to be fixed and smaller than the channel's capacity), this transmission scheme is asymptotically optimal (as the quantizer's dimension tends to infinity) under the mean squared-error fidelity criterion. This generalizes the classical result of Goblick about the optimality of scaled uncoded transmission, which corresponds to choosing the rate of the vector quantizer as zero, and the classical source-channel separation approach, which corresponds to choosing the rate of the vector quantizer arbitrarily close to the capacity of the channel.

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。

↑