论文标题
AWGN渠道的有限支持能力征收分布
Finite-Support Capacity-Approaching Distributions for AWGN Channels
论文作者
论文摘要
在本文中,动态组装Blahut-Arimoto(DAB)算法识别具有小基数的有限支持概率质量函数(PMFS),可实现振幅约束(AC)添加性的白色高斯噪声(AWGN)通道的能力,或者在较小的1%内(PC)AWNNELS的能力较小。虽然连续的高斯PDF众所周知是PC-WABGN通道的理论能力调整分布,但DAB识别出具有小心电图的PMF,对于实际目的而言,其性能是无法区分的。我们将需要$ 2^{C+1} $的星座基数的Ozarow和Wyner的结果扩展到将容量C接近损失之内。 PMF由DAB进近容量找到,基本上没有塑形损失,星座的基数为$ 2^{C+1.2} $。对于AC-AWGN通道,DAB表征了最小掌握有限支持能力促成的PMF的演变。
In this paper, the Dynamic-Assignment Blahut-Arimoto (DAB) algorithm identifies finite-support probability mass functions (PMFs) with small cardinality that achieve capacity for amplitude-constrained (AC) Additive White Gaussian Noise (AWGN) Channels, or approach capacity to within less than 1% for power-constrained (PC) AWGN Channels. While a continuous Gaussian PDF is well-known to be a theoretical capacity-achieving distribution for the PC-AWGN channel, DAB identifies PMFs with small-cardinality that are, for practical purposes, indistinguishable in performance. We extend the results of Ozarow and Wyner that require a constellation cardinality of $2^{C+1}$ to approach capacity C to within the shaping loss. PMF's found by DAB approach capacity with essentially no shaping loss with constellation cardinality of $2^{C+1.2}$. For AC-AWGN channels, DAB characterizes the evolution of minimum-cardinality finite-support capacity-achieving PMFs.