多通道DSL迫零线性预编码中有限字长对传输速率的影响
Finite Word Length Effects on Transmission Rate in Zero Forcing Linear Precoding for Multichannel DSL
摘要：
串音干扰是铜线传输的限制因素。串扰消除技术在DSL传输速率的下一次飞跃中显示出巨大的潜力。在硬件中实现串扰消除技术时的一个重要问题是有限世界长度对性能的影响。在本文中，我们提供了一个分析的线性迫零预编码器的性能，用于串扰补偿，在有限的字长错误的存在。我们量化分析预编码器字长和传输速率退化之间的权衡。更具体地说，我们证明了一个简单的公式的传输速率损失作为用于预编码，信噪比，和标准线路参数的位数的函数。我们证明，通过模拟真实线路，我们的估计的准确性。此外，我们的结果是稳定的信道估计误差的存在。最后，我们展示了如何使用这些估计作为DSL线性串扰预编码器的设计工具。例如，我们表明，对于标准的VDSL 2预编码系统，14位表示的预编码器条目的结果在容量损失低于1%的线路超过300米。
英文摘要：
Crosstalk interference is the limiting factor in transmission over copper lines. Crosstalk cancelation techniques show great potential for enabling the next leap in DSL transmission rates. An important issue when implementing crosstalk cancelation techniques in hardware is the effect of finite world length on performance. In this paper we provide an analysis of the performance of linear zero-forcing precoders, used for crosstalk compensation, in the presence of finite word length errors. We quantify analytically the trade off between precoder word length and transmission rate degradation. More specifically, we prove a simple formula for the transmission rate loss as a function of the number of bits used for precoding, the signal to noise ratio, and the standard line parameters. We demonstrate, through simulations on real lines, the accuracy of our estimates. Moreover, our results are stable in the presence of channel estimation errors. Finally, we show how to use these estimates as a design tool for DSL linear crosstalk precoders. For example, we show that for standard VDSL2 precoded systems, 14 bits representation of the precoder entries results in capacity loss below 1% for lines over 300m.
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