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Information rates for a discrete-time Gaussian channel with intersymbol interference and stationary inputs

机译:具有符号间干扰和固定输入的离散时间高斯信道的信息速率

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摘要

Bounds are presented on I/sub i.i.d./-the achievable information rate for a discrete Gaussian Channel with intersymbol interference (ISI) present and i.i.d. channel input symbols governed by an arbitrary predetermined distribution p/sub x/(x). The lower and upper bounds on I/sub i.i.d./ and I are formulated. The bounds on I/sub i.i.d./ are calculated for independent equiprobably binary channel symbols and for causal channels with ISI memory of degree one and two. The bounds on I/sub i.i.d./ are compared to the approximated (by Monte Carlo methods) known value of I/sub i.i.d./ and their tightness is considered. An application of the new lower bound on I/sub i.i.d./ yields an improvement on previously reported lower bounds for the capacity of the continuous-time strictly bandlimited (or bandpass) Gaussian channel with either peak or simultaneously peak power and bandlimiting constraints imposed on the channel's input waveform.
机译:在I / sub.i.d. /上显示界限-对于存在i.i.d的存在符号间干扰(ISI)的离散高斯信道可实现的信息速率。通道输入符号由任意的预定分布p / sub x /(x)控制。确定了I / sub i.i.d./和I的上下限。计算I / sub i.d./的界限是针对独立的等概率二进制信道符号以及具有ISI一级和二级记忆的因果信道。将I / sub i.i.d./的边界与I / sub i.i.d./的近似已知值(通过蒙特卡洛方法)进行比较,并考虑其紧密度。在I / subiid /上应用新的下限可对先前报告的下限进行改进,该下限适用于连续时间严格带限(或带通)高斯信道的容量,该信道具有峰值或同时峰值功率,并且对信道施加了带宽限制通道的输入波形。

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