标题： 衰落信道训练的能量效率视角 显示英文标题

标题： An Energy Efficiency Perspective on Training for Fading Channels

摘要： 本文研究了基于块Rayleigh衰落信道的训练序列传输所需的比特能量。 导频信号被用来获得信道衰落系数的最小均方误差（MMSE）估计。 在最坏的情况下分析了能量效率，在这种情况下假设信道估计是完美的，并且将估计误差视为另一来源的加性高斯噪声。 结果表明，随着信噪比（snr）趋于零，比特能量需求无限制地增长，并且在低于某一非零snr值时达到最小比特能量，低于该值不应操作。 研究了块长度对最小比特能量和达到最小值的snr值的影响。 分析了闪存训练方案并显示其在低信噪比（snr）区域提高了能量效率。 当对导频信号施加峰值功率约束时，也进行了能量效率分析。 显示英文摘要

摘要： In this paper, the bit energy requirements of training-based transmission over block Rayleigh fading channels are studied. Pilot signals are employed to obtain the minimum mean-square-error (MMSE) estimate of the channel fading coefficients. Energy efficiency is analyzed in the worst case scenario where the channel estimate is assumed to be perfect and the error in the estimate is considered as another source of additive Gaussian noise. It is shown that bit energy requirement grows without bound as the snr goes to zero, and the minimum bit energy is achieved at a nonzero snr value below which one should not operate. The effect of the block length on both the minimum bit energy and the snr value at which the minimum is achieved is investigated. Flash training schemes are analyzed and shown to improve the energy efficiency in the low-snr regime. Energy efficiency analysis is also carried out when peak power constraints are imposed on pilot signals.