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arXiv 1606.00682cs.ITmath.IT
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基于离散导频的OFDM系统相位噪声约束估计

Constrained Phase Noise Estimation in OFDM Using Scattered Pilots Without Decision Feedback

Pramod Mathecken, Taneli Riihonen, Stefan Werner, Risto Wichman

摘要:

在本文中,我们考虑的OFDM无线电链路的振荡器相位噪声在接收端损坏,即估计和补偿的问题。为了减少计算负担和接收机上产生的延迟,我们仅使用分散的导频子载波来估计相位噪声,即,在获得和改进相位噪声估计时不使用试探性符号判决。特别地,相位噪声估计问题被构造为无约束优化问题,其最小值受到所谓的幅度和相位估计误差的影响。这些误差是由于接收机噪声、来自有限的分散导频子载波的估计以及使用降维模型的估计而产生的。经验表明,在高信噪比下,相位估计误差很小。为了减少幅度估计误差,我们限制最小值时,从所谓的相位噪声的几何设置最小化的成本函数。由此产生的优化问题是一个非凸规划。然而,使用二次等式的S-过程,我们证明了最优解可以通过求解凸对偶问题来获得。我们还考虑了一个不太复杂的启发式方案,实现了相同的目标,限制最小的相位噪声几何集。通过仿真,我们证明了改进的编码误码率和相位噪声估计误差性能时,强制相位噪声几何。例如,在高信噪比下,相位噪声估计误差的概率密度函数表现出较薄的尾部,这导致较低的误比特率。

英文摘要:

In this paper, we consider an OFDM radio link corrupted by oscillator phase noise in the receiver, namely the problem of estimating and compensating for the impairment. To lessen the computational burden and delay incurred onto the receiver, we estimate phase noise using only scattered pilot subcarriers, i.e., no tentative symbol decisions are used in obtaining and improving the phase noise estimate. In particular, the phase noise estimation problem is posed as an unconstrained optimization problem whose minimizer suffers from the so-called amplitude and phase estimation error. These errors arise due to receiver noise, estimation from limited scattered pilot subcarriers and estimation using a dimensionality reduction model. It is empirically shown that, at high signal-to-noise-ratios, the phase estimation error is small. To reduce the amplitude estimation error, we restrict the minimizer to be drawn from the so-called phase noise geometry set when minimizing the cost function. The resulting optimization problem is a non-convex program. However, using the S-procedure for quadratic equalities, we show that the optimal solution can be obtained by solving the convex dual problem. We also consider a less complex heuristic scheme that achieves the same objective of restricting the minimizer to the phase noise geometry set. Through simulations, we demonstrate improved coded bit-error-rate and phase noise estimation error performance when enforcing the phase noise geometry. For example, at high signal-to-noise-ratios, the probability density function of the phase noise estimation error exhibits thinner tails which results in lower bit-error-rate.

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