论文标题
基于与结构化协方差的高斯混合模型的通道估计
Channel Estimation based on Gaussian Mixture Models with Structured Covariances
论文作者
论文摘要
在这项工作中,我们提出了基于高斯混合模型(GMM)的通道估计量的变化,该模型最近在最小均方误差(MMSE)的意义上被证明是渐近最佳的。我们说明在线估计中需要低计算复杂性,而在实际应用中培训和存储的成本低。为此,我们讨论了对拟合GMM参数所需的基本期望最大化(EM)算法的修改,以实现结构约束的协方差。此外,我们研究了借助GMM将宽带系统中的2D时间和频率估计问题分解为级联的1D估计。提出的级联GMM方法大大降低了复杂性和记忆要求。我们观察到,由于对逼真的渠道数据的培训,提出的GMM估计器似乎固有地在节省复杂性/参数和估计性能之间进行了权衡。我们将这些低复杂的方法与依赖功率延迟曲线(PDP)和多普勒频谱(DS)的实用和低成本方法进行了比较。我们认为,通过对环境的方案特定数据的培训,这些实用的基线的表现远优于同等的估计复杂性。
In this work, we propose variations of a Gaussian mixture model (GMM) based channel estimator that was recently proven to be asymptotically optimal in the minimum mean square error (MMSE) sense. We account for the need of low computational complexity in the online estimation and low cost for training and storage in practical applications. To this end, we discuss modifications of the underlying expectation-maximization (EM) algorithm, which is needed to fit the parameters of the GMM, to allow for structurally constrained covariances. Further, we investigate splitting the 2D time and frequency estimation problem in wideband systems into cascaded 1D estimations with the help of the GMM. The proposed cascaded GMM approach drastically reduces the complexity and memory requirements. We observe that due to the training on realistic channel data, the proposed GMM estimators seem to inherently perform a trade-off between saving complexity/parameters and estimation performance. We compare these low-complexity approaches to a practical and low cost method that relies on the power delay profile (PDP) and the Doppler spectrum (DS). We argue that, with the training on scenario-specific data from the environment, these practical baselines are outperformed by far with equal estimation complexity.