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Frame synchronisation based on compressed sensing with correlation rule

机译：基于关联规则的压缩感知的帧同步

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摘要

The research of frame synchronisation, which processing is based on the sampling at Nyquist rate in traditional method, has been become the hot topic over the past few decades. In the light of compressed sensing theory that sampling received signals below the Nyquist rate, a frame synchronisation method with correlation rule is proposed in this paper. Firstly, the synchronisation metrics of frame synchronisation is expressed as compressed mode by developing the sparsity of the synchronisation metric amplitudes over observation window. The measurement matrix for compressive sampling is then projected, and compressive sampling for the received signal is employed according to the projected measurement matrix. Finally, we reconstruct the synchronisation metrics from the compressive sampling by utilising compressive sampling matching pursuit (CoSaMP) algorithm and obtain the estimate of frame synchronisation with the reconstructed synchronisation metrics. Compared to the traditional methods, the analysis and simulation results show that the sampling rate in proposed method is significantly reduced while obtaining comparative correct synchronisation probability when received signal-to-noise ratio (SNR) is relatively high. Simultaneously, for the reason that the correct synchronisation probability is not particularly sensitive to the iteration number of the CoSaMP algorithm for frame synchronisation, low reconstruction complexity is also obtained in the proposed method.
机译：帧同步的研究以传统方法中的奈奎斯特速率采样为基础，已成为过去几十年的热门话题。根据压缩感知理论，对低于奈奎斯特速率的接收信号进行采样，提出一种具有相关规则的帧同步方法。首先，通过在观察窗口上发展同步度量幅度的稀疏性，将帧同步的同步度量表达为压缩模式。然后投影用于压缩采样的测量矩阵，并根据投影的测量矩阵对接收信号进行压缩采样。最后，我们利用压缩采样匹配追踪（CoSaMP）算法从压缩采样中重建同步度量，并使用重建的同步度量获得帧同步的估计。与传统方法相比，分析和仿真结果表明，当接收信噪比（SNR）较高时，该方法的采样率显着降低，同时获得了比较正确的同步概率。同时，由于正确的同步概率对帧同步的CoSaMP算法的迭代次数不特别敏感，因此该方法的重构复杂度也较低。

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