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Improving the stability of DFT error recovery codes by using sparse oversampling patterns

机译:通过使用稀疏过采样模式提高DFT错误恢复代码的稳定性

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摘要

This paper proposes a new approach for improving the stability of discrete Fourier transform (DFT) codes for burst error recovery. The decoding algorithms for DFT codes become unstable in burst error situations because of the ill-conditioned matrices that arise in the recovery algorithms. This paper proposes a collection of oversampling patterns instead of consecutive zero oversampling and proves the ability to recover the original signal. Also the effects of these oversampling patterns on the stability of recovery algorithms are studied. This paper proves that these patterns greatly improve the stability of these algorithms in burst error situations. The effect of some special kinds of sparse error patterns on the proposed method is analyzed and a method is suggested to avoid this situation. The simulation results include different situations and error patterns and their effect on DFT codes. These experimental results also show the robustness of the proposed method against the quantization noise and burst of errors.
机译:本文提出了一种新的方法来提高离散傅里叶变换(DFT)码的稳定性,以恢复突发错误。由于恢复算法中出现了病态矩阵,因此DFT码的解码算法在突发错误情况下变得不稳定。本文提出了一种过采样模式的集合,而不是连续的零过采样,并证明了恢复原始信号的能力。还研究了这些过采样模式对恢复算法稳定性的影响。本文证明了这些模式在突发错误情况下极大地提高了这些算法的稳定性。分析了一些特殊的稀疏错误模式对所提出方法的影响,并提出了一种避免这种情况的方法。仿真结果包括不同的情况和错误模式及其对DFT代码的影响。这些实验结果还表明了该方法对量化噪声和误差突发的鲁棒性。

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