Frequency Locator Polynomial Based Fast Algorithm for Sparse Aliased Spectrum Recovery
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摘要: 论文提出一种基于频率位置多项式的稀疏混叠频谱快速恢复算法。该算法使用不同延时的多通道欠采样得到的信号混叠频谱，通过建立频率位置多项式，快速定位非零频点，并有效地将非线性的频谱恢复问题转换成一系列线性方程组的求解问题。该算法的计算速度相对国外同类算法(BigBand)有显著提高，并且实验结果表明该算法具有更低的频谱恢复错误率。Abstract: A fast algorithm based on Frequency Locator Polynomial (FLP) for sparse spectrum recovery is proposed. Using the shifted subsampled signals, the FLPs are constructed, thus to locate rapidly the nonzero frequencies. In particular, the nonlinear problem of sparse spectrum recovery is converted into solving a series of linear equations. Experimental results show that the proposed algorithm exhibits higher processing speed and lower error spectrum reconstruction rate than its predecessor BigBand.
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