Accurate reconstruction of frequency-sparse signals with arbitrary frequencies from non-uniform samples
    41.
    发明授权
    Accurate reconstruction of frequency-sparse signals with arbitrary frequencies from non-uniform samples 有权
    从非均匀样本中任意频率的频率稀疏信号的精确重建

    公开(公告)号:US09064136B1

    公开(公告)日:2015-06-23

    申请号:US13749610

    申请日:2013-01-24

    CPC classification number: G06G7/161 G06G7/122 H03M1/04 H03M1/128 H03M7/3062

    Abstract: Described is a method for accurately reconstructing analog signals. The present invention considers a general parameter estimation problem, extends the utility of compressive sensing to real scenarios, and is able to accurately estimate center frequencies and amplitudes. Specifically, an unknown continuous analog signal comprising a set of arbitrary frequencies and amplitudes is received. A set of non-uniform samples of the unknown continuous analog signal is then obtained at multiple times. Finally, an iterative reconstruction process is utilized to determine a set of frequencies and a set of amplitudes that best fit the set of non-uniform samples in a global minimum problem in order to accurately reconstruct the continuous analog signal.

    Abstract translation: 描述了一种用于精确重建模拟信号的方法。 本发明考虑了一般的参数估计问题,将压缩感知的效用扩展到实际场景,并且能够准确估计中心频率和振幅。 具体地,接收包括一组任意频率和幅度的未知连续模拟信号。 然后可以多次获得未知连续模拟信号的一组不均匀采样。 最后,迭代重建过程用于确定一组频率和一组最佳拟合全局最小问题中的非均匀样本的幅度,以便精确地重构连续的模拟信号。

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