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    • 8. 发明授权
    • Method for collecting signal with sampling frequency lower than Nyquist frequency
    • 采样频率低于奈奎斯特频率的信号采集方法
    • US09455741B2
    • 2016-09-27
    • US14805868
    • 2015-07-22
    • Institute of Microelectronics, Chinese Academy of Sciences
    • Dongmei LiXiaojing LiShengfa LiangHao ZhangQing LuoChangqing XieMing Liu
    • H03M7/30H04L27/26
    • H03M7/3062H03M7/30H04L27/2642
    • A method for collecting a signal with a frequency lower than a Nyquist frequency includes, by a data transmitting end, selecting a suitable transformation base matrix for an input signal, deriving a sparse representation of the signal using the transformation base matrix to determine a sparsity of the signal, calculating a number M of compressive sampling operations according to the sparsity, sampling the signal with fNYQ/M using M channels, and integrating sampling values of each channel to obtain M measurement values. A reconstruction end reconstructs an original signal by solving optimization problems. Based on theory, compressive sampling can be performed on a sparse signal or a signal represented in a sparse manner with a frequency much lower than the Nyquist frequency, overcoming restrictions of the typical Nyquist sampling theorem. The method can be implemented simply and decrease pressure on data collection, storage, transmission and processing.
    • 收集频率低于奈奎斯特频率的信号的方法包括:通过数据发送端,为输入信号选择合适的变换基矩阵,使用变换基矩阵导出信号的稀疏表示,以确定稀疏度 信号,根据稀疏度计算M个压缩采样操作,使用M个通道对fNYQ / M采样信号,并对每个通道的采样值进行积分以获得M个测量值。 重建结束通过解决优化问题重建原始信号。 基于理论,可以对稀疏信号或以稀疏方式表示的信号执行压缩采样,频率远低于奈奎斯特频率,克服典型奈奎斯特采样定理的限制。 该方法可以简单实现,减少数据收集,存储,传输和处理的压力。