中文摘要：

随机等效采样技术通过对周期信号进行多次随机时间间隔取样,以时间间隔为序排列采样数据,形成具有较高等效采样率的波形。然而,由于时间间隔的非均匀性,很难采集到足够的有效信号重构原始波形。为了克服这种信息不足引起的重构误差,提出了一种基于压缩传感理论的随机等效采样信号重构方法,构造了随机等效采样测量矩阵。该方法能够对周期信号以低于信号奈奎斯特频率的采样率进行随机采样,通过最优化问题从有限的采样值中重构原始信号。最后通过实验对该方法的可行性进行了验证。

英文摘要：

In random equivalent sampling,a periodic signal is sampled in multiple random intervals,the sampled data are arranged according to the sequence of time intervals,and then the signal waveform is reconstructed with high equivalent sampling frequency.In practical application,due to non-uniform distribution of the time intervals,it is difficult to collect enough valid samples to reconstruct the signal.In order to avoid reconstruction distortion,in this paper,a novel random equivalent sampling signal reconstruction method based on compressed sensing is proposed,and the measurement matrix specifically for random equivalent sampling is constructed.The proposed method can acquire and reconstruct a periodic signal at sub-Nyquist rate.To evaluate the performance of the proposed method,experimental waveforms are reported.