LER信号重建理论及应用

LER signal reconstruction theory and its applications

香农采样定理要求对整段信号进行均匀采样,无法直接适用于非均匀采样。通过采用不同于香农采样的技术路线,基于傅里叶级数展开式提出了线性方程的信号重建(linear equation reconstruction,LER)方法,该方法不仅支持均匀采样,也支持非均匀采样。分析了LER方法下的信息传输速率与信道容量性能,并基于LER理论提出了全息信号重建(holographic signal reconstruction,HSR)、频分信道(frequency division channel utilization,FDCU)等应用方案。仿真结果验证了LER、HSR等方法在支持非均匀采样、增加信道容量方面的有效性。

Shannon sampling theorem requires uniform sampling of the whole signal,which is incapable of processing the non-uniform sampling.In this paper,the linear equation reconstruction(LER)method,which is not only applicable to uniform sampling but also non-uniform sampling,is proposed based on the Fourier series analysis expansion by taking a different technical route than Shannon's sampling.Furthermore,the information transmission rate and channel capacity performance of LER method are investigated,and based on the proposed LER theory,holographic sampling reconstruction(HSR)and frequency division channel(FDCU)are also proposed.The simulation result verifies the effectiveness of the proposed LER method and HSR scheme in supporting non-uniform sampling and increasing channel capacity.