基于线性正则变换的非均匀采样信号重构方法

A Novel Signal Reconstruction Method Based on Linear Canonical Transform for the Nonuniform Sampling

提出了一种新的基于线性正则变换的非均匀采样信号的重构方法.根据周期非均匀采样信号模型的特点,提出了一种新的非均匀线性正则变换;研究所提出信号的离散非均匀线性正则变换谱与其连续谱的关系,并根据此关系提出了一种线性正则变换域基于周期非均匀采样信号点重构算法;为验证推导结果,采用一维周期非均匀采样信号进行仿真,仿真结果表明,重建信号与原始信号基本一致.

A new kind of signal reconstruction method was proposed based on linear canonical transform（LCT）for the nonuniform sampling signal.Firstly,a new discrete LCT was defined according as the properties of periodic nonuniform sampling model.And then,the relationship between the discrete and the continuous LCT spectrum of the signal was derived,and a LCT field with this relationship was proposed based on the signal reconstruction arithmetic for the periodic nonuniform sampling.Finally,a simulation experiment was carried out with one-dimensional periodic nonuniform sampling signal to verify the correctness of the derived results.The simulation results show that the reconstructed signal is basically the same as the original signal.