Abstract:According to the model of sampling in shift-invariant subspace with multiplicity r, this paper proposes a reconstruction method of sampling in shift-invariant subspace with multiplicity r based on least squares method, moreover, obtains the reconstruction filter’s frequency expression . And the reconstruction error is analyzed from the projection theory of Hilbert space. Finally, with amplitude modulation signal as example, the reconstruction method of sampling in shift-invariant subspace with multiplicity r based on least squares method is proved by simulation, the results show that the reconstruction algorithm is effective.
朱肇轩;王厚军; 王志刚 . 最小二乘法重构r重平移不变子空间采样的研究[J]. 电子与信息学报, 2009, 31(11): 2649-2652 .
Zhu Zhao-xuan; Wang Hou-jun; Wang Zhi-gang. Studying on Reconstruction Sampling in Shift-Invariant Subspace with Multiplicity r from Least Squares Method. , 2009, 31(11): 2649-2652 .