Zhu Zhao-xuan, Wang Hou-jun, Wang Zhi-gang. Studying on Reconstruction Sampling in Shift-Invariant Subspace with Multiplicity r from Least Squares Method[J]. Journal of Electronics & Information Technology, 2009, 31(11): 2649-2652. doi: 10.3724/SP.J.1146.2008.01604
Citation:
Zhu Zhao-xuan, Wang Hou-jun, Wang Zhi-gang. Studying on Reconstruction Sampling in Shift-Invariant Subspace with Multiplicity r from Least Squares Method[J]. Journal of Electronics & Information Technology, 2009, 31(11): 2649-2652. doi: 10.3724/SP.J.1146.2008.01604
Zhu Zhao-xuan, Wang Hou-jun, Wang Zhi-gang. Studying on Reconstruction Sampling in Shift-Invariant Subspace with Multiplicity r from Least Squares Method[J]. Journal of Electronics & Information Technology, 2009, 31(11): 2649-2652. doi: 10.3724/SP.J.1146.2008.01604
Citation:
Zhu Zhao-xuan, Wang Hou-jun, Wang Zhi-gang. Studying on Reconstruction Sampling in Shift-Invariant Subspace with Multiplicity r from Least Squares Method[J]. Journal of Electronics & Information Technology, 2009, 31(11): 2649-2652. doi: 10.3724/SP.J.1146.2008.01604
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 filters 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.
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