最小二乘法重构r重平移不变子空间采样的研究
doi: 10.3724/SP.J.1146.2008.01604
Studying on Reconstruction Sampling in Shift-Invariant Subspace with Multiplicity r from Least Squares Method
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摘要: 该文根据r重平移不变子空间采样模型，提出了一种基于最小二乘法的r重平移不变子空间采样重构方法，并且获得了重构滤波器的频域表达式；同时利用Hilbert空间投影理论分析了重构误差；最后，以调幅信号为例，验证了最小二乘法重构r重平移不变子空间采样的可行性。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 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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