|
|
|
| Studying on Reconstruction Sampling in Shift-Invariant Subspace with Multiplicity r from Least Squares Method |
| Zhu Zhao-xuan; Wang Hou-jun; Wang Zhi-gang |
| College of Automation,University of Electronic Science and Technology of China, Chengdu 610054, China |
|
|
|
|
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.
|
|
Received: 02 December 2008
|
|
|
|
|
|
|
|
|
2009, Vol. 31 
