Title :
Weighted sampling and signal reconstruction in spline subspaces
Author :
Jun, Xian ; Luo, Shi-Ping ; Lin, Wei
Author_Institution :
Dept. of Math., Zhongshan Univ., Guangzhou, China
Abstract :
In this paper, we construct reproducing kernel in spline sub-spaces and use the reproducing kernel to obtain reconstructions formula. We also improve the A-P iterative algorithm, and use the algorithm to implement the reconstruction from weighted samples, and obtain the explicit convergence rate of the algorithm in spline subspaces.
Keywords :
convergence of numerical methods; iterative methods; signal reconstruction; signal sampling; splines (mathematics); iterative algorithm; signal reconstruction; spline subspaces; weighted sampling; Convergence; Image reconstruction; Image sampling; Iterative algorithms; Kernel; Sampling methods; Signal processing; Signal reconstruction; Signal sampling; Spline;
Conference_Titel :
Control, Communications and Signal Processing, 2004. First International Symposium on
Print_ISBN :
0-7803-8379-6
DOI :
10.1109/ISCCSP.2004.1296580
