Title :
A sampling theorem for shift-invariant subspace generated by several scaling functions in L2(R)
Author :
Shi, Shu ; Jicheng, Jin ; Haiyan, Yu ; Xieping, Gao
Author_Institution :
Dept. of Math., Xiangtan Univ., China
Abstract :
We construct the kernel of orthogonal projection in a shift-invariant subspace S(σ1, σ2, ..., σm) generated by several scaling functions, and obtain the sampling theorem; by using the kernel of the orthogonal projection, we get the dual bases of the interpolation basis functions. We extend the results in the space generated by one scaling function to a more general space. In addition, these results have a more practical value
Keywords :
interpolation; signal sampling; dual bases; interpolation basis functions; orthogonal projection kernel; sampling theorem; scaling functions; shift-invariant subspace; Finite element methods; Interpolation; Kernel; Mathematics; Multiresolution analysis; Sampling methods; Signal processing; Signal resolution; Signal sampling; Wavelet analysis;
Conference_Titel :
Signal Processing, 1996., 3rd International Conference on
Print_ISBN :
0-7803-2912-0
DOI :
10.1109/ICSIGP.1996.566864
