Title :
Estimation of aliasing error in sampling theorem for signals not necessarily in wavelet subspaces
Author :
Xia, Xiang-Gen ; Zhang, Zhen
Author_Institution :
Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
Some explicit error bounds are obtained in terms of a signal and a wavelet basis. An application of the error estimation in the computation of the wavelet transform coefficients by the Shensa algorithm is also discussed. From the error bounds, it is clear that a wavelet basis can be adjusted so that the aliasing error can be reduced for a fixed signal.<>
Keywords :
error analysis; signal processing; statistical analysis; wavelet transforms; Shensa algorithm; aliasing error; explicit error bounds; sampling theorem; signals not necessarily in wavelet subspaces; wavelet transform coefficients;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on
Conference_Location :
Minneapolis, MN, USA
Print_ISBN :
0-7803-7402-9
DOI :
10.1109/ICASSP.1993.319491
