Title :
Wavelet coefficient computation with optimal prefiltering
Author :
Xia, Xiang-Gen ; Kuo, C. C Jay ; Zhen Zhang
Author_Institution :
Dept. of Electr. & Comput. Eng., Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA
fDate :
8/1/1994 12:00:00 AM
Abstract :
Discrete wavelet transform (DWT) is often used to approximate wavelet series transform (WST) and continuous wavelet transform (CWT), since it can be computed numerically. In this research, we first study the accuracy of the computed DWT coefficients obtained from the Shensa (see ibid., vol.40, no.10, p.2464-2482, 1992) algorithm as an approximate of the WST coefficients. Based on the accuracy analysis, we then propose a procedure to design optimal FIR prefilters used in the Shensa algorithm to reduce the approximation error. Finally, numerical examples are presented to demonstrate the performance of the optimal FIR prefilters
Keywords :
filtering and prediction theory; signal processing; wavelet transforms; CWT; DWT; Shensa algorithm; WST; accuracy analysis; approximation error reduction; continuous wavelet transform; discrete wavelet transform; optimal FIR prefilters; optimal prefiltering; wavelet coefficient; wavelet series transform; Algorithm design and analysis; Approximation algorithms; Continuous wavelet transforms; Discrete wavelet transforms; Finite impulse response filter; Image processing; Signal processing; Wavelet analysis; Wavelet coefficients; Wavelet transforms;
Journal_Title :
Signal Processing, IEEE Transactions on
