Title :
Initialization of orthogonal discrete wavelet transforms
Author :
Zhang, Jiankang ; Bao, Zheng
Author_Institution :
Lab. for Signal Process., Xidian Univ., Xi´´an, China
fDate :
5/1/2000 12:00:00 AM
Abstract :
The asymptotic formulae of both the approximation error and the systematic error of a special prefilter projection and the quantitative estimates of the upper bounds of the errors are obtained. In addition, it is shown that for the Daubechies´ orthogonal wavelet basis, the estimated constant is optimal
Keywords :
FIR filters; approximation theory; bandlimited signals; discrete wavelet transforms; error analysis; filtering theory; Daubechies orthogonal wavelet basis; FIR prefilter projection; approximation error; asymptotic formulae; bandlimited signals; initialization; orthogonal discrete wavelet transforms; quantitative estimates; systematic error; upper bounds; Approximation error; Detectors; Discrete wavelet transforms; Image coding; Signal detection; Signal processing; Signal processing algorithms; Signal sampling; Upper bound; Wavelet transforms;
Journal_Title :
Signal Processing, IEEE Transactions on
