Title :
Projection based prefiltering for multiwavelet transforms
Author :
Vrhel, Michael J. ; Aldroubi, Akram
Author_Institution :
Color Savvy Syst. Ltd., Springboro, OH, USA
fDate :
11/1/1998 12:00:00 AM
Abstract :
We introduce a method for initializing the multiwavelet decomposition algorithm. The initialization procedure is the orthogonal projection of the input signal into the space defined by the multiscaling function. The approach will always have a solution, places no restrictions on the input (except that it be contained within L2 ), and can be implemented in a fast algorithm. We present the details of our approach and compare it with another proposed method of prefiltering
Keywords :
digital filters; least squares approximations; signal processing; wavelet transforms; fast algorithm; initialization procedure; input signal; multiscaling function; multiwavelet decomposition algorithm; multiwavelet transforms; orthogonal projection; projection based prefiltering; Algorithm design and analysis; Compaction; Convolution; Energy resolution; Equations; Interpolation; Mathematics; Sampling methods; Signal generators; Signal resolution;
Journal_Title :
Signal Processing, IEEE Transactions on
