Projection-based prefiltering for initializing multiwavelet algorithms
Michael J. Vrhel, Akram Aldroubi · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
We discuss a method for initializing the multi-wavelet decomposition algorithm by pre-filtering. The proposed pre- filtering operation projects the input signal into the space defined by the multi-scaling function associated with the multi-wavelet. Since the approach is projection based, it is guaranteed to always have a solution. The space in which the original signal is contained is defined by multiple generating functions, making this work a generalization of our previous results.