Title :
Pre-filtering for the initialization of multi-wavelet transforms
Author :
Vrhel, Michael J. ; Aldroubi, Akram
Author_Institution :
Nat. Inst. of Health, Bethesda, MD, USA
Abstract :
We introduce a new method for initializing the multi-wavelet decomposition algorithm. The approach assumes that the input signal is contained within some well-defined subspace of L2 (e.g. space of bandlimited functions). The initialization algorithm is the orthogonal projection of the input signal into the space defined by the multi-scaling function. Unlike an interpolation approach, the projection method will always have a solution. We provide examples and implementation details
Keywords :
digital filters; signal processing; wavelet transforms; L2; bandlimited functions; implementation details; initialization; input signal; multi-scaling function; multi-wavelet decomposition algorithm; multi-wavelet transforms; orthogonal projection; pre-filtering; projection method; Algorithm design and analysis; Biomedical engineering; Compaction; Convolution; Digital images; Equations; Filtering; Instruments; Interpolation; Signal generators;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.599344
