Algorithm 735
swMATH ID:  4403 
Software Authors:  Taswell, Carl; McGill, Kevin C. 
Description:  Algorithm 735: Wavelet transform algorithms for finiteduration discretetime signals. The algorithms split for the wavelet transform and merge for the inverse wavelet transform are presented for finiteduration discretetime signals of arbitrary length not restricted to a power of 2. Alternative marix and vectorfilter implementations of alternative truncated, circulant, and extended versions are discussed. Matrix and vectorfilter implementations yield identical results and enhance, respectively, didactic conceptualization and computational efficiency. Truncated, circulant, and extended versions produce the signalend effects of, respectively, errors, periodization, and redundancy in the transform coefficients. The use of any one of these three versions avoids the signalend effects associated with the other two versions. Additional alternatives that eliminate all signalend effects (albeit at the cost of increased algorithmic complexity) are discussed briefly. 
Homepage:  http://dl.acm.org/citation.cfm?id=192156 
Keywords:  multiresolution analysis; signal processing; waveform analysis; wavelet transform; inverse wavelet transform; finiteduration discretetime signals 
Related Software:  WavBox 4; wavethresh; LTFAT; Linear Time Frequency Analysis Toolbox; UNLocBoX; DTCWT; Octave; Matlab; PLS_Toolbox 
Referenced in:  15 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Algorithm 735: Wavelet transform algorithms for finiteduration discretetime signals. Zbl 0889.65144 Taswell, Carl; McGill, Kevin C. 
1994

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Referenced by 20 Authors
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Referenced in 9 Serials
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