This paper describes matrix based algorithms for computing wavelet transform representations with application to multiresolution analysis. Structure of the algorithm presented is well suited for programming purpose and also for the implementation on VLSI processors. By using overlap-add or overlap-save techniques, constant matrix size can be used to accommodate arbitrary data lengths. Performance of the algorithm described in this paper is illustrated by decomposing an image into details and smoothed components.
Anna Z. Baraniecki
and Salahadin O. Karim
"Computational algorithms for discrete wavelet transform using fixed-size filter matrices", Proc. SPIE 1699, Signal Processing, Sensor Fusion, and Target Recognition, (9 July 1992); doi: 10.1117/12.138249; https://doi.org/10.1117/12.138249
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Anna Z. Baraniecki, Salahadin O. Karim, "Computational algorithms for discrete wavelet transform using fixed-size filter matrices," Proc. SPIE 1699, Signal Processing, Sensor Fusion, and Target Recognition, (9 July 1992);