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Proceedings Paper

Super-Haar designs of wavelet transforms
Author(s): Harold H. Szu; Joseph P. Garcia; Brian A. Telfer; Raghuveer M. Rao
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Paper Abstract

A linear superposition of Haar transform is given to design an adaptive biorthogonal subband coding. Given Haar scaling function, rect(x), a new symmetric staircase scaling function may be desirable in order to match a specific compression or recognition goal. Then, the associated lowpass filter coefficients are solved from the roots on a unit circle in the z-transform domain. From which the bi-orthogonal and lossless high pass filter is derived for both the forward analysis and the backward synthesis stages. An explicit construction of super-Haar system produces a lossless filter bank which can match an infrared image for achieving pattern recognition and compression simultaneously.

Paper Details

Date Published: 22 March 1996
PDF: 13 pages
Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); doi: 10.1117/12.235989
Show Author Affiliations
Harold H. Szu, Univ. of Southwestern Lousiana (United States)
Joseph P. Garcia, Naval Surface Warfare Ctr. (United States)
Brian A. Telfer, Naval Surface Warfare Ctr. (United States)
Raghuveer M. Rao, Rochester Institute of Technology (United States)

Published in SPIE Proceedings Vol. 2762:
Wavelet Applications III
Harold H. Szu, Editor(s)

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