Super-Haar designs of wavelet transforms

Harold H. Szu; Joseph P. Garcia; Brian A. Telfer; Raghuveer M. Rao

doi:10.1117/12.235989

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22 March 1996 Super-Haar designs of wavelet transforms

Harold H. Szu, Joseph P. Garcia, Brian A. Telfer, Raghuveer M. Rao

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Proceedings Volume 2762, Wavelet Applications III; (1996) https://doi.org/10.1117/12.235989
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

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.

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Harold H. Szu, Joseph P. Garcia, Brian A. Telfer, and Raghuveer M. Rao "Super-Haar designs of wavelet transforms", Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); https://doi.org/10.1117/12.235989

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