Super-Haar designs of wavelet transforms

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

doi:10.1117/12.235989

22 March 1996 Super-Haar designs of wavelet transforms

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

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.

Citation Download Citation

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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