New wavelet transform normalization to remove frequency bias

Brian A. Telfer; Harold H. Szu

doi:10.1117/12.59912

1 September 1992 New wavelet transform normalization to remove frequency bias

Brian A. Telfer, Harold H. Szu

Author Affiliations +

Optical Engineering, Vol. 31, Issue 9, (September 1992). https://doi.org/10.1117/12.59912

Abstract

A new wavelet transform normalization procedure is proposed for the construction of a weighted bank of correlation filters. The standard normalization results in lower input frequencies producing larger wavelet transform magnitudes for equal-amplitude frequencies, while the new normalization produces equal responses as desired. This is illustrated with examples of Gibbs overshooting phenomenon and a cocktail party effect. A derivation is given to show that an inverse transform still exists when using the new normalization.

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Brian A. Telfer and Harold H. Szu "New wavelet transform normalization to remove frequency bias," Optical Engineering 31(9), (1 September 1992). https://doi.org/10.1117/12.59912

Published: 1 September 1992

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