Modified wavelet transform for unbiased frequency representation

Brian A. Telfer; Harold H. Szu

doi:10.1117/12.138464

1 October 1992 Modified wavelet transform for unbiased frequency representation

Brian A. Telfer, Harold H. Szu

Proceedings Volume 1705, Visual Information Processing; (1992) https://doi.org/10.1117/12.138464
Event: Aerospace Sensing, 1992, Orlando, FL, United States

Abstract

A new wavelet transform normalization procedure is proposed for the construction of a weighted bank of matched filters. The standard normalization results in higher input frequencies producing larger wavelet transform magnitudes if the amplitude of the frequencies is held constant, while the new normalization produces equal responses. This is illustrated with an example of Gibb's overshooting phenomenon, and connections to neural networks are discussed. Another example is presented which illustrates a cocktail party effect. A derivation is given to show that an inverse transform still exists when using the new normalization.

Citation Download Citation

Brian A. Telfer and Harold H. Szu "Modified wavelet transform for unbiased frequency representation", Proc. SPIE 1705, Visual Information Processing, (1 October 1992); https://doi.org/10.1117/12.138464

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