Subband coding for sigmoidal nonlinear operations

John J. Benedetto; Sandra Saliani

doi:10.1117/12.170043

15 March 1994 Subband coding for sigmoidal nonlinear operations

John J. Benedetto, Sandra Saliani

Proceedings Volume 2242, Wavelet Applications; (1994) https://doi.org/10.1117/12.170043
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

A theory of wavelet packets is developed for nonlinear operators consisting of a composition, generalizing a sigmoidal operation, followed by convolutions with filter pairs H₀ and H₁. The pyramidal wavelet packet structure is defined by bit reversal trees. The reconstruction theorem, from which the original signal is obtained from frequency localized data at other nodes of the three, requires fixed point theory as well as conditions on H₀ and H₁ resembling those defining quadrature mirror filter pairs. Applications will be to biological systems and neural networks where such nonlinearities occur.

Citation Download Citation

John J. Benedetto and Sandra Saliani "Subband coding for sigmoidal nonlinear operations", Proc. SPIE 2242, Wavelet Applications, (15 March 1994); https://doi.org/10.1117/12.170043

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