Self-similar pyramidal structures and signal reconstruction

John J. Benedetto; Manuel Leon; Sandra Saliani

doi:10.1117/12.304881

26 March 1998 Self-similar pyramidal structures and signal reconstruction

John J. Benedetto, Manuel Leon, Sandra Saliani

Proceedings Volume 3391, Wavelet Applications V; (1998) https://doi.org/10.1117/12.304881
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

Pyramidal structures are defined which are locally a combination of low and highpass filtering. The structures are analogous to but different from wavelet packet structures. In particular, new frequency decompositions are obtained; and these decompositions can be parameterized to establish a correspondence with a large class of Cantor sets. Further correspondences are then established to relate such frequency decompositions with more general self- similarities. The role of the filters in defining these pyramidal structures gives rise to signal reconstruction algorithms, and these, in turn, are used in the analysis of speech data.

Citation Download Citation

John J. Benedetto, Manuel Leon, and Sandra Saliani "Self-similar pyramidal structures and signal reconstruction", Proc. SPIE 3391, Wavelet Applications V, (26 March 1998); https://doi.org/10.1117/12.304881

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