Title :
New signal-space orthonormal bases via the metaplectic transform
Author :
Baraniuk, Richard G. ; Jones, Douglas L.
Author_Institution :
Ecole Normale Superieure de Lyon, France
Abstract :
The discretization of the metaplectic transform (MT) is considered, and it is shown that it can lead to completely new orthonormal bases (ONBs) for the signal space of square integrable functions. Two new classes of bases, the scale-and-shear bases and the translation-and-shear bases, are derived to demonstrate the discretization process. Besides generalizing the current methods of generating time-frequency-concentrated ONBs, MT bases possess extra degrees of freedom that can be used to match a wider variety of signals
Keywords :
functions; signal processing; transforms; discretization process; metaplectic transform; scale-and-shear bases; signal-space orthonormal bases; square integrable functions; time-frequency concentrated bases; translation-and-shear bases; Computer science education; Continuous wavelet transforms; Discrete wavelet transforms; Fourier transforms; Lattices; Signal analysis; Signal processing; Time frequency analysis; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274169
