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Optical implementations of the wavelet transform

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Abstract

The theory of the wavelet transform (WT) is discussed as it relates to nonstationary signals. Two optical architectures are presented for the implementation of the WT. The optical time and space integrating implementations of the WT allow the use of space to simultaneously present the function under analysis to a series of variable pass-band filters. Space integrating architectures allow the use of space to represent a range of frequencies as a bank of filters. On the other hand, time integrating architectures have the ability to change the integration time to provide the necessary variation of frequency across the spatial extent of the beam to implement the WT.

© 1992 Optical Society of America

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