Composite fractional power wavelets

Jason M. Kinser

doi:10.1117/12.381703

5 April 2000 Composite fractional power wavelets

Jason M. Kinser

Proceedings Volume 4056, Wavelet Applications VII; (2000) https://doi.org/10.1117/12.381703
Event: AeroSense 2000, 2000, Orlando, FL, United States

Abstract

Wavelets have a tremendous ability to extract signals from noisy environments. However, the use of wavelets can be computationally expensive. The number of computations increases with the size of the wavelet family. Here a wavelet family is combined into a single complex-valued signal that can then be used to extract information form an input signal. The advantage is that the expense of computation is that of a single correlation rather than the several correlations required by the wavelet family. This new filter is constructed using a phase-encoded fractional power filter and offers the user the option of manipulating the trade-off generalization and discrimination that is inherent in first-order filtering. The result is a computationally cheaper method of using wavelets to detect signals embedded in noise.

Citation Download Citation

Jason M. Kinser "Composite fractional power wavelets", Proc. SPIE 4056, Wavelet Applications VII, (5 April 2000); https://doi.org/10.1117/12.381703

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