Wavelet modulation and recovery of weak signals via frequency selective thresholding

Arun K. Majumdar; Fotios P. Kourouniotis

doi:10.1117/12.563202

22 October 2004 Wavelet modulation and recovery of weak signals via frequency selective thresholding

Arun K. Majumdar, Fotios P. Kourouniotis

Proceedings Volume 5557, Optical Information Systems II; (2004) https://doi.org/10.1117/12.563202
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

The limitations of straight forward wavelet transformations have been investigated for some time1. In this paper, it is shown that the time-frequency resolution tradeoff may be significantly improved by frequency modulating the mother wavelet. In this way weak signal components may be more efficiently recovered from strong noise. This technique is applied on discrete seismic data sets. In addition to frequency modulating the mother wavelet, it is shown that the quality of the recovered signals may be substantially improved by the application of weights to modify the mean wavelet transform of the data set. The two-dimensional variance and signal-to-noise ratio (SNR) plots will be used in order to achieve this goal. It is also shown that by employing a frequency selective thresholding method, even better results as far as suppressing noise while keeping the signal can be attained.

Citation Download Citation

Arun K. Majumdar and Fotios P. Kourouniotis "Wavelet modulation and recovery of weak signals via frequency selective thresholding", Proc. SPIE 5557, Optical Information Systems II, (22 October 2004); https://doi.org/10.1117/12.563202

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