Wavelets and red signals

Steven D. Meyers; James J. O'Brien

doi:10.1117/12.170042

15 March 1994 Wavelets and red signals

Steven D. Meyers, James J. O'Brien

Proceedings Volume 2242, Wavelet Applications; (1994) https://doi.org/10.1117/12.170042
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

When data records contain energy at periods longer then the record standard Fourier techniques do not yield accurate spectra because of bias errors. The wavelet transform can, with proper choice of analyzing wavelet, accurately examine some of these biased signals. Each wavelet generates its own cone of influence from the endpoints that contain inaccurate wavelet coefficients. Additionally, wavelet analysis performs a scale projection from Fourier wavelength to wavelet scale that depends upon the analyzing wavelet. Taking these two effects into account, a single parameter is found that describes how well a particular wavelet can reveal a stationary red signal.

Citation Download Citation

Steven D. Meyers and James J. O'Brien "Wavelets and red signals", Proc. SPIE 2242, Wavelet Applications, (15 March 1994); https://doi.org/10.1117/12.170042

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