Wavelets and red signals
Steven D. Meyers, James J. O'Brien · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994
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.