Ten lectures on wavelets
Time series: data analysis and theory
Time series: data analysis and theory
Extracting information from noisy measurements of periodic signalspropagating through random media
IEEE Transactions on Signal Processing
De-noising by soft-thresholding
IEEE Transactions on Information Theory
Detection and 2-Dimensional display of short tandem repeats based on signal decomposition
International Journal of Data Mining and Bioinformatics
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In the second part of this series, we report application procedures and performances of "modified frequency extent denoising (MFED)" and "constant frequency extent denoising (CFED)". It is shown that MFED and CFED work independently of the nature of noise (colored or white, Gaussian or not) and locations of its spectral extent. Denoising is achieved without using a priori information on the signal and any sort of averaging in the time or frequency domain. Moreover, CFED depicts better white denoising performances than the modified periodogram method. Denoising ability of CFED applies with much better performances than bispectrum estimation and wavelet denoising when spectra of experimental random processes (Doppler velocimetry signals) and colored noise (Gaussian or not) superimposed to them, overlap. It is shown that CFED is a powerful denoising and analysis tool of buried random signals occurring in real world situations.