In accordance with the character of heart rate variability(HRV) signal,we have divided HRV signal into 1/f fractal component and 1/f non-fractal component by use of wavelet transform.

Supposing the GPS common-view observation data has the 1/f fractal characteristic,the algorithm of wavelet transform is used to estimate the self-similar Hurst parameter H of GPS clock difference data.

On the basis of the fit for autocorrelation function,a new SNR estimation approach for 1/f fractal signal was proposed.

In terms of the identical properties of the wavelet analysis and fractal theory in multi-scale analysis and self similarity, the authors introduce the theory of multi-scale wiener filter into the treatment of ground penetrating radar signals,extract available 1/f fractal signal from ground penetrating radar based on biorthogonal wavelet transformation and calculation of multi-scale wiener filter.

Parameter estimation of 1/f-type fractal signal via wavelet transformation;

A novel method to estimate the parameters of 1/f-type fractal signal is proposed according to characteristics of the wavelet coefficient variance versus scale of 1/f-type fractal signal in white noise,and namely,after the wavelet coefficient variance is simply transformed,the parameter estimation of 1/f-type fractal signal is according with parameter estimation conditions of least square method.

A multiscale adaptive Wiener filter based on wavelet is proposed for signal restoration embedded in 1/f fractal noise.