The weak signal with noise is decomposed by wavelet multi-scale, then the different filter parameters were selected for the multi-scale signals, and the signals were processed by adaptive filter, and finally the filter filtered out the noise in order to detect the weak signal.
The proposed algorithms exploit multi-scale signal information through a multi-scale weighting approach.
With a local decomposition of a multi-scale signal, wavelet analysis is particularly suited to detect and follow the time evolution of the frequency distribution of a given time series (Ivanov et al., 2001; Kovacs et al., 2001; Lui, 2002; Mendes et al., 2005; Mandea and Balasis, 2006; Zaourar et al., 2006; Gaci et al., 2010).
Scale-space (Witkin, 1983) is a framework for multi-scale signal representation.
Similarly, in order to investigate the relationship between single-molecule stochastic events and whole-cell behavior, Skupin et al. [38] implemented a multi scale calcium signaling and spike generation model.
Since the information of original signals can be well preserved and enhanced with saliency extraction and multi scale decomposition process, the fusion algorithm performs robustly and excellently.
It is effective for identifying local and multi-scale features from signals or images and has been widely used in pattern recognition tasks.
Additionally, in order to validate the results obtained from optical probe signals, multi-scale cross entropy (MSCE) algorithm is applied to analyze signals of high-resolution half-ring conductance sensor to uncover the dynamical instability of oil-gas-water bubbly flows under different flow conditions.
As a kind of time-LCD-frequency representation, the proposed DLCWT allows multi-scale analysis and the signal reconstruction without redundancy.
Wavelet transform makes a multi-scale analysis of functions or signals by expansion, translation operations, so that some characteristics can be fully highlighted.
Firstly, noisy signal is processed by orthogonal wavelet transform to decompose the signal into multi-scale ingredients.
