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In this paper, we propose an orthonormal wavelet basis having a dilation factor (R + 1)/ R with an arbitrary real number R > 0. This orthonormal wavelet basis requires an infinite number of wavelet shapes when the dilation factor (R + 1)/ R is ir-rational, and (R + 1)/ R can be taken an arbitrary real number greater than 1 with the appropriate real number R > 0.
Traditional method of structural vibration control through stiffen the components, decoupling the harmonic resonance system, vibration and damping isolation, or dynamic vibration absorb, all rely structure damping consumption the energy, the control effect is limited because the constraints of materials performance. Piezoelectric smart structure with advantages such as fast response, arrangement flexible,...
Independent Component Analysis (ICA) is a useful method for blind source separation of two signals or more. We have previously proposed a new method combining ICA with the complex discrete wavelet transform (CDWT). In this case, the voice and the noise were separated using a new method. At that time, we used the simulation signal. In this study, we analyze measured biological signals by using this...
The research of dynamic stability involve some subjects, and it is a new research developed recent decades. It is very complex of its instability mechanization because of it is a nonlinear differential equation, so it has not achieve a common view. Wavelets analysis can solve many difficult problems that Fourier analysis can not solve, which has become a new bench developing rapidly in mathematical...
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