Wavelet Transform And Pca Analysis Of The Joint Application In The Vibration Signal Processing

The detection and the analysis of the wave signal are much more important no matter in the application of the industry or in the military application. In our actual life, there is no "pure" medium for the useful signal to transmit in. So the signals are always polluted by several kinds of noises in the process of transmitting. The signals are noised by the natural noises in the industry practice and by the enemy's electronic interruptions. Especially when there is a break occurred, the noise would cover the important information, because the breaks in the signals are mostly telling the true information of the actual condition. They stand for the characteristics of the signals. In the industry practice, they may be telling that the machines are out of control. And in the military defeating, they may be telling that the enemy's weapons are on way, or our weapons are in fault. These all information may bring us huge or even vital influence. Therefore, detecting the formal useful signal from various noises deserves our attention to research on it. The paper is involved in this field. Mainly one part of the paper is how the wavelet principle is used in 1-dimension wave signal denoising. And the other is the use of the combination of wavelet principle and the PCA principle in detecting of the breaks of the signals.The wavelet analysis principle is the perfect combination of the pure mathematics, the application mathematics, the physics and the application engineering technologies. From the respect of the mathematics, the wavelet analysis principle is the crystal of the congruity analysis that includes the Fourier transform and the function space since nearly more than 50 years. The birth and the development of the wavelet analysis principle is one of the most splendid scientific fruit in the 20^th century. The method based on the wavelet analysis is becoming one of the most effective implement in signal analysis. And it is still being developed onwards in a high speed. So far, the research on the new principle, new method and new application of the wavelet takes on much more academic significance and practical merit.On the other hand, in the process which the practical problems are solved, PCA (Principal Component Analysis) principle is used to default the relationship between the parameters. In this way, the complication in solving the problems is cut down enormously.The paper expresses a method based on the combination of the wavelet analysis and the PCA principle to enhance the effect in detecting the breaks of the signals.