THE APPLICATION OF WAVELET ANALYZE IN THE NOISE REDUCTION OF THE SIGNAL
This work was supported by the State 863 Program (2003AA148040), the National Natural Science Foundation of China (grant number 10471151,60216263, 6990312), New Century Excellent Talent Support Project of Chinese Ministry of Education, Doctor Station Foundation of Chinese Ministry of Education, Chongqing Tackle Key Problem Program and Chongqing Natural Science Foundation.
The signal gathered often contains the noise in the actual project, so only can extract the useful information in the original signal by doing noise reduction. Wavlet method have low entropy, multi-resolution characteristic, not pertinence, choose base function flexibly, adaptive time-frequency localization characteristic. All these characteristics that Fourier have not, So Wavlet analyze can extract useful information from the original signal by reducing noise.
The signal gathered in the actual project belonged to two classes, steady signal and non-steady signal.